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Coalitional Extreme Desirability in Finitely Additive Economies with Asymmetric Information

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  • Bhowmik, Anuj
  • Centrone, Francesca
  • Martellotti, Anna

Abstract

We prove a coalitional core-Walras equivalence theorem for an asymmetric information exchange economy with a finitely additive measure space of agents, finitely many states of nature, and an infinite dimensional commodity space having the Radon-Nikodym property and whose positive cone has possibly empty interior. The result is based on a new cone condition, firstly developed in Centrone and Martellotti (2015), called coalitional extreme desirability. As a consequence, we also derive a new individualistic core-Walras equivalence result.

Suggested Citation

  • Bhowmik, Anuj & Centrone, Francesca & Martellotti, Anna, 2016. "Coalitional Extreme Desirability in Finitely Additive Economies with Asymmetric Information," MPRA Paper 71084, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:71084
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    1. Bhowmik, Anuj & Centrone, Francesca & Martellotti, Anna, 2019. "Coalitional extreme desirability in finitely additive economies with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 83-93.
    2. Niccolò Urbinati, 2023. "The Walrasian objection mechanism and Mas-Colell’s bargaining set in economies with many commodities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(1), pages 45-68, July.

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    More about this item

    Keywords

    Asymmetric information; Coalitional economies; Core-Walras equivalence; Extremely desirable commodity; Finitely additive measure; Walrasian expectation equilibria; Private core; Radon-Nikodym property.;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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