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Bargaining Set and Anonymous Core without the Monotonicity Assumption

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  • Chiaki Hara

    (Institute of Economic Research, Kyoto University and Faculty of Economics, University of Cambridge)

Abstract

We give an example of an atomless exchange economy in which consumers'preference relations are not monotone and in which the bargaining set of Mas-Colell (1989) consists of all allocations satisfying resource constraints, although the set of all Walrasian equilibrium allocations, the core, and the anonymous core of Hara (2002) are all empty. We also give an equivalence theorem for the anonymous core when the preference relations may not be monotone.

Suggested Citation

  • Chiaki Hara, 2004. "Bargaining Set and Anonymous Core without the Monotonicity Assumption," KIER Working Papers 599, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:599
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    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP599.pdf
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    References listed on IDEAS

    as
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    Cited by:

    1. Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2020. "The Nucleolus, the Kernel, and the Bargaining Set: An Update," Revue économique, Presses de Sciences-Po, vol. 71(2), pages 225-266.
    2. Yang, Yi-You, 2015. "On the Maximal Domain Theorem," MPRA Paper 67265, University Library of Munich, Germany.

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    More about this item

    Keywords

    Atomless exchange economies; core; bargaining set; anonymous core; equivalence theorems;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • Q53 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Air Pollution; Water Pollution; Noise; Hazardous Waste; Solid Waste; Recycling

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