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Belief Revision In Games Of Perfect Information

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  • Clausing, Thorsten
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    Abstract

    A syntactic formalism for the modeling of belief revision in perfect information games is presented that allows to define the rationality of a player s choice of moves relative to the beliefs he holds as his respective decision nodes have been reached. In this setting, true common belief in the structure of the game and rationality held before the start of the game does not imply that backward induction will be played. To derive backward induction, a forward belief condition is formulated in terms of revised rather than initial beliefs. Alternative notions of rationality as well as the use of knowledge instead of belief are also studied within this framework.

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    Bibliographic Info

    Article provided by Cambridge University Press in its journal Economics and Philosophy.

    Volume (Year): 20 (2004)
    Issue (Month): 01 (April)
    Pages: 89-115

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    Handle: RePEc:cup:ecnphi:v:20:y:2004:i:01:p:89-115_00

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    Cited by:
    1. Giacomo Bonanno, 2014. "Reasoning about strategies and rational play in dynamic games," Working Papers 149, University of California, Davis, Department of Economics.
    2. Perea, Andrés, 2006. "Epistemic Foundations for Backward Induction: An Overview," Research Memorandum 036, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    3. Perea, Andrés, 2008. "Minimal belief revision leads to backward induction," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 1-26, July.

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