[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"blog-article-icm-poker-explained-en":3,"mdc-l0mfb0-key":57},{"id":4,"slug":5,"status":6,"section":7,"category":8,"author":9,"publish_date":10,"read_time":11,"image":12,"embedded_components":13,"related_calculators":13,"related_articles":14,"title":15,"description":16,"keywords":17,"content":28,"faq":29,"availableLocales":54},"b63a2e72-5c83-483b-a771-70bd5681910b","icm-poker-explained","published","poker","strategies","Evgeniy Volkov","2026-07-03",13,"\u002Fimages\u002Fblog\u002Ficm-poker-explained.webp","[]",[],"ICM in Poker Explained: Chip Model Math (2026)","ICM in poker explained: how the Independent Chip Model converts chip stacks into real payout equity, when it matters, and how to practice it in 2026.",[18,19,20,21,22,23,24,25,26,27],"icm in poker","poker icm","what is icm in poker","icm poker meaning","independent chip model","chip ev vs icm","bubble factor poker","icm calculator poker","final table deal icm","risk premium poker","# What Is ICM in Poker? The Independent Chip Model in 2026\n\nNine players left in a \\$109 online MTT, eight get paid. You're sitting on the bubble with A♠K♦, a genuinely strong hand, and the big stack to your left jams all-in. You cover him by a hair. Snap-call, right?\n\nIn chips, yes. In real money, calling here can burn more equity than the pot is worth. That gap between \"chips say call\" and \"dollars say fold\" is the whole reason the Independent Chip Model exists, and in 2026 it is still the single most important piece of math in tournament poker. This guide covers what ICM is, how it is actually calculated (with a full worked example whose numbers add up), and when it should change your play. When you want to feel it rather than read it, you can [practice ICM spots in our ICM trainer](\u002Fpoker\u002Ficm-trainer).\n\n## TL;DR: ICM in 30 Seconds\n\nChips are not money. ICM is the math that turns your chip stack into its real cash value, by adding up your chance of each finishing place times what that place pays. That value is not proportional to your chip count: the chip leader is worth less than their chip share, short stacks are worth more than theirs, and near pay jumps this flips marginal all-ins from correct to losing.\n\n### Key numbers to remember\n\n| Term | In plain English |\n|---|---|\n| ICM equity | Your stack's real dollar value if the tournament stopped now |\n| Chip EV | Value that treats every chip as equal dollars (wrong late in a tournament) |\n| Bubble factor | How much more you risk than you stand to gain on a hand |\n| Risk premium | The extra equity you need before a call becomes profitable |\n\nThe one habit that separates tournament winners from cash players who wandered in: near the money and at the final table, stop counting chips and start counting dollars.\n\nIf you'd rather see the concept before you read the math, this short explainer covers the same ground.\n\n::lazy-youtube\n---\nidEn: GW7u3ADfULM\nidRu: FhCujm73Q7Q\ntitle: ICM in poker explained\n---\n::\n\n## Why Chips Aren't Money in Tournaments\n\nIn a cash game, a chip is a dollar. Win 40 big blinds, stand up, cash 40 big blinds. Tournaments break that rule the moment you register, because the prize pool is fixed and only the top finishers touch it.\n\n### Chip EV vs real-money equity\n\nChip EV is the value you get if you pretend every chip is worth the same fixed amount. It's the right model for cash and the wrong model for the back half of a tournament. Real-money equity, which is what ICM computes, accounts for the payout ladder. The two agree early, when stacks are deep and flat, and they diverge hard once real money is on the line.\n\nThe core reason is worth sitting with: the money you can win by doubling up is capped by the payout structure, but the money you lose by busting is your entire tournament life. Reward is limited, risk is total. That asymmetry is exactly what ICM measures.\n\nThis is also why every chip you add to your stack is worth slightly less in dollars than the one before it. Your first 10,000 chips buy you survival and a shot at min-cashing. Your fiftieth 10,000 chips mostly buy a bigger number that you can only convert to cash by actually finishing high. Economists call this diminishing marginal value, and in poker it is brutal near the end.\n\nThe table below takes a real three-player spot (worked out in full further down) and shows the dollar value of 1,000 chips at each stack size. Watch the value per chip fall as the stack grows.\n\n| Stack | Chip % | ICM value | Value per 1,000 chips |\n|---|---|---|---|\n| 20,000 | 20% | \\$288.57 | \\$14.43 |\n| 30,000 | 30% | \\$327.50 | \\$10.92 |\n| 50,000 | 50% | \\$383.93 | \\$7.68 |\n\n::chart-generic\n---\ntype: line\ntitle: Dollar value per 1,000 chips falls as your stack grows\nlabels: [\"20k stack\", \"30k stack\", \"50k stack\"]\ndata: [14.43, 10.92, 7.68]\nyLabel: \"$ per 1,000 chips\"\nxLabel: \"Stack size\"\n---\n::\n\nA short stack's chips are precious. A monster stack's chips are cheap. That is not a metaphor, it is arithmetic, and it drives every ICM decision that follows.\n\n## How ICM Is Calculated: A Worked Example\n\nICM is one clean idea buried under some heavy bookkeeping. The idea:\n\n$$\\text{ICM equity} = \\sum_i P(\\text{finish } i) \\times \\text{payout}_i$$\n\nFor every possible finishing position, multiply your chance of landing there by what it pays, then add it all up. The only hard part is computing the probabilities.\n\n### From stacks to finish probabilities\n\nThe starting point is simple:\n\n$$P(\\text{1st}) = \\frac{\\text{your stack}}{\\text{total chips in play}}$$\n\nHold 50,000 of the 100,000 chips in play and you take first 50% of the time. That single assumption, chips equal win probability, is the engine of the whole model.\n\nSecond place is where people give up and reach for a calculator. The logic: to finish second, someone else has to win first, and then you have to be the \"winner\" of everyone remaining. Walk through each possible first-place finisher, weight by how often they win, then compute your share of the remaining chips.\n\n#### Following one clean branch\n\nThree players: A has 50,000, B has 30,000, C has 20,000. What is A's chance of finishing second?\n\nSomeone other than A wins first. Two cases:\n\n- B wins first (30% of the time). Now only A and C remain, with 50,000 and 20,000. A wins that pair 50,000 \u002F 70,000 = 71.4% of the time. Contribution: 0.30 × 0.714 = 0.214.\n- C wins first (20% of the time). Now A and B remain, with 50,000 and 30,000. A takes it 50,000 \u002F 80,000 = 62.5% of the time. Contribution: 0.20 × 0.625 = 0.125.\n\nAdd them: A finishes second 0.214 + 0.125 = 34.0% of the time. Third is whatever remains, so A busts first 1 − 0.50 − 0.34 = 16.0% of the time. That is the entire model. Do it for every player and every place and you have priced the table. With five, six, or nine players the branches explode into thousands of paths, which is exactly why a solver earns its keep.\n\n### Chip EV vs ICM equity\n\nNow put it in dollars. Three players remain, payouts are \\$500 for first, \\$300 for second, \\$200 for third (a \\$1,000 pool). Apply the finish probabilities above:\n\n| Player | Chips | Chip % | Chip-EV value | ICM value | Difference |\n|---|---|---|---|---|---|\n| A | 50,000 | 50% | \\$500.00 | \\$383.93 | −\\$116.07 |\n| B | 30,000 | 30% | \\$300.00 | \\$327.50 | +\\$27.50 |\n| C | 20,000 | 20% | \\$200.00 | \\$288.57 | +\\$88.57 |\n| **Total** | **100,000** | **100%** | **\\$1,000.00** | **\\$1,000.00** | **\\$0.00** |\n\nBoth columns total exactly \\$1,000, which is the sanity check every honest ICM example must pass: dollars in equal dollars out. Nothing is invented.