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Replica core equivalence theorem: An extension of the Debreu–Scarf limit theorem to double infinity monetary economies

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  • Urai, Ken
  • Murakami, Hiromi

Abstract

An overlapping generations model with the double infinity of commodities and agents is the most fundamental framework to introduce outside money into a static economic model. In this model, competitive equilibria may not necessarily be Pareto-optimal. Although Samuelson (1958) emphasized the role of fiat money as a certain kind of social contract, we cannot characterize it as a cooperative game-theoretic solution like the core. In this paper, we obtained a finite replica core characterization of Walrasian equilibrium allocations under non-negative wealth transfer and a core-limit characterization of Samuelson’s social contrivance of money. Preferences are not necessarily assumed to be ordered.

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  • Urai, Ken & Murakami, Hiromi, 2016. "Replica core equivalence theorem: An extension of the Debreu–Scarf limit theorem to double infinity monetary economies," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 83-88.
    • Handle: RePEc:eee:mateco:v:66:y:2016:i:c:p:83-88
    DOI: 10.1016/j.jmateco.2016.08.003
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    11. Sonnenschein, Hugo, 1974. "An Axiomatic Characterization of the Price Mechanism," Econometrica, Econometric Society, vol. 42(3), pages 425-433, May.
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    13. Ken Urai & Hiromi Murakami, 2015. "An Axiomatic Characterization of the Price-Money Message Mechanism," Discussion Papers in Economics and Business 15-31-Rev., Osaka University, Graduate School of Economics, revised Mar 2016.
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    Cited by:

    1. Kohzo Shiraishi & Ken Urai & Hiromi Murakami, 2018. "Stability and Universal Implementability of the Price Mechanism," Discussion Papers in Economics and Business 18-16, Osaka University, Graduate School of Economics.
    2. Hiromi Murakami & Ken Urai, 2017. "Replica core limit theorem for economies with satiation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 259-270, October.
    3. Bhowmik, Anuj & Dharanan, GVA, 2021. "Core equivalence in presence of satiation and indivisibilities," MPRA Paper 105790, University Library of Munich, Germany.
    4. Ken Urai & Hiromi Murakami, 2017. "Local Independence, Monotonicity, Incentive Compatibility and Axiomatic Characterization of Price-Money Message Mechanism," Discussion Papers in Economics and Business 17-08, Osaka University, Graduate School of Economics.
    5. Kohzo Shiraishi & Ken Urai & Hiromi Murakami, 2017. "Stability and Universal Implementability of the Price Mechanism," Discussion Papers in Economics and Business 17-09, Osaka University, Graduate School of Economics.

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