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Core equivalence in presence of satiation and indivisibilities

Author

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  • Bhowmik, Anuj
  • Dharanan, GVA

Abstract

Equivalence between rejective core and set of dividend equilibria allocations is studied in finite economy and double infinity economy frameworks in presence of indivisibilities of commodities while also allowing the presence of satiated agents. It is further shown that in the finite economy and the double infinity economy, the core of every renegotiation core, the rejective core of every replica economy and the set of dividend equilibria are identical. Hence, core equivalence is demonstrated in both frameworks.

Suggested Citation

  • Bhowmik, Anuj & Dharanan, GVA, 2021. "Core equivalence in presence of satiation and indivisibilities," MPRA Paper 105790, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:105790
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    File URL: https://mpra.ub.uni-muenchen.de/105790/1/MPRA_paper_105790.pdf
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    References listed on IDEAS

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    1. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    2. 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.
    3. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    4. 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.
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    More about this item

    Keywords

    Core equivalence; Indivisible commodities; Satiation; Dividend equilibrium; Rejective core; Renegotiation core.;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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