\n\n#### Why the chip leader is not worth their chip share\n\nPlayer A holds half the chips but only 38% of the money. They gave up \\$116 of chip-share value simply because they cannot finish better than first, and first is capped at \\$500. Player C, the short stack, holds 20% of the chips but 29% of the money, because even the last-place payout of \\$200 is guaranteed value that props up a small stack. This single table is the reason big stacks should apply pressure and short stacks should tighten up, which we get to below.\n\n## Risk Premium and Bubble Factor\n\nThe worked example prices a frozen table. Real decisions are about risking that equity. Two numbers describe the risk: risk premium and bubble factor.\n\n### The same all-in, two different answers\n\nFour players left in a single-table event, three get paid: \\$1,000 \u002F \\$600 \u002F \\$400 \u002F nothing for fourth. You and the villain both have 40,000 chips; two short stacks sit on 10,000 each. The villain open-jams, you cover exactly, and you have to call for your whole stack. Say your hand is a 55% favorite to win.\n\nIn chips, that is a trivial call. You win 40,000 chips 55% of the time and lose 40,000 chips 45% of the time:\n\n0.55 × (+40,000) + 0.45 × (−40,000) = +4,000 chips. Positive. Chip EV says call, and chip-EV break-even is just 50%.\n\nNow price it in dollars with ICM:\n\n| Decision | In chips | ICM value |\n|---|---|---|\n| Fold (keep 40,000) | baseline | \\$688.89 |\n| Call and win (go to 80,000) | +40,000 | \\$915.56 |\n| Call and lose (bust in 4th) | −40,000 | \\$0.00 |\n| Call, weighted at 55% win | +4,000 | \\$503.56 |\n\nFolding is worth \\$688.89. Calling as a 55% favorite is worth only 0.55 × \\$915.56 = \\$503.56. Folding beats calling by about \\$185, even though you are a favorite and even though the call prints chips. To make calling break even under ICM you would need roughly \\$688.89 \u002F \\$915.56 = 75% equity, not 50%. That 25-point gap between chip break-even and ICM break-even is the risk premium, and it is enormous here because busting on the bubble costs you everything while doubling barely moves your locked-in equity. Want to internalize the feeling? [Run this exact spot in the trainer](\u002Fpoker\u002Ficm-trainer) and vary your equity until the call turns green.\n\n### Bubble factor by tournament stage\n\nBubble factor packages that same idea into one multiplier: how much a lost chip costs you versus how much a won chip gains you. In our spot above, folding risks \\$688.89 of equity to gain only \\$226.67, a bubble factor near 3.0. The table below gives working ranges by stage. These are heuristic bands consistent with published ICM study from GTO Wizard and others, not hard laws, so treat them as a compass rather than a GPS.\n\n| Stage | Typical bubble factor | Risk premium | What it means for your range |\n|---|---|---|---|\n| Early \u002F deep, flat stacks | ~1.0 | ~0% | Play close to chip EV |\n| Mid, antes in | 1.1 to 1.3 | 3 to 8% | Slight tightening of calls |\n| Money bubble | 1.5 to 2.0 | 10 to 15% | Tighten calls a lot, jam relentlessly |\n| Final table, big pay jumps | 2.0 to 3.5 | 15 to 25% | Tightest calls; short stacks fold most flips |\n\n::chart-generic\n---\ntype: bar\ntitle: Bubble factor climbs as the pay jumps get bigger\nlabels: [\"Early \u002F deep\", \"Mid\", \"Money bubble\", \"Final table\"]\ndata: [1.0, 1.2, 1.8, 2.8]\nyLabel: \"Bubble factor\"\n---\n::\n\nThe closer you are to a big pay jump, the higher the bar, and the more equity you need before risking your stack. That is the whole of ICM strategy compressed into one chart.\n\n## How ICM Changes Your Strategy\n\nICM does not change what a good hand is. It changes how much equity you need before you are willing to bet your tournament life on it. The adjustment depends entirely on your stack.\n\n### Adjusting to your stack size\n\nShort stacks live and die on fold equity. Your job is to be the one shoving, not calling, because when you jam you can win the pot uncontested, and when you call you can only realize your raw equity. Push wide, call tight. A medium stack has the worst of it near a bubble: enough to lose by busting, not enough to bully. Medium stacks should avoid marginal spots against anyone who covers them and pick on the true short stacks instead. If your bankroll is not built to ride the swings these spots create, sort that out first with a look at [poker bankroll math](\u002Fpoker\u002Fbankroll) and our [bankroll management guide for poker](\u002Fblog\u002Fbankroll-management-poker).\n\nThe big stack plays the opposite game. The chip leader from our worked table gave up \\$116 of chip value, and pressure is how they earn it back. When you cover the table, every all-in you make puts the other players' tournament lives at risk, not yours. Open more, three-bet jam more, and attack the medium stacks who cannot call without risking a pay jump. You are effectively taxing everyone else's fear.\n\n### Stack geometry: watch the other stacks\n\nThe most missed ICM skill is looking past your own stack. A call that is fine when the other stacks are even can be a disaster when a shorter stack is about to bust. If two players are on fumes, folding almost anything is correct because someone else may bust for you and lock in a pay jump for free. Who covers whom matters as much as your own cards. [Modeling variance across a full tournament](\u002Fpoker\u002Fvariance-simulator) makes this geometry click faster than any single hand can.\n\n## When ICM Matters Most\n\nICM is not always loud. Sometimes it whispers, and knowing when to listen saves your stack. The two spots where it dominates are the money bubble and the final table.\n\nOn the money bubble, the jump from nothing to a min-cash is the largest percentage jump in the whole tournament, so bubble factors spike and calls tighten to almost nothing. At the final table, every pay jump is large in absolute dollars, so the same logic runs throughout. If you only apply ICM in two places, apply it at these two.\n\n### Final-table deals and chops\n\nWhen a final table gets short, players often stop and split the prize pool. ICM is the fair baseline for that split, because it prices each stack in dollars rather than raw chips. A naive chip-chop just divides the pool by chip percentage, and that can shortchange short stacks below their guaranteed money.\n\nThree players at a final table with \\$10,000 \u002F \\$6,000 \u002F \\$4,000 left to play for, holding 60,000 \u002F 30,000 \u002F 10,000 chips:\n\n| Player | Chips | Straight chip-chop | ICM deal |\n|---|---|---|---|\n| A | 60,000 | \\$12,000 | \\$8,247.62 |\n| B | 30,000 | \\$6,000 | \\$6,766.67 |\n| C | 10,000 | \\$2,000 | \\$4,985.71 |\n| **Total** | **100,000** | **\\$20,000** | **\\$20,000** |\n\nThe straight chip-chop pays the short stack only \\$2,000, which is below the \\$4,000 that third place already guarantees. No rational player accepts that. ICM correctly pays player C almost \\$5,000, because their locked-up minimum is worth real money. If you are ever offered a deal, price it against ICM before you agree. If you play staked, run the split through the [staking and markup calculator](\u002Fpoker\u002Fstaking-calculator) so your backer's share is right.\n\n### Satellites, where ICM is extreme\n\nSatellites are ICM turned up to maximum. Every seat pays exactly the same, so the moment you have enough chips to lock a seat, one more chip is worth almost nothing and busting costs you everything. Correct satellite play looks insane to a cash player: folding aces preflop can be right when you are already in, which inverts the usual [preflop range charts by position](\u002Fblog\u002Fpoker-hand-ranges-preflop-charts). That is not a myth, it is ICM at its logical extreme.