Nash Equilibrium A strategy combination (a,b) is a Nash equilibrium for two players if neither player would unilaterally deviate if he expected the other.

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Presentation transcript:

Nash Equilibrium A strategy combination (a,b) is a Nash equilibrium for two players if neither player would unilaterally deviate if he expected the other player to choose according to (a,b). A strategy combination (a,b,c,…) is a Nash equilibrium for N players if no player would unilaterally deviate if he expected the other (N-1) players to choose according to (a,b,c,…).

The Ranked Coordination Game BRYDOX Large Small 1,1 -1,-1 Large APEX Small -1,-1 2,2

The Battle of the Sexes WOMAN Ballet Fight 10,20 -10,-10 Ballet MAN 20,10