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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.

Suggested Citation

  • Chen, Yi-Chun, 2010. "Universality of the Epstein-Wang type structure," Games and Economic Behavior, Elsevier, vol. 68(1), pages 389-402, January.
  • Handle: RePEc:eee:gamebe:v:68:y:2010:i:1:p:389-402
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    Cited by:

    1. Ganguli, Jayant & Heifetz, Aviad & Lee, Byung Soo, 2016. "Universal interactive preferences," Journal of Economic Theory, Elsevier, vol. 162(C), pages 237-260.
    2. repec:esx:essedp:722 is not listed on IDEAS
    3. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications, Elsevier.

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