Games with Imperfect Information

作者: Jean R. S. Blair , Cheng Liu , David Mutchler

DOI:

关键词:

摘要: An information set in a game tree is of nodes from which the rules require that same alternative (i.e., move) be selected. Thus an are indistinguishable to player moving set, thereby reflecting imperfect information, is, hidden player. Information sets arise naturally (for example) card gaines like poker and bridge. IIere we focus not on solution concept for games (which has been studied at length), but rather computational aspects such games: how hard it compute solutions? We present two fundainental results games. The first result shows even if there only single player, must seek special cases or heuristics. second complements first, providing efficient algorithm just case. Additionally, show our case can used as heuristic general

参考文章(20)
Keki B. Irani, Carol A. Luckhardt, An algorithmic solution of N-person games national conference on artificial intelligence. pp. 158- 162 ,(1986)
Thomas Anantharaman, Murray S. Campbell, Feng-hsiung Hsu, Singular extensions Artificial Intelligence. ,vol. 43, pp. 99- 109 ,(1990) , 10.1016/0004-3702(90)90073-9
Michael Mesterton-Gibbons, Michael Mesterton-Gibbons, An Introduction To Game-theoretic Modelling ,(1991)
Wolfgang Leiniger, Games and information: An introduction to game theory International Journal of Industrial Organization. ,vol. 9, pp. 474- 476 ,(1991) , 10.1016/0167-7187(91)90026-H
David Allen McAllester, Conspiracy numbers for min-max search Artificial Intelligence. ,vol. 35, pp. 287- 310 ,(1988) , 10.1016/0004-3702(88)90019-7
Howard Raiffa, R. Duncan Luce, T. Teichmann, Games and decisions ,(1957)
Bruce W. Ballard, The *-minimax search procedure for trees containing chance nodes Artificial Intelligence. ,vol. 21, pp. 327- 350 ,(1983) , 10.1016/S0004-3702(83)80015-0
James R. Slagle, John E. Dixon, Experiments With Some Programs That Search Game Trees Journal of the ACM. ,vol. 16, pp. 189- 207 ,(1969) , 10.1145/321510.321511