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Existence Of Equilibria For Economies With Externalities And A Measure Space Of Consumers

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  • Bernard Cornet

    (Department of Economics, The University of Kansas)

  • Mihaela Topuzu

    (CERMSEM, Universite de Paris I)

Abstract

This paper considers an exchange economy with a measure space of agents and consumption externalities, which take into account two possible external e ects in consumers¡¯ preferences: the dependence upon prices and other agents¡¯ consumptions, respectively, as in Greenberg et al. [12] and Khan and Vohra [15] (see also Balder [4] for a general discussion). This allows to cover a general model of reference coalitions externalities, in which the agents¡¯ preferences are influenced by the global (or the mean) consumption of the agents in the finitely many reference coalitions. Our paper provides a general existence theorem of equilibria that extends previous results by Schmeidler [21], in the case of fixed reference coalitions and Noguchi [17], for a more particular concept of reference coalitions.

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Bibliographic Info

Paper provided by University of Kansas, Department of Economics in its series WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS with number 200505.

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Length: 24 pages
Date of creation: Feb 2005
Date of revision: Feb 2005
Handle: RePEc:kan:wpaper:200505

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Keywords: Externalities; Reference coalitions; Measure space of agents; Equilibrium.;

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  1. Khan, M. Ali & Vohra, Rajiv, 1984. "Equilibrium in abstract economies without ordered preferences and with a measure space of agents," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 133-142, October.
  2. SCHMEIDLER, David, . "Competitive equilibria in markets with a continuum of traders and incomplete preferences," CORE Discussion Papers RP -62, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
  4. Greenberg, Joseph & Shitovitz, Benyamin & Wieczorek, Andrzej, 1979. "Existence of equilibria in atomless production economies with price dependent preferences," Journal of Mathematical Economics, Elsevier, vol. 6(1), pages 31-41, March.
  5. Balder, Erik J., 2000. "Incompatibility of Usual Conditions for Equilibrium Existence in Continuum Economies without Ordered Preferences," Journal of Economic Theory, Elsevier, vol. 93(1), pages 110-117, July.
  6. Hildenbrand, Werner, 1970. "Existence of Equilibria for Economies with Production and a Measure Space of Consumers," Econometrica, Econometric Society, vol. 38(5), pages 608-23, September.
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Citations

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Cited by:
  1. Khan, M. Ali Khan, 2007. "Perfect Competition," MPRA Paper 2202, University Library of Munich, Germany.
  2. Jean-Marc Bonnisseau & Elena L. del Mercato, 2008. "Externalities, Consumption Constraints and Regular Economies," CSEF Working Papers 195, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 01 Dec 2009.
  3. Sebastián Cea-Echenique & Carlos Hervés-Beloso & Juan Pablo Torres-Martínez, 2012. "Endogenous Information: The Role of Sequential Trade and Financial Participation," Working Papers wp361, University of Chile, Department of Economics.
  4. Noguchi, Mitsunori, 2006. "Mean consumption representation of consumption externalities," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 301-310, May.
  5. M Ali Khan, 2007. "Perfect Competition," Microeconomics Working Papers 22207, East Asian Bureau of Economic Research.
  6. Joao Correia-da-Silva & Carlos Hervés-Beloso, 2005. "Subjective Expectations Equilibrium in Economies with Uncertain Delivery," FEP Working Papers 190, Universidade do Porto, Faculdade de Economia do Porto.
  7. Nicholas Yannelis, 2009. "Debreu’s social equilibrium theorem with asymmetric information and a continuum of agents," Economic Theory, Springer, vol. 38(2), pages 419-432, February.
  8. Kung, Fan-chin, 2008. "Voluntary contributions to multiple public goods in a production economy with widespread externalities," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1364-1378, December.
  9. Balder, Erik J., 2008. "More on equilibria in competitive markets with externalities and a continuum of agents," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 575-602, July.
  10. Noguchi, Mitsunori, 2009. "Existence of Nash equilibria in large games," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 168-184, January.
  11. Noguchi, Mitsunori, 2009. "Price-dependent consumption externalities and non-existence of equilibria," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 205-211, March.

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