Set of Nash Equilibria in 2x3 Mixed Extended Games

elements of payoff matrix A

a

11

-5

a

12

-3

a

13

-3

a

21

-1

a

22

-4

a

23

-3

elements of payoff matrix B

b

11

-5

b

12

-3

b

13

-5

b

21

-1

b

22

-4

b

23

-4

op

1

0.23

op

2

0.56

Consider a 2×3 matrix for a mixed extended game. The set of Nash equilibria (red) in a particular game is determined by the intersection of the graphs of best response mappings of the blue and green players.

Sliders define the elements of the 2×3 matrices,

A

and

B

, and the opacity of the players' graphs. First mixed strategies of the players are used for the graphical representation of the set of Nash equilibria.