Set of Nash Equilibria in 2x2x2 Mixed Extended Games

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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



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 .


[1] M. Sagaidac and V. Ungureanu, Operations Research, Chi┼činău: 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.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.