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Set of Nash Equilibria in 2x2 Mixed Extended Games

Consider a bimatrix (

) 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.

Contributed by: Valeriu Ungureanu

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(207 lines omitted)

Sliders define the elements of the 2×2 matrix. First, mixed strategies of both the players

and

) are used for the graphic representation of the set of Nash equilibria. The values of the second strategy of the players are simply

and

Nash Equilibrium (Wolfram MathWorld)

"Set of Nash Equilibria in 2x2 Mixed Extended Games" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SetOfNashEquilibriaIn2x2MixedExtendedGames/

Contributed by: Valeriu Ungureanu

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