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No-arbitrage condition and existence of equilibrium with dividends
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No-arbitrage condition and existence of equilibrium with dividends

Author

Listed:
  • Cuong Le Van

    (CERMSEM)

  • Nguyen Ba Minh

    (Hanoi University of Commerce)

Abstract

In this paper, we first give an elementary proof of existence of equilibrium with dividends in an economy with possibly satiated consumers. We then introduce a non-arbitrage condition and show that it is equivalent to the existence of equilibrium with dividends

Suggested Citation

  • Cuong Le Van & Nguyen Ba Minh, 2004. "No-arbitrage condition and existence of equilibrium with dividends," Cahiers de la Maison des Sciences Economiques b04058, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:mse:wpsorb:b04058
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    File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/B04058.pdf
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    References listed on IDEAS

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    1. Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2002. "The geometry of arbitrage and the existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 373-391, December.
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    6. Dana, Rose-Anne & Le Van, Cuong & Magnien, Francois, 1999. "On the Different Notions of Arbitrage and Existence of Equilibrium," Journal of Economic Theory, Elsevier, vol. 87(1), pages 169-193, July.
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    15. Lars Tyge Nielsen, 1989. "Asset Market Equilibrium with Short-Selling," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 467-473.
    16. repec:dau:papers:123456789/6228 is not listed on IDEAS
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    Cited by:

    1. 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.
    2. Allouch, Nizar & Le Van, Cuong, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 907-918, September.
    3. Nizar Allouch & Monique Florenzano, 2011. "Satiated economies with unbounded consumption sets : fuzzy core and equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00598038, HAL.
    4. Allouch, Nizar & Florenzano, Monique, 2013. "Edgeworth rejective core and dividends equilibria of satiated exchange economies," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 1-6.
    5. 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.
    6. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, August.
    7. Jean-Michel Grandmont, 2013. "Tribute to Cuong Le Van," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 5-10, March.
    8. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    9. Allouch, Nizar & Le Van, Cuong, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 907-918, September.

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    More about this item

    Keywords

    Equilibrium with dividends; Walras equilibrium; satiation points; no-arbitrage condition;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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