\n\n### When ICM barely moves\n\nDeep in a tournament with 200 players left and everyone holding similar stacks, ICM and chip EV are nearly identical. Pay jumps are tiny and far away, so a chip is close to a chip. Play a near chip-EV game here and save the tight ICM folds for when the ladder gets steep. Applying bubble-factor tightness 300 players from the money just bleeds chips you will need later.\n\n## Common ICM Mistakes\n\nAlmost nobody covers these well, and they cost real money. Here are the three that show up most often, on the felt and in staked players' hand histories.\n\n### Calling off too wide near a pay jump\n\nThe number-one leak. Players see a 55% or 60% favorite and call on instinct, exactly like our worked spot where 55% was a clear fold. Under a bubble factor of 2 or 3, being ahead is not enough. You need to be a big favorite, often 70% or more, before a stack-off is correct. When in doubt near the money, fold and let someone else bust.\n\n### Ignoring who covers whom\n\nThe second leak is tunnel vision on your own hand. Whether the player jamming into you covers you, or you cover them, can completely flip the decision, because only the player at risk of busting pays the ICM tax. Always ask who dies if this goes wrong before you commit chips.\n\n### Treating ICM as gospel\n\nThe opposite error is trusting ICM blindly. It assumes everyone plays equally well and ignores your future edge, position, and blind pressure. A strong player with a clear skill edge should deviate to keep chips in play for spots where that edge compounds. The equity you leave on the table by folding a thin edge can be worth it if you expect to out-play the field later.\n\n#### FGS and DCM: models that go further\n\nICM is a snapshot. It ignores that blinds keep rising and that play continues. Future Game Simulation (FGS) and the Dependent Chip Model (DCM) try to fix this by looking a few hands ahead. They are more accurate near the money and more expensive to compute. For 99% of decisions, plain ICM plus judgment is enough, and it is what every solver you will actually use is built on. One more caveat: in PKO or bounty formats the math shifts, because part of every stack is a cash bounty you collect the instant you knock someone out, so a covered player is worth more than pure ICM says.\n\n## Practice, Tools, and the History of ICM\n\nReading about ICM builds intuition slowly. Drilling real spots builds it fast, because the numbers stop being abstract the moment one costs you a buy-in.\n\n### Train real ICM spots\n\nThe fastest way to internalize any of this is to run spots until the right fold feels obvious. [Train final-table ICM decisions](\u002Fpoker\u002Ficm-trainer) with real stacks and payouts, then check your calling ranges against [hand equity](\u002Fpoker\u002Fequity-calculator) so you know exactly how often you are ahead. Pair that with an honest look at your [risk of ruin](\u002Fblog\u002Fbankroll-risk-of-ruin-guide) and [how many buy-ins you actually need](\u002Fblog\u002Fhow-to-calculate-bankroll-units), because ICM discipline only pays off if your bankroll survives long enough to compound it. And if you cash a final table, remember the taxman: our [poker tax calculator](\u002Fpoker\u002Ftax-calculator) handles the part nobody wants to think about.\n\n### ICM software compared (2026)\n\nYou do not have to compute this by hand. Several tools do it for you, each with a different sweet spot.\n\n| Tool | Best for | Free \u002F paid | Solves |\n|---|---|---|---|\n| ICMIZER | Push\u002Ffold Nash ranges | Freemium | Ranges, deals |\n| Holdem Resources Calculator | Deep multi-way solving | Paid | Ranges, full solves |\n| GTO Wizard | Study and ICM sims | Paid | Ranges, spots |\n| ToolsGambling ICM Trainer | Fast practice and learning | Free | Bubble and final-table spots, deals |\n\nIf you are learning, start free and drill spots. If you are a grinding professional, a paid solver pays for itself in one avoided bubble punt.\n\n### Where ICM came from\n\nThe math predates poker. Statistician David Harville published the finish-order probability formula in 1973 for horse racing, ranking runners by ability rather than chips. Mason Malmuth adapted the idea to poker tournaments in 1987, and the poker community named it the Independent Chip Model. The word \"independent\" is a warning label: the model assumes each chip finishes independently of skill, position, or who is sitting where. It is not perfect, and it was never meant to be. It is the best simple answer to a genuinely hard question, which is why it has shaped tournament strategy for nearly forty years. For the formal derivation, the [Wikipedia entry on the Independent Chip Model](https:\u002F\u002Fen.wikipedia.org\u002Fwiki\u002FIndependent_Chip_Model) has the Harville formulas; [PokerNews](https:\u002F\u002Fwww.pokernews.com\u002Fpokerterms\u002Ficm.htm) and [GTO Wizard's ICM Basics](https:\u002F\u002Fblog.gtowizard.com\u002Ficm-basics\u002F) cover the strategy side, and Harville's original 1973 paper in the [Journal of the American Statistical Association](https:\u002F\u002Fwww.tandfonline.com\u002Fdoi\u002Fabs\u002F10.1080\u002F01621459.1973.10482425) is where the whole thing started.\n\nThe chip in front of you is not a dollar. Once you can price it the way ICM does, the folds that used to feel weak start to feel like free money, and the calls that felt brave start to look like the leaks they always were. If chip-dumping or soft-play at a final table ever comes up, that is a separate integrity problem covered in our [chip dumping guide](\u002Fblog\u002Fchip-dumping-poker). ICM is about honest math on an honest table.",[30,33,36,39,42,45,48,51],{"answer":31,"question":32},"ICM (Independent Chip Model) converts your tournament chip stack into real-money equity based on the remaining payouts. It answers one question: if the tournament stopped right now, what is your stack actually worth in dollars? Chips are not cash, and ICM is the math that prices them. You can test live spots in our ICM trainer at \u002Fpoker\u002Ficm-trainer.","What is ICM in poker?",{"answer":34,"question":35},"ICM adds up, across every finishing position, your probability of landing there times that payout. Your chance of first is your stack divided by all chips in play; lower finishes are weighted from there using conditional probability. The full recursion gets heavy fast with more than four players, so a solver does it for you. A three-player example is worked out in full in this guide.","How do you calculate ICM in poker?",{"answer":37,"question":38},"Chip EV treats every chip as equal dollar value; ICM treats late chips as worth less than early ones because payouts are non-linear. That is why a call that is clearly correct for chip EV can be a clear fold under ICM near a pay jump. The gap between the two is what pros call the risk premium.","What is the difference between chip EV and ICM?",{"answer":40,"question":41},"ICM matters most near the money bubble and at the final table, where pay jumps are large. Deep in a tournament with flat, similar stacks it barely moves the decision. On the bubble it can flip a marginal all-in from correct to a disaster, so that is where you apply it hardest.","When should you use ICM in poker?",{"answer":43,"question":44},"Bubble factor measures how much more you risk than you stand to gain, because busting costs you more equity than doubling gains you. A bubble factor of 2.0 means you need to win a coinflip far more than half the time for a call to break even. Early in a tournament it sits near 1.0; on a hard bubble it can reach 2.0 to 3.5.","What is the ICM bubble factor?",{"answer":46,"question":47},"At a final table, players often stop and split the prize pool. ICM gives the baseline split by