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Mixing on Function Spaces

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  • Rustichini, Aldo

Abstract

We prove that a probability measure over a space of functions induces a measure over the product space of the image and range of these functions. As an application, we show that the equilibrium of large anonymous games with uncertainty completely describes the behavior of players. In the second part of the paper we prove that mixed strategies over function spaces are equivalent to behavioral and distributional strategies.

Suggested Citation

  • Rustichini, Aldo, 1993. "Mixing on Function Spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 183-191, January.
  • Handle: RePEc:spr:joecth:v:3:y:1993:i:1:p:183-91
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    Cited by:

    1. Michael Greinecker & Konrad Podczeck, 2013. "Purification and Independence," Working Papers 2013-18, Faculty of Economics and Statistics, University of Innsbruck.
    2. Luciano De Castro, 2012. "Correlation of Types in Bayesian Games," Discussion Papers 1556, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Michael Greinecker & Konrad Podczeck, 2015. "Purification and roulette wheels," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 255-272, February.

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