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ICTAI
2006
IEEE
13 years 11 months ago
Computing the Equilibria of Bimatrix Games Using Dominance Heuristics
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 structure...
Raghav Aras, Alain Dutech, François Charpil...
ISPDC
2008
IEEE
13 years 11 months ago
Computing Equilibria in Bimatrix Games by Parallel Support Enumeration
We consider the problem of computing all Nash equilibria in bimatrix games (i.e., nonzero-sum two-player noncooperative games). Computing all Nash equilibria for large bimatrix ga...
Jonathan Widger, Daniel Grosu
APPROX
2010
Springer
207views Algorithms» more  APPROX 2010»
13 years 6 months ago
Exploiting Concavity in Bimatrix Games: New Polynomially Tractable Subclasses
Abstract. We study the fundamental problem of computing an arbitrary Nash equilibrium in bimatrix games. We start by proposing a novel characterization of the set of Nash equilibri...
Spyros C. Kontogiannis, Paul G. Spirakis
WINE
2007
Springer
161views Economy» more  WINE 2007»
13 years 11 months ago
New Algorithms for Approximate Nash Equilibria in Bimatrix Games
Abstract. We consider the problem of computing additively approximate Nash equilibria in non-cooperative two-player games. We provide a new polynomial time algorithm that achieves ...
Hartwig Bosse, Jaroslaw Byrka, Evangelos Markakis
SAGT
2010
Springer
160views Game Theory» more  SAGT 2010»
13 years 3 months ago
How Do You Like Your Equilibrium Selection Problems? Hard, or Very Hard?
The PPAD-completeness of Nash equilibrium computation is taken as evidence that the problem is computationally hard in the worst case. This evidence is necessarily rather weak, in ...
Paul W. Goldberg