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Infinite sequential games with perfect but incomplete information

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  • Itai Arieli
  • Yehuda Levy

    ()

Abstract

Infinite 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.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s00182-010-0234-x
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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 40 (2011)
Issue (Month): 2 (May)
Pages: 207-213

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Handle: RePEc:spr:jogath:v:40:y:2011:i:2:p:207-213

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Related research

Keywords: Sequential games; Incomplete information; Borel games;

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  1. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
  2. 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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