# Set of Nash Equilibria in 2x2x2 Mixed Extended Games

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Consider a 2×2×2 three-dimensional 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 yellow, blue, and green players.

Contributed by: Valeriu Ungureanu and Igor Mandric (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Sliders define the elements of the 2×2×2 matrices: A, B, and C, and the opacity of the players' graphs. First mixed strategies of the players , , and ) are used for the graphical representation of the set of Nash equilibria. The value of the second strategy of every player is simply , , and .

References:

[1] M. Sagaidac and V. Ungureanu, *Operations Research*, Chişinău: CEP USM, 2004 (in Romanian).

[2] V. Ungureanu, "Nash Equilibria Set Computing in Finite Extended Games," *Computer Science Journal of Moldova,* 14-3(42), 2005 pp. 345–365.

## Permanent Citation

"Set of Nash Equilibria in 2x2x2 Mixed Extended Games"

http://demonstrations.wolfram.com/SetOfNashEquilibriaIn2x2x2MixedExtendedGames/

Wolfram Demonstrations Project

Published: March 7 2011