chip equity, so you can see whether a proposed deal pays you more or less than your stack is mathematically worth. A naive chip-chop can even pay a short stack below their locked-up minimum, which ICM never does.","What does ICM mean for final table deals?",{"answer":49,"question":50},"No. ICM assumes every player is equally skilled and ignores blinds, position, and future edge. Strong players deviate to keep chips for the edge they expect later. In PKO or bounty formats the math shifts too, because part of every stack is a cash bounty. ICM is still the correct starting point for pay-jump decisions.","Is ICM always right?",{"answer":52,"question":53},"Independent Chip Model. It is the standard method for turning tournament chip stacks into monetary equity using the payout structure. It was adapted to poker from finish-order probability work by Harville (1973) and popularized by Mason Malmuth (1987).","What does ICM stand for in poker?",[55,56],"en","ru",{"data":58,"body":59},{},{"type":60,"children":61},"root",[62,71,77,91,97,102,109,189,194,199,206,212,217,223,228,233,238,243,344,354,359,365,370,728,733,739,744,975,980,985,992,997,1002,1017,1022,1028,1033,1214,1219,1225,1230,1236,1241,1247,1252,1257,1262,1267,1364,1376,1382,1387,1510,1517,1522,1528,1533,1539,1559,1564,1570,1583,1589,1594,1599,1605,1610,1615,1742,1755,1761,1774,1780,1785,1791,1796,1802,1807,1813,1818,1824,1829,1835,1840,1846,1851,1857,1901,1907,1912,2035,2040,2046,2087],{"type":63,"tag":64,"props":65,"children":67},"element","h2",{"id":66},"what-is-icm-in-poker-the-independent-chip-model-in-2026",[68],{"type":69,"value":70},"text","What Is ICM in Poker? The Independent Chip Model in 2026",{"type":63,"tag":72,"props":73,"children":74},"p",{},[75],{"type":69,"value":76},"Nine players left in a $109 online MTT, eight get paid. You're sitting on the bubble with A♠K♦, a genuinely strong hand, and the big stack to your left jams all-in. You cover him by a hair. Snap-call, right?",{"type":63,"tag":72,"props":78,"children":79},{},[80,82,89],{"type":69,"value":81},"In chips, yes. In real money, calling here can burn more equity than the pot is worth. That gap between \"chips say call\" and \"dollars say fold\" is the whole reason the Independent Chip Model exists, and in 2026 it is still the single most important piece of math in tournament poker. This guide covers what ICM is, how it is actually calculated (with a full worked example whose numbers add up), and when it should change your play. When you want to feel it rather than read it, you can ",{"type":63,"tag":83,"props":84,"children":86},"a",{"href":85},"\u002Fpoker\u002Ficm-trainer",[87],{"type":69,"value":88},"practice ICM spots in our ICM trainer",{"type":69,"value":90},".",{"type":63,"tag":64,"props":92,"children":94},{"id":93},"tldr-icm-in-30-seconds",[95],{"type":69,"value":96},"TL;DR: ICM in 30 Seconds",{"type":63,"tag":72,"props":98,"children":99},{},[100],{"type":69,"value":101},"Chips are not money. ICM is the math that turns your chip stack into its real cash value, by adding up your chance of each finishing place times what that place pays. 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That single assumption, chips equal win probability, is the engine of the whole model.",{"type":63,"tag":72,"props":981,"children":982},{},[983],{"type":69,"value":984},"Second place is where people give up and reach for a calculator. The logic: to finish second, someone else has to win first, and then you have to be the \"winner\" of everyone remaining. Walk through each possible first-place finisher, weight by how often they win, then compute your share of the remaining chips.",{"type":63,"tag":986,"props":987,"children":989},"h4",{"id":988},"following-one-clean-branch",[990],{"type":69,"value":991},"Following one clean branch",{"type":63,"tag":72,"props":993,"children":994},{},[995],{"type":69,"value":996},"Three players: A has 50,000, B has 30,000, C has 20,000. What is A's chance of finishing second?",{"type":63,"tag":72,"props":998,"children":999},{},[1000],{"type":69,"value":1001},"Someone other than A wins first. Two cases:",{"type":63,"tag":1003,"props":1004,"children":1005},"ul",{},[1006,1012],{"type":63,"tag":1007,"props":1008,"children":1009},"li",{},[1010],{"type":69,"value":1011},"B wins first (30% of the time). Now only A and C remain, with 50,000 and 20,000. A wins that pair 50,000 \u002F 70,000 = 71.4% of the time. Contribution: 0.30 × 0.714 = 0.214.",{"type":63,"tag":1007,"props":1013,"children":1014},{},[1015],{"type":69,"value":1016},"C wins first (20% of the time). Now A and B remain, with 50,000 and 30,000. A takes it 50,000 \u002F 80,000 = 62.5% of the time. Contribution: 0.20 × 0.625 = 0.125.",{"type":63,"tag":72,"props":1018,"children":1019},{},[1020],{"type":69,"value":1021},"Add them: A finishes second 0.214 + 0.125 = 34.0% of the time. Third is whatever remains, so A busts first 1 − 0.50 − 0.34 = 16.0% of the time. That is the entire model. Do it for every player and every place and you have priced the table. With five, six, or nine players the branches explode into thousands of paths, which is exactly why a solver earns its keep.",{"type":63,"tag":103,"props":1023,"children":1025},{"id":1024},"chip-ev-vs-icm-equity",[1026],{"type":69,"value":1027},"Chip EV vs ICM equity",{"type":63,"tag":72,"props":1029,"children":1030},{},[1031],{"type":69,"value":1032},"Now put it in dollars. Three players remain, payouts are $500 for first, $300 for second, $200 for third (a $1,000 pool). Apply the finish probabilities above:",{"type":63,"tag":110,"props":1034,"children":1035},{},[1036,1070],{"type":63,"tag":114,"props":1037,"children":1038},{},[1039],{"type":63,"tag":118,"props":1040,"children":1041},{},[1042,1047,1052,1056,1061,1065],{"type":63,"tag":122,"props":1043,"children":1044},{},[1045],{"type":69,"value":1046},"Player",{"type":63,"tag":122,"props":1048,"children":1049},{},[1050],{"type":69,"value":1051},"Chips",{"type":63,"tag":122,"props":1053,"children":1054},{},[1055],{"type":69,"value":261},{"type":63,"tag":122,"props":1057,"children":1058},{},[1059],{"type":69,"value":1060},"Chip-EV value",{"type":63,"tag":122,"props":1062,"children":1063},{},[1064],{"type":69,"value":266},{"type":63,"tag":122,"props":1066,"children":1067},{},[1068],{"type":69,"value":1069},"Difference",{"type":63,"tag":133,"props":1071,"children":1072},{},[1073,1103,1133,1163],{"type":63,"tag":118,"props":1074,"children":1075},{},[1076,1081,1085,1089,1094,1098],{"type":63,"tag":140,"props":1077,"children":1078},{},[1079],{"type":69,"value":1080},"A",{"type":63,"tag":140,"props":1082,"children":1083},{},[1084],{"type":69,"value":328},{"type":63,"tag":140,"props":1086,"children":1087},{},[1088],{"type":69,"value":333},{"type":63,"tag":140,"props":1090,"children":1091},{},[1092],{"type":69,"value":1093},"$500.00",{"type":63,"tag":140,"props":1095,"children":1096},{},[1097],{"type":69,"value":338},{"type":63,"tag":140,"props":1099,"children":1100},{},[1101],{"type":69,"value":1102},"−$116.07",{"type":63,"tag":118,"props":1104,"children":1105},{},[1106,1111,1115,1119,1124,1128],{"type":63,"tag":140,"props":1107,"children":1108},{},[1109],{"type":69,"value":1110},"B",{"type":63,"tag":140,"props":1112,"children":1113},{},[1114],{"type":69,"value":305},{"type":63,"tag":140,"props":1116,"children":1117},{},[1118],{"type":69,"value":310},{"type":63,"tag":140,"props":1120,"children":1121},{},[1122],{"type":69,"value":1123},"$300.00",{"type":63,"tag":140,"props":1125,"children":1126},{},[1127],{"type":69,"value":315},{"type":63,"tag":140,"props":1129,"children":1130},{},[1131],{"type":69,"value":1132},"+$27.50",{"type":63,"tag":118,"props":1134,"children":1135},{},[1136,1141,1145,1149,1154,1158],{"type":63,"tag":140,"props":1137,"children":1138