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ICTAI
2006
IEEE
14 years 1 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
14 years 1 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 9 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»
14 years 1 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 5 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