Title
A Manifold of Polynomial Time Solvable Bimatrix Games.
Abstract
This paper identifies a manifold in the space of bimatrix games which contains games that are strategically equivalent to rank-1 games through a positive affine transformation. It also presents an algorithm that can compute, in polynomial time, one such rank-1 game which is strategically equivalent to the original game. Through this approach, we substantially expand the class of games that are solvable in polynomial time. It is hoped that this approach can be further developed in conjunction with other notions of strategic equivalence to compute exact or approximate Nash equilibria in a wide variety of bimatrix games.
Year
Venue
DocType
2019
arXiv: Computer Science and Game Theory
Journal
Volume
Citations 
PageRank 
abs/1904.04251
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Joseph L. Heyman101.35