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Game Theory Analysis

CRASH

Crash

House Edge 0.10% · Rakeback up to 100% (Only at Duel)

Gamdom 1.00% · Rakeback up to 100% (up to 5k)

Stake / Rainbet / Shuffle 1%

The concept is simple: a multiplier climbs from 1x upward, and you cash out before it crashes. Wait too long and you lose everything. It's provably random, but when you pull out is entirely your call. Every round is a test of greed versus discipline.

Crash quick sim

Pick an attempted cashout multiplier and house edge. Results are per 1 unit wagered.

EV -0.001

House Edge

0.10%

STD

0.999999

P(win)

49.95%

Win Multiplier

2.00x

Where to Play Crash

Best current value by provider.

Duel

0.10% edge

100% rakeback

Up to 50k daily

Gamdom

1.00% edge

100% rakeback

Up to 5k daily

Stake / Shuffle

1.00% edge

Flat pricing

No meaningful rakeback edge

OVERVIEW

Crash is a multiplier game where the round starts at 1.00x and rises until a random crash event ends it.

SETUP

  • Choose your bet amount.
  • Choose your auto cashout target C (for example, 2.00x).

ROUND FLOW

  • The multiplier increases continuously from 1.00x upward.
  • If the round crashes before reaching your target, the bet loses.
  • If the multiplier reaches your target before crash, the round cashes out and you win.

PAYOUT LOGIC

Your target controls hit rate and payout tradeoff:

  • Lower target -> higher hit rate -> lower win size.
  • Higher target -> lower hit rate -> higher win size.

GAME MATH

Crash can be modeled using a fixed auto cashout target.

PARAMETERS

SymbolMeaning
Cauto cashout target multiplier (> 1)
EDGE0.001 for Duel, 0.01 for Stake

PROBABILITY OF WINNING AT TARGET C

Pwin=(1 - EDGE)C

NET RESULT PER ROUND

If the round reaches target C, net win is (C - 1) * bet_size.

If the round crashes before C, net result is -bet_size.

EXPECTED VALUE

EV=Pwin * (C - 1) + (1 - Pwin) * (-1)
EV=Pwin * C - 1

Substituting the probability formula gives:

EV=(1 - EDGE) - 1
EV=-EDGE

This means the player's expected return per round is:

Return=1 - EDGE

PROVIDER COMPARISON

ProviderBase RTPBase House EdgeEffective House Edge @ 100% Rakeback
Duel99.9%0.10%0.00%
Stake99.0%1.00%1.00% (if rakeback is 0%)

RAKEBACK ADJUSTMENT

If rakeback returns a fraction r of house edge, effective edge is:

EDGEeffective=EDGEbase * (1 - r)

With Duel's 100% rakeback (r = 1), modeled effective edge is 0%.

You can test any auto cashout from 1.01x to 1,000,000x in the simulator below.

VOLATILITY / STD

Each auto-cashout target creates a binary outcome (hit target or lose bet):

Var=Pwin * (WinNet - EV)^2 + (1 - Pwin) * (LoseNet - EV)^2
SD=sqrt(Var)

At 2.00x with Duel edge 0.10%:

SD ~=1.0000

At 10.00x with Duel edge 0.10%:

SD ~=2.9987

At 50.00x with Duel edge 0.10%:

SD ~=6.9966

Higher auto-cashout targets increase SD quickly.

TEST STRATEGIES

You can test strategies here in the strategy tool.

WARNING

Strategies are methods of shaping your risk and payout profile, not ways to beat the house.

They can be used to:

  • Smooth variance and generate more frequent, smaller wins.
  • Increase variance to chase larger, less frequent payouts.

This means each wager has a negative expected value, or neutral when playing zero-edge, and changing bet sizes or betting patterns won't change that.

MARTINGALE STRATEGY

Increase bet size after losses (typically doubling) to recover all previous losses plus a fixed profit. This works extremely well until it doesn't and all of your bankroll is gone.

Bet size sequence: b, 2b, 4b, 8b, ...

Stop when a win occurs, then reset to base bet.

Martingale — Distribution Effect

  • Very high win frequency.
  • Many small profits.
  • Rare but extreme losses (one big loss can drain your bankroll).

PAROLI (INVERSE MARTINGALE)

Bet sequence after wins: b, 2b, 4b, ...

Reset to base bet after a loss.

Paroli — Distribution Effect

  • Lower win frequency.
  • Many small losses.
  • Occasional large wins.

First Casino

Live Economics

House edge: 0.100%

House Edge after Rakeback: 0.000%

STD: 1.00

Max Possible Win: 1.00x

Second Casino

Live Economics

House edge: 1.000%

House Edge after Rakeback: 1.000%

STD: 1.00

Max Possible Win: 1.00x

Shared Session

Run SnapshotDuel (Crash) vs Stake (Crash)