The determinacy of infinite games with eventual perfect monitoring

作者: Eran Shmaya

DOI: 10.1090/S0002-9939-2011-10987-0

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摘要: An infinite two-player zero-sum game with a Borel winning set, in which the opponent’s actions are monitored eventually but not necessarily immediately after they played, admits value. The proof relies on representation of as stochastic perfect information, Nature operates delegate for players and performs randomizations them.

参考文章(13)
David Blackwell, Operator Solution of Infinite Gδ Games of Imperfect Information Probability, Statistics, and Mathematics#R##N#Papers in Honor of Samuel Karlin. pp. 83- 87 ,(1989) , 10.1016/B978-0-12-058470-3.50013-6
David Blackwell, Infinite Gδ-Games with imperfect information IM PAN, call no. cz332. ,vol. 10, pp. 99- 101 ,(1969)
Herbert E. Scarf, Lloyd S. Shapley, GAMES WITH PARTIAL INFORMATION RAND Corporation. ,(1956)
Torgny Lindvall, Lectures on the Coupling Method ,(1992)
Eran Shmaya, Many inspections are manipulable Theoretical Economics. ,vol. 3, pp. 367- 382 ,(2008)
Donald A. Martin, The Determinacy of Blackwell Games Journal of Symbolic Logic. ,vol. 63, pp. 1565- 1581 ,(1998) , 10.2307/2586667
A. Maitra, W. Sudderth, Finitely additive stochastic games with Borel measurable payoffs International Journal of Game Theory. ,vol. 27, pp. 257- 267 ,(1998) , 10.1007/S001820050071
John von Neumann, Oskar Morgenstern, Theory of Games and Economic Behavior ,(1944)
K. Fan, Minimax Theorems Proceedings of the National Academy of Sciences of the United States of America. ,vol. 39, pp. 42- 47 ,(1953) , 10.1073/PNAS.39.1.42