Conclude that an equilibrium strategy must be completely mixed.

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July 10, 2019
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July 10, 2019

Conclude that an equilibrium strategy must be completely mixed.

Mixed Strategy Nash Equilibrium. Find the unique, mixed strategy equilibrium, of the Rock Paper Scissor game: Bob R P S R 0; 0 1; 1 1; 1 Ann P 1; 1 0; 0 1; 1 S 1; 1 1; 1 0; 0 (a) First show that there cannot be an equilibrium strategy which only involves one or two strategies for any one player. Conclude that an equilibrium strategy must be completely mixed. (b) Then solve for the mixed strategy equilibrium algebraically.


 

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