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Kernel-based type spaces

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  • Grabiszewski, Konrad
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    Abstract

    Type space is of fundamental importance in epistemic game theory. This paper shows how to build type space if players approach the game in a way advocated by Bernheim's justification procedure. If an agent fixes a strategy profile of her opponents and ponders which of their beliefs about her set of strategies make this profile optimal, such an analysis is represented by kernels and yields disintegrable beliefs. Our construction requires that underlying space is Polish.

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    File URL: http://www.sciencedirect.com/science/article/B6WJ3-5161PK7-8/2/c38da80e4dd6beed3cec86b1b18c5b04
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Economic Theory.

    Volume (Year): 145 (2010)
    Issue (Month): 6 (November)
    Pages: 2483-2495

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    Handle: RePEc:eee:jetheo:v:145:y:2010:i:6:p:2483-2495

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    Web page: http://www.elsevier.com/locate/inca/622869

    Related research

    Keywords: Universal type spaces Rationalizability Epistemic game theory;

    References

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    1. Heifetz, Aviad & Samet, Dov, 1999. "Coherent beliefs are not always types," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 475-488, December.
    2. D. B. Bernheim, 2010. "Rationalizable Strategic Behavior," Levine's Working Paper Archive 514, David K. Levine.
    3. Brandenburger Adam & Dekel Eddie, 1993. "Hierarchies of Beliefs and Common Knowledge," Journal of Economic Theory, Elsevier, vol. 59(1), pages 189-198, February.
    4. D. Pearce, 2010. "Rationalizable Strategic Behavior and the Problem of Perfection," Levine's Working Paper Archive 523, David K. Levine.
    5. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
    6. Friedenberg, Amanda, 2010. "When do type structures contain all hierarchies of beliefs?," Games and Economic Behavior, Elsevier, vol. 68(1), pages 108-129, January.
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