WOLFRAM|DEMONSTRATIONS PROJECT

Set of Nash Equilibria in 2x2 Mixed Extended Games

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elements of payoff matrix A
a
11
-5
a
12
-3
a
21
-1
a
22
-4
elements of payoff matrix B
b
11
-5
b
12
-3
b
21
-1
b
22
-4
payoff matrices A and B
1
2
1
-5 , -5
-3 , -3
2
-1 , -1
-4 , -4
Consider a bimatrix (
2×2
) mixed extended game. The set of Nash equilibria (red) in a particular game is determined as the intersection of the graphs of best response mappings of the blue and green players; its vertices are given at the bottom.