Title
Approximate well-supported nash equilibria below two-thirds
Abstract
In an ε-Nash equilibrium, a player can gain at most ε by changing his behaviour. Recent work has addressed the question of how best to compute ε-Nash equilibria, and for what values of ε a polynomial-time algorithm exists. An ε-well-supported Nash equilibrium (ε-WSNE) has the additional requirement that any strategy that is used with non-zero probability by a player must have payoff at most ε less than a best response. A recent algorithm of Kontogiannis and Spirakis shows how to compute a 2/3-WSNE in polynomial time, for bimatrix games. Here we introduce a new technique that leads to an improvement to the worst-case approximation guarantee.
Year
DOI
Venue
2012
10.1007/978-3-642-33996-7_10
algorithmic game theory
Keywords
DocType
Volume
Bimatrix games,Nash equilibria,Well-supported approximate equilibria
Conference
abs/1204.0707
Issue
ISSN
Citations 
2
0178-4617
15
PageRank 
References 
Authors
0.88
11
5
Name
Order
Citations
PageRank
John Fearnley113417.49
Paul W. Goldberg275998.26
Rahul Savani324330.09
Troels Bjerre Sørensen418118.08
SØrensenTroels Bjerre5150.88