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DCG
1999
93views more  DCG 1999»
13 years 4 months ago
New Maximal Numbers of Equilibria in Bimatrix Games
This paper presents a new lower bound of 2:414d= p d on the maximal number of Nash equilibria in d d bimatrix games, a central concept in game theory. The proof uses an equivalent ...
Bernhard von Stengel
ICALP
2007
Springer
13 years 9 months ago
Efficient Algorithms for Constant Well Supported Approximate Equilibria in Bimatrix Games
Abstract. In this work we study the tractability of well supported approximate Nash Equilibria (SuppNE in short) in bimatrix games. In view of the apparent intractability of constr...
Spyros C. Kontogiannis, Paul G. Spirakis
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
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,...