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A General Coalition Structure: Some Equivalence Results

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  • Bimonte, Giovanna

Abstract

It is well known that in a differential information economy the free coalition formation may imply some theoretical difficulties. It does not suffice to say that a coalition can be formed by several agents. We define a set of all possible coalitions as the set of those coalitions that can be formed and joint by any agent. There exists, in this way, a rule imposed over coalition formation. We assume that only a subset $\mathcal{S}$ of $\Sigma$ is alowed to form. In such way, we fix over the set of agents an aggregation rule for which the coalitions can be formed only if they belong to this subset. We have restricted the set of coalitions that can be joined by traders. The main result is the equivalence between two private core concept: the classical one for a differential information economy and the private core restricted.

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  • Bimonte, Giovanna, 2013. "A General Coalition Structure: Some Equivalence Results," MPRA Paper 46283, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:46283
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    References listed on IDEAS

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    1. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
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    4. Allan Muir & Nicholas C. Yannelis & Dionysius Glycopantis, 2001. "An extensive form interpretation of the private core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 293-319.
    5. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
    6. Giovanna Bimonte & Maria Graziano, 2009. "The measure of blocking coalitions in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 331-350, February.
    7. M. Ali Khan, 1974. "Some Equivalence Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(4), pages 549-565.
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    More about this item

    Keywords

    Differential information economy; restriction on coalition formation; private core.;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • 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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