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No-arbitrage condition and existence of equilibrium with dividends

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  • Le Van, Cuong
  • Minh, Nguyen Ba

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 no-arbitrage condition and show that it is equivalent to the existence of equilibrium with dividends.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 43 (2007)
Issue (Month): 2 (February)
Pages: 135-152

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Handle: RePEc:eee:mateco:v:43:y:2007:i:2:p:135-152

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Web page: http://www.elsevier.com/locate/jmateco

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  1. 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.
  2. Dana, Rose-Anne & Le Van, Cuong & Magnien, François, 1999. "On the Different Notions of Arbitrage and Existence of Equilibrium," Economics Papers from University Paris Dauphine 123456789/6228, Paris Dauphine University.
  3. 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).
  4. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-18, November.
  5. 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.
  6. 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.
  7. Alexander Konovalov, 2005. "The core of an economy with satiation," Economic Theory, Springer, vol. 25(3), pages 711-719, 04.
  8. Dreze, Jacques H. & Muller, Heinz, 1980. "Optimality properties of rationing schemes," Journal of Economic Theory, Elsevier, vol. 23(2), pages 131-149, October.
  9. 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.
  10. 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.
  11. 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.
  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. Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
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Cited by:
  1. repec:hal:cesptp:halshs-00101189 is not listed on IDEAS
  2. repec:hal:cesptp:halshs-00241543 is not listed on IDEAS
  3. repec:hal:journl:halshs-00598038 is not listed on IDEAS
  4. Nizar Allouch & Cuong Le Van, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Documents de travail du Centre d'Economie de la Sorbonne b08010, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  5. repec:hal:journl:halshs-00241543 is not listed on IDEAS
  6. 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.
  7. 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.

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