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Universality of the Epstein-Wang type structure

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  • Chen, Yi-Chun

Abstract

We prove that the type structure constructed in [Epstein, L., Wang, T., 1996. 'Belief about belief' without probabilities. Econometrica 64, 1343-1373] is a universal/terminal type structure into which every suitably regular type structure can be embedded. Moreover, it is unique up to a homeomorphism and every belief-complete type space can be mapped onto the universal one. We also show how our results help understand connections among several existing constructions.

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File URL: http://www.sciencedirect.com/science/article/B6WFW-4W7J118-2/2/afd91dd2b42a5d203fe994dea9a7434b
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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 68 (2010)
Issue (Month): 1 (January)
Pages: 389-402

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Handle: RePEc:eee:gamebe:v:68:y:2010:i:1:p:389-402

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Web page: http://www.elsevier.com/locate/inca/622836

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Cited by:
  1. Jayant V. Ganguli & Aviad Heifetz, 2012. "Universal interactive preferences," Economics Discussion Papers 722, University of Essex, Department of Economics.

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