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No-arbitrage condition and existence of equilibrium with dividends

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  • 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.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/B04058.pdf
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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b04058.

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Length: 13 pages
Date of creation: Jun 2004
Date of revision:
Handle: RePEc:mse:wpsorb:b04058

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Keywords: Equilibrium with dividends; Walras equilibrium; satiation points; no-arbitrage condition.;

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References

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  1. Aumann, R.J. & Dreze, J.H., 1984. "Values of markets with satiation or fixed prices," CORE Discussion Papers 1984033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. 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.
  3. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
  4. Dreze, Jacques H. & Muller, Heinz, 1980. "Optimality properties of rationing schemes," Journal of Economic Theory, Elsevier, vol. 23(2), pages 131-149, October.
  5. Cornet, Bernard & Topuzu, Mihaela & Yildiz, Aysegul, 2003. "Equilibrium theory with a measure space of possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 175-196, June.
  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.
  7. Kajii, Atsushi, 1996. "How to discard non-satiation and free-disposal with paper money," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 75-84.
  8. Makarov, V. L., 1981. "Some results on general assumptions about the existence of economic equilibrium," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 87-99, March.
  9. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-18, November.
  10. Alexander Konovalov, 2005. "The core of an economy with satiation," Economic Theory, Springer, vol. 25(3), pages 711-719, 04.
  11. Florenzano, Monigue & Le Van, Cuong, 1986. "A note on the Gale-Nikaido-Debreu lemma and the existence of general equilibrium," Economics Letters, Elsevier, vol. 22(2-3), pages 107-110.
  12. Nielsen, Lars Tyge, 1989. "Asset Market Equilibrium with Short-Selling," Review of Economic Studies, Wiley Blackwell, vol. 56(3), pages 467-73, July.
  13. Page Jr., Frank H. & Wooders, Myrna Holtz, 1996. "A necessary and sufficient condition for the compactness of individually rational and feasible outcomes and the existence of an equilibrium," Economics Letters, Elsevier, vol. 52(2), pages 153-162, August.
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Cited by:
  1. repec:hal:journl:halshs-00241543 is not listed on IDEAS
  2. 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.
  3. Nizar Allouch & Cuong Le Van, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00241543, 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. repec:hal:journl:halshs-00598038 is not listed on IDEAS

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