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A General Coalition Structure: Some Equivalence Results

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  • Giovanna Bimonte

    (Dipartimento di Scienze Economiche e Statistiche, Università degli Studi di Salerno)

Abstract

TThe formation of coalition may imply some theoretical difficulties, such as costs arising from forming a coalition or sharing information among agents. In this paper we will assume that only a subset S of the set of all possible coalitions in an economy is the set of admissible coalitions. We define the S-core concept, as in Hervs-Moreno. We will extend to a model with both uncertainty and asymmetric informations the results showed in Okuda and Shitovitz.

Suggested Citation

  • Giovanna Bimonte, 2013. "A General Coalition Structure: Some Equivalence Results," Working Papers 3_230, Dipartimento di Scienze Economiche e Statistiche, Università degli Studi di Salerno.
    • Handle: RePEc:sep:wpaper:3_230
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    References listed on IDEAS

    as
    1. Greenberg, Joseph & Weber, Shlomo & Yamazaki, Akira & 山崎, 昭, 2004. "On Blocking Coalitions: Linking Mas-Colell with Grodal-Schmeidler-Vind," Discussion Papers 2004-03, Graduate School of Economics, Hitotsubashi University.
    2. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
    3. Greenberg, Joseph & Weber, Shlomo, 1983. "A core equivalence theorem with an arbitrary communication structure," Journal of Mathematical Economics, Elsevier, vol. 11(1), pages 43-55, January.
    4. Okuda, Hidesuke & Shitovitz, Benyamin, 1985. "Core allocations and the dimension of the cone of efficiency price vectors," Journal of Economic Theory, Elsevier, vol. 35(1), pages 166-171, February.
    5. GREENBERG, Joseph & WEBER, Shlomo & YAMAZAKI, Akira, 2004. "On blocking coalitions : linking Mas-Colell with Grodal-Schmeidler-Vind," LIDAM Discussion Papers CORE 2004060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Allen, Beth, 1993. "4. Market Games with Asymmetric Information : Verification and the Publicly Predictable Information Core," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 34(Special I), pages 101-122, December.
    7. 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.
    8. Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2005. "Competitive and core allocations in large economies with differential information," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 173-183, Springer.
    9. Grodal, Birgit, 1972. "A Second Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 581-583, May.
    10. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
    11. 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.
    12. M. Ali Khan, 1974. "Some Equivalence Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(4), pages 549-565.
    13. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
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    More about this item

    Keywords

    Differential information economy; restriction on coalition formation; private core.;
    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
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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