Show which of the following simultaneous strategic choices for Players A & B tha

Question

Show which of the following simultaneous strategic choices for Players A & B that represent a Nash equilibrium. The entries represent payoffs (A,B). Player B A B C D E Player A V (12,7) (13,6) (9,3) (-5,6) (-9,5) W (9,9) (14,10) (8,7) (-1,3) (-4,11) X (10,3) (22,5) (6,4) (4,-9) (-7,2) Y (8,5) (19,6) (11,7) (7,8) (-12,6) Z (6,4) (15,5) (12,9) (6,8) (-6,7) Show which of the following simultaneous strategic choices for Players A & B that represent a Nash equilibrium. The entries represent payoffs (A,B). Player B A B C D E Player A V (12,7) (13,6) (9,3) (-5,6) (-9,5) W (9,9) (14,10) (8,7) (-1,3) (-4,11) X (10,3) (22,5) (6,4) (4,-9) (-7,2) Y (8,5) (19,6) (11,7) (7,8) (-12,6) Z (6,4) (15,5) (12,9) (6,8) (-6,7)

Explanation / Answer

There are 5 pure strategy Nash equilibria for this game and these are given by (V,A),(X,B),(Z,C),(Y,D) and (W,E) with payoffs of (12,7),(22,5),(12,9),(7,8) and (-4,11) respectively.

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