Computing the Equilibria of Bimatrix Games using Dominance HeuristicsReportar como inadecuado




Computing the Equilibria of Bimatrix Games using Dominance Heuristics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 MAIA - Autonomous intelligent machine INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications

Abstract : We propose a formulation of a general-sum bimatrix game as a bipartite directed graph with the objective of establishing a correspondence between the set of the relevant structures of the graph in particular elementary cycles and the set of the Nash equilibria of the game. We show that finding the set of elementary cycles of the graph permits the computation of the set of equilibria. For games whose graphs have a sparse adjacency matrix, this serves as a good heuristic for computing the set of equilibria. The heuristic also allows the discarding of sections of the support space that do not yield any equilibrium, thus serving as a useful pre-processing step for algorithms that compute the equilibria through support enumeration.

Keywords : Game Theory Nash Equilibrium Support Enumeration





Autor: Raghav Aras - Alain Dutech - François Charpillet -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados