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Two remarks on the inner core

Author

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  • DE CLIPPEL, Geoffroy
  • MINELLI, Enrico

Abstract

For the case of smooth concave exchange economies, we provide a characterization of the inner core as the set of feasible allocations such that no coalition can improve on it, even if coalitions are allowed to use some random plans. For the case of compactly generated games, we discuss Myerson's definition of the inner core, and we characterize it using lexicographic utility weight systems.

Suggested Citation

  • DE CLIPPEL, Geoffroy & MINELLI, Enrico, 2002. "Two remarks on the inner core," CORE Discussion Papers 2002001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2002001
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    File URL: https://uclouvain.be/en/research-institutes/immaq/core/dp-2002.html
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    References listed on IDEAS

    as
    1. Qin Cheng-Zhong, 1993. "The Inner Core and the Strictly Inhibitive Set," Journal of Economic Theory, Elsevier, vol. 59(1), pages 96-106, February.
    2. Qin Cheng-Zhong, 1994. "The Inner Core of an n-Person Game," Games and Economic Behavior, Elsevier, vol. 6(3), pages 431-444, May.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    4. Qin, Cheng-Zhong, 1994. "An Inner Core Equivalence Theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 311-317, March.
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    Citations

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    Cited by:

    1. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    2. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    3. Brangewitz, Sonja & Gamp, Jan-Philip, 2016. "Inner Core, Asymmetric Nash Bargaining Solutions and Competitive Payoffs," Center for Mathematical Economics Working Papers 453, Center for Mathematical Economics, Bielefeld University.
    4. Sonja Brangewitz & Jan-Philip Gamp, 2014. "Competitive outcomes and the inner core of NTU market games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 529-554, November.
    5. de Clippel, Geoffroy, 2008. "An axiomatization of the inner core using appropriate reduced games," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 316-323, February.
    6. Brangewitz, Sonja & Gamp, Jan-Philip, 2016. "Competitive outcomes and the inner core of NTU market games," Center for Mathematical Economics Working Papers 449, Center for Mathematical Economics, Bielefeld University.
    7. Yusuke Kamishiro & Roberto Serrano, 2008. "Information transmission and core convergence in quasilinear economies," Working Papers 2008-01, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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