Representations and solutions for game-theoretic problems

被引:76
作者
Koller, D [1 ]
Pfeffer, A [1 ]
机构
[1] UC BERKEKEY,BERKELEY,CA
关键词
game theory; algorithms; imperfect information; multi-agent systems; game playing; logic programming; poker;
D O I
10.1016/S0004-3702(97)00023-4
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A system with multiple interacting agents (whether artificial or human) is often best analyzed using game-theoretic tools. Unfortunately, while the formal foundations are well-established, standard computational techniques for game-theoretic reasoning are inadequate for dealing with realistic games, This paper describes the Gala system, an implemented system that allows the specification and efficient solution of large imperfect information games. The system contains the first implementation of a recent algorithm, due to Koller, Megiddo and von Stengel. Experimental results from the system demonstrate that the algorithm is exponentially faster than the standard algorithm in practice, not just in theory. It therefore allows the solution of games that are orders of magnitude larger than were previously possible. The system also provides a new declarative language for compactly and naturally representing games by their rules. As a whole, the Gala system provides the capability for automated game-theoretic analysis of complex real-world situations. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:167 / 215
页数:49
相关论文
共 34 条
  • [1] [Anonymous], LECT NOTES EC MATH S
  • [2] Aumann R. J., 1992, Handbook of Game Theory, V1
  • [3] AVENHAUS R, 1997, HDB GAME THEORY, V3
  • [4] BLAIR JRS, 1993, AAAI FALL S GAM PLAN
  • [5] Cottle RW., 1992, LINEAR COMPLEMENTARI
  • [6] Dantzig G. B., 1963, LINEAR PROGRAMMING E
  • [7] Fagin R., 1995, Reasoning About Knowledge, DOI DOI 10.7551/MITPRESS/5803.001.0001
  • [8] FRANKLIN M, 1993, AN S FDN CO, P670
  • [9] GORDON S, 1993, AAAI FALL S GAM PLAN
  • [10] HOWARD RA, 1977, READINGS PRINCIPLES