},{},[1139],{"type":69,"value":1140},"C",{"type":63,"tag":140,"props":1142,"children":1143},{},[1144],{"type":69,"value":282},{"type":63,"tag":140,"props":1146,"children":1147},{},[1148],{"type":69,"value":287},{"type":63,"tag":140,"props":1150,"children":1151},{},[1152],{"type":69,"value":1153},"$200.00",{"type":63,"tag":140,"props":1155,"children":1156},{},[1157],{"type":69,"value":292},{"type":63,"tag":140,"props":1159,"children":1160},{},[1161],{"type":69,"value":1162},"+$88.57",{"type":63,"tag":118,"props":1164,"children":1165},{},[1166,1175,1183,1191,1199,1206],{"type":63,"tag":140,"props":1167,"children":1168},{},[1169],{"type":63,"tag":1170,"props":1171,"children":1172},"strong",{},[1173],{"type":69,"value":1174},"Total",{"type":63,"tag":140,"props":1176,"children":1177},{},[1178],{"type":63,"tag":1170,"props":1179,"children":1180},{},[1181],{"type":69,"value":1182},"100,000",{"type":63,"tag":140,"props":1184,"children":1185},{},[1186],{"type":63,"tag":1170,"props":1187,"children":1188},{},[1189],{"type":69,"value":1190},"100%",{"type":63,"tag":140,"props":1192,"children":1193},{},[1194],{"type":63,"tag":1170,"props":1195,"children":1196},{},[1197],{"type":69,"value":1198},"$1,000.00",{"type":63,"tag":140,"props":1200,"children":1201},{},[1202],{"type":63,"tag":1170,"props":1203,"children":1204},{},[1205],{"type":69,"value":1198},{"type":63,"tag":140,"props":1207,"children":1208},{},[1209],{"type":63,"tag":1170,"props":1210,"children":1211},{},[1212],{"type":69,"value":1213},"$0.00",{"type":63,"tag":72,"props":1215,"children":1216},{},[1217],{"type":69,"value":1218},"Both columns total exactly $1,000, which is the sanity check every honest ICM example must pass: dollars in equal dollars out. Nothing is invented.",{"type":63,"tag":986,"props":1220,"children":1222},{"id":1221},"why-the-chip-leader-is-not-worth-their-chip-share",[1223],{"type":69,"value":1224},"Why the chip leader is not worth their chip share",{"type":63,"tag":72,"props":1226,"children":1227},{},[1228],{"type":69,"value":1229},"Player A holds half the chips but only 38% of the money. They gave up $116 of chip-share value simply because they cannot finish better than first, and first is capped at $500. Player C, the short stack, holds 20% of the chips but 29% of the money, because even the last-place payout of $200 is guaranteed value that props up a small stack. This single table is the reason big stacks should apply pressure and short stacks should tighten up, which we get to below.",{"type":63,"tag":64,"props":1231,"children":1233},{"id":1232},"risk-premium-and-bubble-factor",[1234],{"type":69,"value":1235},"Risk Premium and Bubble Factor",{"type":63,"tag":72,"props":1237,"children":1238},{},[1239],{"type":69,"value":1240},"The worked example prices a frozen table. Real decisions are about risking that equity. Two numbers describe the risk: risk premium and bubble factor.",{"type":63,"tag":103,"props":1242,"children":1244},{"id":1243},"the-same-all-in-two-different-answers",[1245],{"type":69,"value":1246},"The same all-in, two different answers",{"type":63,"tag":72,"props":1248,"children":1249},{},[1250],{"type":69,"value":1251},"Four players left in a single-table event, three get paid: $1,000 \u002F $600 \u002F $400 \u002F nothing for fourth. You and the villain both have 40,000 chips; two short stacks sit on 10,000 each. The villain open-jams, you cover exactly, and you have to call for your whole stack. Say your hand is a 55% favorite to win.",{"type":63,"tag":72,"props":1253,"children":1254},{},[1255],{"type":69,"value":1256},"In chips, that is a trivial call. You win 40,000 chips 55% of the time and lose 40,000 chips 45% of the time:",{"type":63,"tag":72,"props":1258,"children":1259},{},[1260],{"type":69,"value":1261},"0.55 × (+40,000) + 0.45 × (−40,000) = +4,000 chips. Positive. Chip EV says call, and chip-EV break-even is just 50%.",{"type":63,"tag":72,"props":1263,"children":1264},{},[1265],{"type":69,"value":1266},"Now price it in dollars with ICM:",{"type":63,"tag":110,"props":1268,"children":1269},{},[1270,1290],{"type":63,"tag":114,"props":1271,"children":1272},{},[1273],{"type":63,"tag":118,"props":1274,"children":1275},{},[1276,1281,1286],{"type":63,"tag":122,"props":1277,"children":1278},{},[1279],{"type":69,"value":1280},"Decision",{"type":63,"tag":122,"props":1282,"children":1283},{},[1284],{"type":69,"value":1285},"In chips",{"type":63,"tag":122,"props":1287,"children":1288},{},[1289],{"type":69,"value":266},{"type":63,"tag":133,"props":1291,"children":1292},{},[1293,1311,1329,1346],{"type":63,"tag":118,"props":1294,"children":1295},{},[1296,1301,1306],{"type":63,"tag":140,"props":1297,"children":1298},{},[1299],{"type":69,"value":1300},"Fold (keep 40,000)",{"type":63,"tag":140,"props":1302,"children":1303},{},[1304],{"type":69,"value":1305},"baseline",{"type":63,"tag":140,"props":1307,"children":1308},{},[1309],{"type":69,"value":1310},"$688.89",{"type":63,"tag":118,"props":1312,"children":1313},{},[1314,1319,1324],{"type":63,"tag":140,"props":1315,"children":1316},{},[1317],{"type":69,"value":1318},"Call and win (go to 80,000)",{"type":63,"tag":140,"props":1320,"children":1321},{},[1322],{"type":69,"value":1323},"+40,000",{"type":63,"tag":140,"props":1325,"children":1326},{},[1327],{"type":69,"value":1328},"$915.56",{"type":63,"tag":118,"props":1330,"children":1331},{},[1332,1337,1342],{"type":63,"tag":140,"props":1333,"children":1334},{},[1335],{"type":69,"value":1336},"Call and lose (bust in 4th)",{"type":63,"tag":140,"props":1338,"children":1339},{},[1340],{"type":69,"value":1341},"−40,000",{"type":63,"tag":140,"props":1343,"children":1344},{},[1345],{"type":69,"value":1213},{"type":63,"tag":118,"props":1347,"children":1348},{},[1349,1354,1359],{"type":63,"tag":140,"props":1350,"children":1351},{},[1352],{"type":69,"value":1353},"Call, weighted at 55% win",{"type":63,"tag":140,"props":1355,"children":1356},{},[1357],{"type":69,"value":1358},"+4,000",{"type":63,"tag":140,"props":1360,"children":1361},{},[1362],{"type":69,"value":1363},"$503.56",{"type":63,"tag":72,"props":1365,"children":1366},{},[1367,1369,1374],{"type":69,"value":1368},"Folding is worth $688.89. Calling as a 55% favorite is worth only 0.55 × $915.56 = $503.56. Folding beats calling by about $185, even though you are a favorite and even though the call prints chips. To make calling break even under ICM you would need roughly $688.89 \u002F $915.56 = 75% equity, not 50%. That 25-point gap between chip break-even and ICM break-even is the risk premium, and it is enormous here because busting on the bubble costs you everything while doubling barely moves your locked-in equity. Want to internalize the feeling? ",{"type":63,"tag":83,"props":1370,"children":1371},{"href":85},[1372],{"type":69,"value":1373},"Run this exact spot in the trainer",{"type":69,"value":1375}," and vary your equity until the call turns green.",{"type":63,"tag":103,"props":1377,"children":1379},{"id":1378},"bubble-factor-by-tournament-stage",[1380],{"type":69,"value":1381},"Bubble factor by tournament stage",{"type":63,"tag":72,"props":1383,"children":1384},{},[1385],{"type":69,"value":1386},"Bubble factor packages that same idea into one multiplier: how much a lost chip costs you versus how much a won chip gains you. In our spot above, folding risks $688.89 of equity to gain only $226.67, a bubble factor near 3.0. The table below gives working ranges by stage. These are heuristic bands consistent with published ICM study from GTO Wizard and others, not hard laws, so treat them as a compass rather than a GPS.",{"type":63,"tag":110,"props":1388,"children":1389},{},[1390,1415],{"type":63,"tag":114,"props":1391,"children":1392},{},[1393],{"type":63,"tag":118,"props":1394,"children":1395},{},[1396,1401,1406,1410],{"type":63,"tag":122,"props":1397,"children":1398},{},[1399],{"type":69,"value":1400},"Stage",{"type":63,"tag":122,"props":1402,"children":1403},{},[1404],{"type":69,"value":1405},"Typical