Infinite sequential games with perfect but incomplete information
AbstractInfinite sequential games, in which Nature chooses a Borel winning set and reveals it to one of the players, do not necessarily have a value if Nature has 3 or more choices. The value does exist if Nature has 2 choices. The value also does not necessarily exist if Nature chooses from 2 Borel payoff functions. Similarly, if Player 1 chooses the Borel winning set and does not reveal his selection to Player 2, then the game does not necessarily have a value if there are 3 or more choices; it does have a value if there are only 2 choices. If Player 1 chooses from 2 Borel payoff functions and does not reveal his choice, the game need not have a value either.
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Bibliographic InfoArticle provided by Springer in its journal International Journal of Game Theory.
Volume (Year): 40 (2011)
Issue (Month): 2 (May)
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Web page: http://link.springer.de/link/service/journals/00182/index.htm
Other versions of this item:
- Itai Arieli & Yehuda (John) Levy, 2009. "Infinite Sequential Games with Perfect but Incomplete Information," Discussion Paper Series dp524, The Center for the Study of Rationality, Hebrew University, Jerusalem.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, January.
- Rosenberg, Dinah & Vieille, Nicolas, 2000. "The Maxmin of Recursive Games with Incomplete Information on one Side," Economics Papers from University Paris Dauphine 123456789/6231, Paris Dauphine University.
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