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Type space on a purely measurable parameter space

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  • Miklós Pintér

Abstract

Several game theoretical topics require the analysis of hierarchical beliefs, particularly in incomplete information situations. For the problem of incomplete information, Harsányi suggested the concept of the type space. Later Mertens and Zamir gave a construction of such a type space under topological assumptions imposed on the parameter space. The topological assumptions were weakened by Heifetz, and by Brandenburger & Dekel. In this paper we show that at very natural assumptions upon the structure of the beliefs, the universal type space does exist. We construct a universal type space, which employs purely a measurable parameter space structure. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Miklós Pintér, 2005. "Type space on a purely measurable parameter space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 129-139, July.
    • Handle: RePEc:spr:joecth:v:26:y:2005:i:1:p:129-139
    DOI: 10.1007/s00199-004-0501-9
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    Cited by:

    1. Pintér, Miklós, 2011. "Common priors for generalized type spaces," MPRA Paper 34118, University Library of Munich, Germany.
    2. Pintér, Miklós, 2010. "The non-existence of a universal topological type space," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 223-229, March.
    3. Pintér, Miklós & Udvari, Zsolt, 2011. "Generalized type spaces," MPRA Paper 34107, University Library of Munich, Germany.

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