Game Theory & Decision

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Mixed Strategy (Indifference)

Probability that makes an opponent indifferent between their options.

Formula

p = \frac{d - c}{(a-b)+(d-c)}

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Variables

pMixing probability

a,b,c,dPayoff matrix entries

Example

In matching pennies the equilibrium is to play 50/50.

Did You Know?

John Nash proved every finite game has at least one equilibrium — the result that won him a Nobel Prize.

game theory nash mixed strategy

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