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Replica Core Limit Theorem for Economy with Satiation

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  • Hiromi Murakami

    () (Graduate School of Economics, Osaka University)

  • Ken Urai

    () (Graduate School of Economics, Osaka University)

Abstract

Dividend equilibrium, defined by Aumann and Drèze (1986), is one of the most general competitive equilibrium concepts for the market, including satiated consumers. Konovalov (2005) shows a core equivalence theorem to the dividend equilibrium using the concept of rejective core. Konovalov's argument, however, is based on the setting of an atomless large economy and the core limit problem for dividend equilibrium remains unsolved. In a previous paper, Urai and Murakami (2015), we provided a generalization of the Debreu-Scarf core limit theorem (Debreu and Scarf 1963) for monetary overlapping generations economies under an extended concept of replica core allocation. In this paper, we show that the concept and method also provide a core limit theorem for economies with satiation.

Suggested Citation

  • Hiromi Murakami & Ken Urai, 2016. "Replica Core Limit Theorem for Economy with Satiation," Discussion Papers in Economics and Business 16-09, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
  • Handle: RePEc:osk:wpaper:1609
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    File URL: http://www2.econ.osaka-u.ac.jp/library/global/dp/1609.pdf
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    References listed on IDEAS

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    1. Dreze, Jacques H. & Muller, Heinz, 1980. "Optimality properties of rationing schemes," Journal of Economic Theory, Elsevier, vol. 23(2), pages 131-149, October.
    2. Alexander Konovalov, 2005. "The core of an economy with satiation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(3), pages 711-719, April.
    3. Ken Urai & Hiromi Murakami, 2014. "Replica Core Equivalence Theorem: An Extension of the Debreu-Scarf Limit Theorem to Double Infinity Monetary Economies," Discussion Papers in Economics and Business 14-35-Rev., Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP), revised Mar 2015.
    4. Ken Urai & Hiromi Murakami, 2014. "Replica Core Equivalence Theorem: An Extension of the Debreu-Scarf Limit Theorem to Double Infinity Monetary Economies," Discussion Papers in Economics and Business 14-35-Rev.2, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP), revised May 2015.
    5. Grandmont, Jean-Michel, 1993. "Temporary general equilibrium theory," Handbook of Mathematical Economics,in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 19, pages 879-922 Elsevier.
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    Cited by:

    1. Kohzo Shiraishi & Ken Urai & Hiromi Murakami, 2016. "Universality and Efficiency of Price Mechanism based on an Expansion Possibility of Economies," Discussion Papers in Economics and Business 16-10, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).

    More about this item

    Keywords

    Dividend Equilibrium; Core Equivalence; Replica Economy; Economy with Satiation;

    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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