Geodesic
A Polynomial Time Algorithm for Finding Nash Equilibria in Planar Win-Lose Games
Journal of Graph Algorithms and Applications, Tome 11 (2007) no. 1, pp. 309-319.

Voir la notice de l'article provenant de la source Journal of Graph Algorythms and Applications website

Two-player win-lose games have a simple directed graph representation. Exploiting this, we develop graph theoretic techniques for finding Nash equilibria in such games. In particular, we give a polynomial time algorithm for finding a Nash equilibrium in a two-player win-lose game whose graph representation is planar. 
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     author = {Louigi Addario-Berry and Neil Olver and Adrian Vetta},
     title = {A {Polynomial} {Time} {Algorithm} for {Finding} {Nash} {Equilibria} in {Planar} {Win-Lose} {Games}},
     journal = {Journal of Graph Algorithms and Applications},
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Louigi Addario-Berry; Neil Olver; Adrian Vetta. A Polynomial Time Algorithm for Finding Nash Equilibria in Planar Win-Lose Games. Journal of Graph Algorithms and Applications, Tome 11 (2007) no. 1, pp. 309-319. doi : 10.7155/jgaa.00147. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00147/

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