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Walras and dividends equilibrium with possibly satiated consumers

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Abstract

The main contribution of the paper is to provide a weaker non-satiation assumption than the one commonly used in the literature to ensure the existence of competitive equilibrium. Our assumption allows for satiation points in the set of individually feasible consumptions, provided that the consumer has satiation points available to him outside this set. As a result, we show the concept of equilibrium with dividends (See Aumann and Dreze (1986), Mas-Collel (1992)) is pertinent only when the set of satiation points is included in the set of individually feasible consumptions. Our economic motivation stems from the fact that in decentralized markets, increasing the incomes of consumers through dividends, if it is possible, is costly since it involves the intervention of social planner. Then, we show, in particular, how in securities markets our weak nonsatiation assumption is satisfied by Werner's (1987) assumption

Suggested Citation

  • 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.
    • Handle: RePEc:mse:cesdoc:b08010
    DOI: 10.1016/j.jmateco.2006.09.005
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    File URL: https://doi.org/10.1016/j.jmateco.2006.09.005
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    Cited by:

    1. 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.
    2. Won, Dong Chul & Yannelis, Nicholas C., 2008. "Equilibrium theory with unbounded consumption sets and non-ordered preferences: Part I. Non-satiation," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1266-1283, December.
    3. Miyazaki, Kentaro & 宮崎, 健太郎 & Takekuma, Shin-Ichi & 武隈, 愼一, 2012. "On the existence of Walras equilibrium in irreducible economies with satiable and non-ordered preferences," Discussion Papers 2012-05, Graduate School of Economics, Hitotsubashi University.
    4. Battauz, Anna & De Donno, Marzia & Ortu, Fulvio, 2011. "Intertemporal asset pricing and the marginal utility of wealth," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 227-244, March.
    5. Guangsug Hahn & Dong Chul Won, 2009. "Satiation and Equilibrium in Unbounded Exchange Economies," Korean Economic Review, Korean Economic Association, vol. 25, pages 349-366.
    6. Norihisa Sato, 2008. "Some sufficient conditions for the existence of a competitive equilibrium in economies with satiated consumers," Economics Bulletin, AccessEcon, vol. 3(73), pages 1-8.
    7. repec:ebl:ecbull:v:3:y:2008:i:73:p:1-8 is not listed on IDEAS
    8. 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.
    9. Sato Norihisa, 2010. "Existence of Competitive Equilibrium in Unbounded Exchange Economies with Satiation: A Note," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-22, July.
    10. Sato, Norihisa, 2010. "Satiation and existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 534-551, July.

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    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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