bubble factor",{"type":63,"tag":122,"props":1407,"children":1408},{},[1409],{"type":69,"value":183},{"type":63,"tag":122,"props":1411,"children":1412},{},[1413],{"type":69,"value":1414},"What it means for your range",{"type":63,"tag":133,"props":1416,"children":1417},{},[1418,1441,1464,1487],{"type":63,"tag":118,"props":1419,"children":1420},{},[1421,1426,1431,1436],{"type":63,"tag":140,"props":1422,"children":1423},{},[1424],{"type":69,"value":1425},"Early \u002F deep, flat stacks",{"type":63,"tag":140,"props":1427,"children":1428},{},[1429],{"type":69,"value":1430},"~1.0",{"type":63,"tag":140,"props":1432,"children":1433},{},[1434],{"type":69,"value":1435},"~0%",{"type":63,"tag":140,"props":1437,"children":1438},{},[1439],{"type":69,"value":1440},"Play close to chip EV",{"type":63,"tag":118,"props":1442,"children":1443},{},[1444,1449,1454,1459],{"type":63,"tag":140,"props":1445,"children":1446},{},[1447],{"type":69,"value":1448},"Mid, antes in",{"type":63,"tag":140,"props":1450,"children":1451},{},[1452],{"type":69,"value":1453},"1.1 to 1.3",{"type":63,"tag":140,"props":1455,"children":1456},{},[1457],{"type":69,"value":1458},"3 to 8%",{"type":63,"tag":140,"props":1460,"children":1461},{},[1462],{"type":69,"value":1463},"Slight tightening of calls",{"type":63,"tag":118,"props":1465,"children":1466},{},[1467,1472,1477,1482],{"type":63,"tag":140,"props":1468,"children":1469},{},[1470],{"type":69,"value":1471},"Money bubble",{"type":63,"tag":140,"props":1473,"children":1474},{},[1475],{"type":69,"value":1476},"1.5 to 2.0",{"type":63,"tag":140,"props":1478,"children":1479},{},[1480],{"type":69,"value":1481},"10 to 15%",{"type":63,"tag":140,"props":1483,"children":1484},{},[1485],{"type":69,"value":1486},"Tighten calls a lot, jam relentlessly",{"type":63,"tag":118,"props":1488,"children":1489},{},[1490,1495,1500,1505],{"type":63,"tag":140,"props":1491,"children":1492},{},[1493],{"type":69,"value":1494},"Final table, big pay jumps",{"type":63,"tag":140,"props":1496,"children":1497},{},[1498],{"type":69,"value":1499},"2.0 to 3.5",{"type":63,"tag":140,"props":1501,"children":1502},{},[1503],{"type":69,"value":1504},"15 to 25%",{"type":63,"tag":140,"props":1506,"children":1507},{},[1508],{"type":69,"value":1509},"Tightest calls; short stacks fold most flips",{"type":63,"tag":345,"props":1511,"children":1516},{":data":1512,":labels":1513,"title":1514,"type":1515,"yLabel":170},"[1,1.2,1.8,2.8]","[\"Early \u002F deep\",\"Mid\",\"Money bubble\",\"Final table\"]","Bubble factor climbs as the pay jumps get bigger","bar",[],{"type":63,"tag":72,"props":1518,"children":1519},{},[1520],{"type":69,"value":1521},"The closer you are to a big pay jump, the higher the bar, and the more equity you need before risking your stack. That is the whole of ICM strategy compressed into one chart.",{"type":63,"tag":64,"props":1523,"children":1525},{"id":1524},"how-icm-changes-your-strategy",[1526],{"type":69,"value":1527},"How ICM Changes Your Strategy",{"type":63,"tag":72,"props":1529,"children":1530},{},[1531],{"type":69,"value":1532},"ICM does not change what a good hand is. It changes how much equity you need before you are willing to bet your tournament life on it. The adjustment depends entirely on your stack.",{"type":63,"tag":103,"props":1534,"children":1536},{"id":1535},"adjusting-to-your-stack-size",[1537],{"type":69,"value":1538},"Adjusting to your stack size",{"type":63,"tag":72,"props":1540,"children":1541},{},[1542,1544,1550,1552,1558],{"type":69,"value":1543},"Short stacks live and die on fold equity. Your job is to be the one shoving, not calling, because when you jam you can win the pot uncontested, and when you call you can only realize your raw equity. Push wide, call tight. A medium stack has the worst of it near a bubble: enough to lose by busting, not enough to bully. Medium stacks should avoid marginal spots against anyone who covers them and pick on the true short stacks instead. If your bankroll is not built to ride the swings these spots create, sort that out first with a look at ",{"type":63,"tag":83,"props":1545,"children":1547},{"href":1546},"\u002Fpoker\u002Fbankroll",[1548],{"type":69,"value":1549},"poker bankroll math",{"type":69,"value":1551}," and our ",{"type":63,"tag":83,"props":1553,"children":1555},{"href":1554},"\u002Fblog\u002Fbankroll-management-poker",[1556],{"type":69,"value":1557},"bankroll management guide for poker",{"type":69,"value":90},{"type":63,"tag":72,"props":1560,"children":1561},{},[1562],{"type":69,"value":1563},"The big stack plays the opposite game. The chip leader from our worked table gave up $116 of chip value, and pressure is how they earn it back. When you cover the table, every all-in you make puts the other players' tournament lives at risk, not yours. Open more, three-bet jam more, and attack the medium stacks who cannot call without risking a pay jump. You are effectively taxing everyone else's fear.",{"type":63,"tag":103,"props":1565,"children":1567},{"id":1566},"stack-geometry-watch-the-other-stacks",[1568],{"type":69,"value":1569},"Stack geometry: watch the other stacks",{"type":63,"tag":72,"props":1571,"children":1572},{},[1573,1575,1581],{"type":69,"value":1574},"The most missed ICM skill is looking past your own stack. A call that is fine when the other stacks are even can be a disaster when a shorter stack is about to bust. If two players are on fumes, folding almost anything is correct because someone else may bust for you and lock in a pay jump for free. Who covers whom matters as much as your own cards. ",{"type":63,"tag":83,"props":1576,"children":1578},{"href":1577},"\u002Fpoker\u002Fvariance-simulator",[1579],{"type":69,"value":1580},"Modeling variance across a full tournament",{"type":69,"value":1582}," makes this geometry click faster than any single hand can.",{"type":63,"tag":64,"props":1584,"children":1586},{"id":1585},"when-icm-matters-most",[1587],{"type":69,"value":1588},"When ICM Matters Most",{"type":63,"tag":72,"props":1590,"children":1591},{},[1592],{"type":69,"value":1593},"ICM is not always loud. Sometimes it whispers, and knowing when to listen saves your stack. The two spots where it dominates are the money bubble and the final table.",{"type":63,"tag":72,"props":1595,"children":1596},{},[1597],{"type":69,"value":1598},"On the money bubble, the jump from nothing to a min-cash is the largest percentage jump in the whole tournament, so bubble factors spike and calls tighten to almost nothing. At the final table, every pay jump is large in absolute dollars, so the same logic runs throughout. If you only apply ICM in two places, apply it at these two.",{"type":63,"tag":103,"props":1600,"children":1602},{"id":1601},"final-table-deals-and-chops",[1603],{"type":69,"value":1604},"Final-table deals and chops",{"type":63,"tag":72,"props":1606,"children":1607},{},[1608],{"type":69,"value":1609},"When a final table gets short, players often stop and split the prize pool. ICM is the fair baseline for that split, because it prices each stack in dollars rather than raw chips. A naive chip-chop just divides the pool by chip percentage, and that can shortchange short stacks below their guaranteed money.",{"type":63,"tag":72,"props":1611,"children":1612},{},[1613],{"type":69,"value":1614},"Three players at a final table with $10,000 \u002F $6,000 \u002F $4,000 left to play for, holding 60,000 \u002F 30,000 \u002F 10,000 