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» Equilibrium Tracing in Bimatrix Games
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ECCC
2006
71views more  ECCC 2006»
13 years 5 months ago
Polynomial Algorithms for Approximating Nash Equilibria of Bimatrix Games
We focus on the problem of computing an -Nash equilibrium of a bimatrix game, when is an absolute constant. We present a simple algorithm for computing a 3 4 -Nash equilibrium for ...
Spyros C. Kontogiannis, Panagiota N. Panagopoulou,...
TCS
2008
13 years 5 months ago
The complexity of uniform Nash equilibria and related regular subgraph problems
We investigate the complexity of finding Nash equilibria in which the strategy of each player is uniform on its support set. We show that, even for a restricted class of win-lose ...
Vincenzo Bonifaci, Ugo Di Iorio, Luigi Laura
ATAL
2006
Springer
13 years 9 months ago
A technique for reducing normal-form games to compute a Nash equilibrium
We present a technique for reducing a normal-form (aka. (bi)matrix) game, O, to a smaller normal-form game, R, for the purpose of computing a Nash equilibrium. This is done by com...
Vincent Conitzer, Tuomas Sandholm
CORR
2007
Springer
135views Education» more  CORR 2007»
13 years 5 months ago
Settling the Complexity of Computing Two-Player Nash Equilibria
We prove that Bimatrix, the problem of finding a Nash equilibrium in a two-player game, is complete for the complexity class PPAD (Polynomial Parity Argument, Directed version)
Xi Chen, Xiaotie Deng, Shang-Hua Teng
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...