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Correlated equilibrium - Wikipedia

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In game theory, a correlated equilibrium is a solution concept that is more general than the well known Nash equilibrium. It was first discussed by mathematician Robert Aumann in 1974.[1][2] The idea is that each player chooses their action according to their private observation of the value of the same public signal. A strategy assigns an action to every possible observation a player can make. If no player would want to deviate from their strategy (assuming the others also don't deviate), the distribution from which the signals are drawn is called a correlated equilibrium. An 𝑁 -player strategic game ( 𝑁 , { 𝐴 𝑖 } , { 𝑢 𝑖 } ) is characterized by an action set 𝐴 𝑖 and utility function 𝑢 𝑖 for each player 𝑖 . When player 𝑖 chooses strategy 𝑎 𝑖 ∈ 𝐴 𝑖 and the remaining players choose a strategy profile described by the 𝑁 − 1 -tuple 𝑎 − 𝑖 , then player 𝑖 's utility is 𝑢 𝑖 ( 𝑎 𝑖 , 𝑎 − 𝑖 ) . A strategy modification for player 𝑖 is a function 𝜙 �

Correlated equilibrium - Wikipedia Jump to content From Wikipedia, the free encyclopedia Game theory solution Correlated equilibrium Solution concept in game theory Relationship Superset of Nash equilibrium Significance Proposed by Robert Aumann Example Chicken In game theory , a correlated equilibrium is a solution concept that is more general than the well known Nash equilibrium . It was first discussed by mathematician Robert Aumann in 1974. [ 1 ] [ 2 ] The idea is that each player chooses their action according to their private observation of the value of the same public signal. A strategy

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