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


  • Bernard Cornet

    (Department of Economics, The University of Kansas)

  • Mihaela Topuzu

    (CERMSEM, Universite de Paris I)


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.

Suggested Citation

  • Bernard Cornet & Mihaela Topuzu, 2005. "Existence Of Equilibria For Economies With Externalities And A Measure Space Of Consumers," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200505, University of Kansas, Department of Economics, revised Feb 2005.
  • Handle: RePEc:kan:wpaper:200505

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    References listed on IDEAS

    1. Schmeidler, David, 1969. "Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences," Econometrica, Econometric Society, vol. 37(4), pages 578-585, October.
    2. 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.
    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. 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.
    5. Hildenbrand, Werner, 1970. "Existence of Equilibria for Economies with Production and a Measure Space of Consumers," Econometrica, Econometric Society, vol. 38(5), pages 608-623, September.
    6. 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.
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    Cited by:

    1. Jean-Marc Bonnisseau & Elena Mercato, 2010. "Externalities, consumption constraints and regular economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 123-147, July.
    2. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    3. Noguchi, Mitsunori, 2009. "Existence of Nash equilibria in large games," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 168-184, January.
    4. Correia-da-Silva, João & Hervés-Beloso, Carlos, 2008. "Subjective expectations equilibrium in economies with uncertain delivery," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 641-650, July.
    5. Nicholas Yannelis, 2009. "Debreu’s social equilibrium theorem with asymmetric information and a continuum of agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 419-432, February.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Noguchi, Mitsunori, 2006. "Mean consumption representation of consumption externalities," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 301-310, May.

    More about this item


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

    JEL classification:

    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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