chips:",{"type":63,"tag":110,"props":1616,"children":1617},{},[1618,1642],{"type":63,"tag":114,"props":1619,"children":1620},{},[1621],{"type":63,"tag":118,"props":1622,"children":1623},{},[1624,1628,1632,1637],{"type":63,"tag":122,"props":1625,"children":1626},{},[1627],{"type":69,"value":1046},{"type":63,"tag":122,"props":1629,"children":1630},{},[1631],{"type":69,"value":1051},{"type":63,"tag":122,"props":1633,"children":1634},{},[1635],{"type":69,"value":1636},"Straight chip-chop",{"type":63,"tag":122,"props":1638,"children":1639},{},[1640],{"type":69,"value":1641},"ICM deal",{"type":63,"tag":133,"props":1643,"children":1644},{},[1645,1667,1688,1710],{"type":63,"tag":118,"props":1646,"children":1647},{},[1648,1652,1657,1662],{"type":63,"tag":140,"props":1649,"children":1650},{},[1651],{"type":69,"value":1080},{"type":63,"tag":140,"props":1653,"children":1654},{},[1655],{"type":69,"value":1656},"60,000",{"type":63,"tag":140,"props":1658,"children":1659},{},[1660],{"type":69,"value":1661},"$12,000",{"type":63,"tag":140,"props":1663,"children":1664},{},[1665],{"type":69,"value":1666},"$8,247.62",{"type":63,"tag":118,"props":1668,"children":1669},{},[1670,1674,1678,1683],{"type":63,"tag":140,"props":1671,"children":1672},{},[1673],{"type":69,"value":1110},{"type":63,"tag":140,"props":1675,"children":1676},{},[1677],{"type":69,"value":305},{"type":63,"tag":140,"props":1679,"children":1680},{},[1681],{"type":69,"value":1682},"$6,000",{"type":63,"tag":140,"props":1684,"children":1685},{},[1686],{"type":69,"value":1687},"$6,766.67",{"type":63,"tag":118,"props":1689,"children":1690},{},[1691,1695,1700,1705],{"type":63,"tag":140,"props":1692,"children":1693},{},[1694],{"type":69,"value":1140},{"type":63,"tag":140,"props":1696,"children":1697},{},[1698],{"type":69,"value":1699},"10,000",{"type":63,"tag":140,"props":1701,"children":1702},{},[1703],{"type":69,"value":1704},"$2,000",{"type":63,"tag":140,"props":1706,"children":1707},{},[1708],{"type":69,"value":1709},"$4,985.71",{"type":63,"tag":118,"props":1711,"children":1712},{},[1713,1720,1727,1735],{"type":63,"tag":140,"props":1714,"children":1715},{},[1716],{"type":63,"tag":1170,"props":1717,"children":1718},{},[1719],{"type":69,"value":1174},{"type":63,"tag":140,"props":1721,"children":1722},{},[1723],{"type":63,"tag":1170,"props":1724,"children":1725},{},[1726],{"type":69,"value":1182},{"type":63,"tag":140,"props":1728,"children":1729},{},[1730],{"type":63,"tag":1170,"props":1731,"children":1732},{},[1733],{"type":69,"value":1734},"$20,000",{"type":63,"tag":140,"props":1736,"children":1737},{},[1738],{"type":63,"tag":1170,"props":1739,"children":1740},{},[1741],{"type":69,"value":1734},{"type":63,"tag":72,"props":1743,"children":1744},{},[1745,1747,1753],{"type":69,"value":1746},"The straight chip-chop pays the short stack only $2,000, which is below the $4,000 that third place already guarantees. No rational player accepts that. ICM correctly pays player C almost $5,000, because their locked-up minimum is worth real money. If you are ever offered a deal, price it against ICM before you agree. If you play staked, run the split through the ",{"type":63,"tag":83,"props":1748,"children":1750},{"href":1749},"\u002Fpoker\u002Fstaking-calculator",[1751],{"type":69,"value":1752},"staking and markup calculator",{"type":69,"value":1754}," so your backer's share is right.",{"type":63,"tag":103,"props":1756,"children":1758},{"id":1757},"satellites-where-icm-is-extreme",[1759],{"type":69,"value":1760},"Satellites, where ICM is extreme",{"type":63,"tag":72,"props":1762,"children":1763},{},[1764,1766,1772],{"type":69,"value":1765},"Satellites are ICM turned up to maximum. Every seat pays exactly the same, so the moment you have enough chips to lock a seat, one more chip is worth almost nothing and busting costs you everything. Correct satellite play looks insane to a cash player: folding aces preflop can be right when you are already in, which inverts the usual ",{"type":63,"tag":83,"props":1767,"children":1769},{"href":1768},"\u002Fblog\u002Fpoker-hand-ranges-preflop-charts",[1770],{"type":69,"value":1771},"preflop range charts by position",{"type":69,"value":1773},". That is not a myth, it is ICM at its logical extreme.",{"type":63,"tag":103,"props":1775,"children":1777},{"id":1776},"when-icm-barely-moves",[1778],{"type":69,"value":1779},"When ICM barely moves",{"type":63,"tag":72,"props":1781,"children":1782},{},[1783],{"type":69,"value":1784},"Deep in a tournament with 200 players left and everyone holding similar stacks, ICM and chip EV are nearly identical. Pay jumps are tiny and far away, so a chip is close to a chip. Play a near chip-EV game here and save the tight ICM folds for when the ladder gets steep. Applying bubble-factor tightness 300 players from the money just bleeds chips you will need later.",{"type":63,"tag":64,"props":1786,"children":1788},{"id":1787},"common-icm-mistakes",[1789],{"type":69,"value":1790},"Common ICM Mistakes",{"type":63,"tag":72,"props":1792,"children":1793},{},[1794],{"type":69,"value":1795},"Almost nobody covers these well, and they cost real money. Here are the three that show up most often, on the felt and in staked players' hand histories.",{"type":63,"tag":103,"props":1797,"children":1799},{"id":1798},"calling-off-too-wide-near-a-pay-jump",[1800],{"type":69,"value":1801},"Calling off too wide near a pay jump",{"type":63,"tag":72,"props":1803,"children":1804},{},[1805],{"type":69,"value":1806},"The number-one leak. Players see a 55% or 60% favorite and call on instinct, exactly like our worked spot where 55% was a clear fold. Under a bubble factor of 2 or 3, being ahead is not enough. You need to be a big favorite, often 70% or more, before a stack-off is correct. When in doubt near the money, fold and let someone else bust.",{"type":63,"tag":103,"props":1808,"children":1810},{"id":1809},"ignoring-who-covers-whom",[1811],{"type":69,"value":1812},"Ignoring who covers whom",{"type":63,"tag":72,"props":1814,"children":1815},{},[1816],{"type":69,"value":1817},"The second leak is tunnel vision on your own hand. Whether the player jamming into you covers you, or you cover them, can completely flip the decision, because only the player at risk of busting pays the ICM tax. Always ask who dies if this goes wrong before you commit chips.",{"type":63,"tag":103,"props":1819,"children":1821},{"id":1820},"treating-icm-as-gospel",[1822],{"type":69,"value":1823},"Treating ICM as gospel",{"type":63,"tag":72,"props":1825,"children":1826},{},[1827],{"type":69,"value":1828},"The opposite error is trusting ICM blindly. It assumes everyone plays equally well and ignores your future edge, position, and blind pressure. A strong player with a clear skill edge should deviate to keep chips in play for spots where that edge compounds. The equity you leave on the table by folding a thin edge can be worth it if you expect to out-play the field later.",{"type":63,"tag":986,"props":1830,"children":1832},{"id":1831},"fgs-and-dcm-models-that-go-further",[1833],{"type":69,"value":1834},"FGS and DCM: models that go further",{"type":63,"tag":72,"props":1836,"children":1837},{},[1838],{"type":69,"value":1839},"ICM is a snapshot. It ignores that blinds keep rising and that play continues. Future Game Simulation (FGS) and the Dependent Chip Model (DCM) try to fix this by looking a few hands ahead. They are more accurate near the money and more expensive to compute. For 99% of decisions, plain ICM plus judgment is enough, and it is what every solver you will actually use is built on. One more caveat: in PKO or bounty formats the math shifts, because part of every stack is a cash bounty you collect the instant you knock someone out, so a covered player is worth more than pure ICM says.",{"type":63,"tag":64,"props":1841,"children":1843},{"id":1842},"practice-tools-and-the-history-of-icm",[1844],{"type":69,"value":1845},"Practice, Tools, and the History of