Brendan Ang

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Game Theory

Last updated Nov 8, 2022 Edit Source

# Game Theory

Any game with a finite number of actions will have a Nash Equilibrium

Pure Strategy set: a Nash equilibrium pure strategy exists if there are states which no party can gain a higher utility by choosing a separate action given that the other parties adhere to their current action.

Mixed Strategy set: when there is no pure strategy, an equilibrium must exist in mixed strategies. It is a probability distribution over 2 or more pure strategies.