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Information and size of coalitions

Author

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  • Carlos Hervés-Beloso
  • Claudia Meo
  • Emma Moreno-García

Abstract

We consider a set of asymmetrically informed agents, where the information of each trader is susceptible of being altered when she becomes a member of a coalition. For this, we consider a general rule that depending on the coalition, a signal (or an information partition) is assigned to each member of the coalition. We set examples showing that Grodal’s (Econometrica 40:581–583, 1972 ), Schmeidler’s (Econometrica 40:579–580, 1972 ) and Vind’s (Econometrica 40:585–586, 1972 ) core characterizations of a continuum economy may fail in this general informational setting. However, under mild assumptions on the rule, we extend Schmeidler’s and Vind’s results to economies that allocate information to agents in each coalition according to the rule. We then focus on information mechanisms based on the size of coalitions and provide a general characterization result for the corresponding cores. Moreover, we pay close attention to the rule that assigns the shared information to each member of specific coalitions. We prove that the resulting cores are exactly the same independently of whether arbitrarily small or large coalitions share information. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Carlos Hervés-Beloso & Claudia Meo & Emma Moreno-García, 2014. "Information and size of coalitions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 545-563, April.
  • Handle: RePEc:spr:joecth:v:55:y:2014:i:3:p:545-563
    DOI: 10.1007/s00199-013-0770-2
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    2. Chiara Donnini & Marialaura Pesce, 2020. "Strict fairness of equilibria in asymmetric information economies and mixed markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 107-124, February.
    3. Bhowmik, Anuj & Graziano, Maria Gabriella, 2015. "On Vind’s theorem for an economy with atoms and infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 26-36.
    4. Chiara Donnini & Maria Laura Pesce, 2018. "Strict Fairness of Equilibria in Mixed and Asymmetric Information Economies," CSEF Working Papers 498, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    5. Emma Moreno-García & Juan Pablo Torres-Martínez, 2020. "Information within coalitions: risk and ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 125-147, February.
    6. Effrosyni Diamantoudi & Eftichios Sartzetakis, 2015. "International environmental agreements: coordinated action under foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 527-546, August.
    7. Anuj Bhowmik, 2015. "Core and coalitional fairness: the case of information sharing rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 461-494, November.
    8. 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.
    9. Christian Pietro & Maria Gabriella Graziano & Vincenzo Platino, 0. "Social loss with respect to the core of an economy with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 0, pages 1-22.
    10. 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.

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    More about this item

    Keywords

    Asymmetric information; Blocking mechanisms; Coalitions; Core; Information sharing; D82; D51; D71; C02;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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