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ICPP
2009
IEEE
13 years 12 months ago
Computing Equilibria in Bimatrix Games by Parallel Vertex Enumeration
—Equilibria computation is of great importance to many areas such as economics, control theory, and recently computer science. We focus on the computation of Nash equilibria in t...
Jonathan Widger, Daniel Grosu
CORR
2010
Springer
164views Education» more  CORR 2010»
13 years 3 months ago
Approximate Nash Equilibria under Stability Conditions
Finding approximate Nash equilibria in n × n bimatrix games is currently one of the main open problems in algorithmic game theory. Motivated in part by the lack of progress on wo...
Maria-Florina Balcan, Mark Braverman
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...
MFCS
2007
Springer
13 years 11 months ago
Well Supported Approximate Equilibria in Bimatrix Games: A Graph Theoretic Approach
Abstract. We study the existence and tractability of a notion of approximate equilibria in bimatrix games, called well supported approximate Nash Equilibria (SuppNE in short). We p...
Spyros C. Kontogiannis, Paul G. Spirakis