Efficient Decomposition of Bimatrix Games (Extended Abstract)

被引:1
作者
Jiang, Xiang [1 ]
Pauly, Arno [1 ]
机构
[1] Univ Cambridge, Comp Lab, Cambridge, England
关键词
D O I
10.4204/EPTCS.146.10
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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.
引用
收藏
页码:75 / 81
页数:7
相关论文
共 24 条
[1]  
Blackwell D., 1969, ZASTOWANIA MATEMATYK
[2]   On the Complexity of Iterated Weak Dominance in Constant-Sum Games [J].
Brandt, Felix ;
Brill, Markus ;
Fischer, Felix ;
Harrenstein, Paul .
THEORY OF COMPUTING SYSTEMS, 2011, 49 (01) :162-181
[3]  
Brattka Vasco, 2012, How the World Computes.Turing Centenary Conference and 8th Conference on Computability in Europe, CiE 2012, P56, DOI 10.1007/978-3-642-30870-3_7
[4]   Closed choice and a Uniform Low Basis Theorem [J].
Brattka, Vasco ;
de Brecht, Matthew ;
Pauly, Arno .
ANNALS OF PURE AND APPLIED LOGIC, 2012, 163 (08) :986-1008
[5]   EFFECTIVE CHOICE AND BOUNDEDNESS PRINCIPLES IN COMPUTABLE ANALYSIS [J].
Brattka, Vasco ;
Gherardi, Guido .
BULLETIN OF SYMBOLIC LOGIC, 2011, 17 (01) :73-117
[6]   Settling the Complexity of Computing Two-Player Nash Equilibria [J].
Chen, Xi ;
Deng, Xiaotie ;
Teng, Shang-Hua .
JOURNAL OF THE ACM, 2009, 56 (03)
[7]  
Daskalakis C., 2006, STOC'06. Proceedings of the 38th Annual ACM Symposium on Theory of Computing, P71, DOI 10.1145/1132516.1132527
[8]  
Downey Rodney G., 1999, MG COMP SCI
[9]  
Estivill-Castro V, 2011, LECT NOTES COMPUT SC, V6460, P121, DOI 10.1007/978-3-642-19222-7_13
[10]  
Estivill-Castro Vladimir, 2009, CATS 2009 CRPIT 94