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Satiation and existence of competitive equilibrium

  • Sato, Norihisa
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    In this paper, we introduce a new assumption concerning the (non)satiation property of preferences and establish the existence of a competitive equilibrium under it. The assumption is weaker than the standard nonsatiation assumption and "weak nonsatiation" introduced by Allouch and Le Van (2008). In particular, it allows preferences to be satiated only inside the set of individually rational feasible consumptions, while the two nonsatiation assumptions do not. It is also worth noting that just like the two nonsatiation assumptions, our new assumption depends solely on the characteristics of consumers.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(10)00028-5
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    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 46 (2010)
    Issue (Month): 4 (July)
    Pages: 534-551

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    Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:534-551
    Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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    1. Dana, Rose-Anne & Le Van, Cuong & Magnien, François, 1996. "On the different notions of arbitrage and existence of equilibrium," CEPREMAP Working Papers (Couverture Orange) 9616, CEPREMAP.
    2. Lars Tyge Nielsen, 1990. "Equilibrium in CAPM Without a Riskless Asset," Review of Economic Studies, Oxford University Press, vol. 57(2), pages 315-324.
    3. repec:ebl:ecbull:v:3:y:2008:i:73:p:1-8 is not listed on IDEAS
    4. Nielsen, Lars Tyge, 1987. " Portfolio Selection in the Mean-Variance Model: A Note," Journal of Finance, American Finance Association, vol. 42(5), pages 1371-76, December.
    5. Lars Tyge Nielsen, 1989. "Asset Market Equilibrium with Short-Selling," Review of Economic Studies, Oxford University Press, vol. 56(3), pages 467-473.
    6. 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.
    7. Nizar Allouch & Cuong Le Van, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00101189, HAL.
    8. repec:dau:papers:123456789/6228 is not listed on IDEAS
    9. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-18, November.
    10. 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.
    11. D. Won & G. Hahn & N. Yannelis, 2008. "Capital market equilibrium without riskless assets: heterogeneous expectations," Annals of Finance, Springer, vol. 4(2), pages 183-195, March.
    12. Geistdoerfer-Florenzano, Monique, 1982. "The gale-nikaido-debreu lemma and the existence of transitive equilibrium with or without the free-disposal assumption," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 113-134, January.
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