ICM",{"type":63,"tag":72,"props":1847,"children":1848},{},[1849],{"type":69,"value":1850},"Reading about ICM builds intuition slowly. Drilling real spots builds it fast, because the numbers stop being abstract the moment one costs you a buy-in.",{"type":63,"tag":103,"props":1852,"children":1854},{"id":1853},"train-real-icm-spots",[1855],{"type":69,"value":1856},"Train real ICM spots",{"type":63,"tag":72,"props":1858,"children":1859},{},[1860,1862,1867,1869,1875,1877,1883,1885,1891,1893,1899],{"type":69,"value":1861},"The fastest way to internalize any of this is to run spots until the right fold feels obvious. ",{"type":63,"tag":83,"props":1863,"children":1864},{"href":85},[1865],{"type":69,"value":1866},"Train final-table ICM decisions",{"type":69,"value":1868}," with real stacks and payouts, then check your calling ranges against ",{"type":63,"tag":83,"props":1870,"children":1872},{"href":1871},"\u002Fpoker\u002Fequity-calculator",[1873],{"type":69,"value":1874},"hand equity",{"type":69,"value":1876}," so you know exactly how often you are ahead. Pair that with an honest look at your ",{"type":63,"tag":83,"props":1878,"children":1880},{"href":1879},"\u002Fblog\u002Fbankroll-risk-of-ruin-guide",[1881],{"type":69,"value":1882},"risk of ruin",{"type":69,"value":1884}," and ",{"type":63,"tag":83,"props":1886,"children":1888},{"href":1887},"\u002Fblog\u002Fhow-to-calculate-bankroll-units",[1889],{"type":69,"value":1890},"how many buy-ins you actually need",{"type":69,"value":1892},", because ICM discipline only pays off if your bankroll survives long enough to compound it. And if you cash a final table, remember the taxman: our ",{"type":63,"tag":83,"props":1894,"children":1896},{"href":1895},"\u002Fpoker\u002Ftax-calculator",[1897],{"type":69,"value":1898},"poker tax calculator",{"type":69,"value":1900}," handles the part nobody wants to think about.",{"type":63,"tag":103,"props":1902,"children":1904},{"id":1903},"icm-software-compared-2026",[1905],{"type":69,"value":1906},"ICM software compared (2026)",{"type":63,"tag":72,"props":1908,"children":1909},{},[1910],{"type":69,"value":1911},"You do not have to compute this by hand. Several tools do it for you, each with a different sweet spot.",{"type":63,"tag":110,"props":1913,"children":1914},{},[1915,1941],{"type":63,"tag":114,"props":1916,"children":1917},{},[1918],{"type":63,"tag":118,"props":1919,"children":1920},{},[1921,1926,1931,1936],{"type":63,"tag":122,"props":1922,"children":1923},{},[1924],{"type":69,"value":1925},"Tool",{"type":63,"tag":122,"props":1927,"children":1928},{},[1929],{"type":69,"value":1930},"Best for",{"type":63,"tag":122,"props":1932,"children":1933},{},[1934],{"type":69,"value":1935},"Free \u002F paid",{"type":63,"tag":122,"props":1937,"children":1938},{},[1939],{"type":69,"value":1940},"Solves",{"type":63,"tag":133,"props":1942,"children":1943},{},[1944,1967,1990,2012],{"type":63,"tag":118,"props":1945,"children":1946},{},[1947,1952,1957,1962],{"type":63,"tag":140,"props":1948,"children":1949},{},[1950],{"type":69,"value":1951},"ICMIZER",{"type":63,"tag":140,"props":1953,"children":1954},{},[1955],{"type":69,"value":1956},"Push\u002Ffold Nash ranges",{"type":63,"tag":140,"props":1958,"children":1959},{},[1960],{"type":69,"value":1961},"Freemium",{"type":63,"tag":140,"props":1963,"children":1964},{},[1965],{"type":69,"value":1966},"Ranges, deals",{"type":63,"tag":118,"props":1968,"children":1969},{},[1970,1975,1980,1985],{"type":63,"tag":140,"props":1971,"children":1972},{},[1973],{"type":69,"value":1974},"Holdem Resources Calculator",{"type":63,"tag":140,"props":1976,"children":1977},{},[1978],{"type":69,"value":1979},"Deep multi-way solving",{"type":63,"tag":140,"props":1981,"children":1982},{},[1983],{"type":69,"value":1984},"Paid",{"type":63,"tag":140,"props":1986,"children":1987},{},[1988],{"type":69,"value":1989},"Ranges, full solves",{"type":63,"tag":118,"props":1991,"children":1992},{},[1993,1998,2003,2007],{"type":63,"tag":140,"props":1994,"children":1995},{},[1996],{"type":69,"value":1997},"GTO Wizard",{"type":63,"tag":140,"props":1999,"children":2000},{},[2001],{"type":69,"value":2002},"Study and ICM sims",{"type":63,"tag":140,"props":2004,"children":2005},{},[2006],{"type":69,"value":1984},{"type":63,"tag":140,"props":2008,"children":2009},{},[2010],{"type":69,"value":2011},"Ranges, spots",{"type":63,"tag":118,"props":2013,"children":2014},{},[2015,2020,2025,2030],{"type":63,"tag":140,"props":2016,"children":2017},{},[2018],{"type":69,"value":2019},"ToolsGambling ICM Trainer",{"type":63,"tag":140,"props":2021,"children":2022},{},[2023],{"type":69,"value":2024},"Fast practice and learning",{"type":63,"tag":140,"props":2026,"children":2027},{},[2028],{"type":69,"value":2029},"Free",{"type":63,"tag":140,"props":2031,"children":2032},{},[2033],{"type":69,"value":2034},"Bubble and final-table spots, deals",{"type":63,"tag":72,"props":2036,"children":2037},{},[2038],{"type":69,"value":2039},"If you are learning, start free and drill spots. If you are a grinding professional, a paid solver pays for itself in one avoided bubble punt.",{"type":63,"tag":103,"props":2041,"children":2043},{"id":2042},"where-icm-came-from",[2044],{"type":69,"value":2045},"Where ICM came from",{"type":63,"tag":72,"props":2047,"children":2048},{},[2049,2051,2059,2061,2068,2069,2076,2078,2085],{"type":69,"value":2050},"The math predates poker. Statistician David Harville published the finish-order probability formula in 1973 for horse racing, ranking runners by ability rather than chips. Mason Malmuth adapted the idea to poker tournaments in 1987, and the poker community named it the Independent Chip Model. The word \"independent\" is a warning label: the model assumes each chip finishes independently of skill, position, or who is sitting where. It is not perfect, and it was never meant to be. It is the best simple answer to a genuinely hard question, which is why it has shaped tournament strategy for nearly forty years. For the formal derivation, the ",{"type":63,"tag":83,"props":2052,"children":2056},{"href":2053,"rel":2054},"https:\u002F\u002Fen.wikipedia.org\u002Fwiki\u002FIndependent_Chip_Model",[2055],"nofollow",[2057],{"type":69,"value":2058},"Wikipedia entry on the Independent Chip Model",{"type":69,"value":2060}," has the Harville formulas; ",{"type":63,"tag":83,"props":2062,"children":2065},{"href":2063,"rel":2064},"https:\u002F\u002Fwww.pokernews.com\u002Fpokerterms\u002Ficm.htm",[2055],[2066],{"type":69,"value":2067},"PokerNews",{"type":69,"value":1884},{"type":63,"tag":83,"props":2070,"children":2073},{"href":2071,"rel":2072},"https:\u002F\u002Fblog.gtowizard.com\u002Ficm-basics\u002F",[2055],[2074],{"type":69,"value":2075},"GTO Wizard's ICM Basics",{"type":69,"value":2077}," cover the strategy side, and Harville's original 1973 paper in the ",{"type":63,"tag":83,"props":2079,"children":2082},{"href":2080,"rel":2081},"https:\u002F\u002Fwww.tandfonline.com\u002Fdoi\u002Fabs\u002F10.1080\u002F01621459.1973.10482425",[2055],[2083],{"type":69,"value":2084},"Journal of the American Statistical Association",{"type":69,"value":2086}," is where the whole thing started.",{"type":63,"tag":72,"props":2088,"children":2089},{},[2090,2092,2098],{"type":69,"value":2091},"The chip in front of you is not a dollar. Once you can price it the way ICM does, the folds that used to feel weak start to feel like free money, and the calls that felt brave start to look like the leaks they always were. If chip-dumping or soft-play at a final table ever comes up, that is a separate integrity problem covered in our ",{"type":63,"tag":83,"props":2093,"children":2095},{"href":2094},"\u002Fblog\u002Fchip-dumping-poker",[2096],{"type":69,"value":2097},"chip dumping guide",{"type":69,"value":2099},". ICM is about honest math on an honest table."]