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Fuzzy Rejective Core of Satiated Economies with Unbounded Consumption Sets

Author

Listed:
  • Nizar Allouch

    (Queen Mary, University of London)

  • Monique Florenzano

    (Paris School of Economics)

Abstract

For an exchange economy, under assumptions which did not bring about the existence of equilibrium with dividends as yet, we prove the non-emptiness of the fuzzy rejective core. Then, via Konovalov (1998, 2005)'s equivalence result, we solve the equilibrium with dividends existence problem. Adding to the same assumptions a weak non-satiation condition which differs from the weak non-satiation assumption introduced by Allouch-Le Van (2009), we show in a last section the existence of a Walrasian quasiequilibrium. This result, which fits with exchange economies whose consumers' utility functions are not assumed to be upper semicontinuous, complements the one obtained by Martins-da-Rocha and Monteiro (2009).

Suggested Citation

  • Nizar Allouch & Monique Florenzano, 2012. "Fuzzy Rejective Core of Satiated Economies with Unbounded Consumption Sets," Working Papers 690, Queen Mary University of London, School of Economics and Finance.
    • Handle: RePEc:qmw:qmwecw:690
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    References listed on IDEAS

    as
    1. Andreu Mas-Colell, 1992. "Equilibrium Theory with Possibly Satiated Preferences," Palgrave Macmillan Books, in: Mukul Majumdar (ed.), Equilibrium and Dynamics, chapter 9, pages 201-213, Palgrave Macmillan.
    2. Allouch, Nizar & Le Van, Cuong, 2009. "Erratum to "Walras and dividends equilibrium with possibly satiated consumers"," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 320-328, March.
    3. Le Van, Cuong & Minh, Nguyen Ba, 2007. "No-arbitrage condition and existence of equilibrium with dividends," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 135-152, February.
    4. Martins-da-Rocha, V. Filipe & Monteiro, Paulo K., 2009. "Unbounded exchange economies with satiation: How far can we go?," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 465-478, July.
    5. Konovalov, A., 1998. "Core Equivalence in Economies With Satiation," Discussion Paper 1998-80, Tilburg University, Center for Economic Research.
    6. Konovalov, A., 1998. "Core Equivalence in Economies With Satiation," Other publications TiSEM bde29dd4-b328-48b4-8fb4-6, Tilburg University, School of Economics and Management.
    7. Nizar Allouch & Monique Florenzano, 2004. "Edgeworth and Walras equilibria of an arbitrage-free exchange economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 353-370, January.
    8. Cuong Le Van & Nguyen Ba Minh, 2007. "No-arbitrage condition and existence of equilibrium with dividends," Post-Print halshs-00101177, HAL.
    9. Allouch, N. & Florenzano, M., 2000. "Edgeworth and Walras Equilibria of an Arbitrage-Free Exchange Economy," Papiers d'Economie Mathématique et Applications 2000.119, Université Panthéon-Sorbonne (Paris 1).
    10. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Exchange economy; Satiation; Equilibrium with dividends; Rejective core; Fuzzy rejective core; Core equivalence;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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