Efficient Decomposition of Bimatrix Games (Extended Abstract)

Xiang Jiang, Arno Pauly
2014 Electronic Proceedings in Theoretical Computer Science  
Exploiting the algebraic structure of the set of bimatrix games, a divide-and-conquer algorithm for finding Nash equilibria is proposed. The algorithm is fixed-parameter tractable with the size of the largest irreducible component of a game as parameter. An implementation of the algorithm is shown to yield a significant performance increase on inputs with small parameters.
doi:10.4204/eptcs.146.10 fatcat:iy6bjjsmmjgj7hdtqjgahd65pm