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Fundamental Non-convexity and Externalities: A Differentiable Approach

Author

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  • Ericson Richard E.
  • Kung Fan-chin

    (Department of Economics, East Carolina University, 10th Street, Greenville, NC 27858, USA)

Abstract

It is well known that externalities cause fundamental non-convexity problems in the production set. We demonstrate that the differentiable approach is a proper tool. Existence of equilibrium obtains without requiring aggregate convexity in consumption or production. Our model allows general externalities in consumption and production and also price dependency.

Suggested Citation

  • Ericson Richard E. & Kung Fan-chin, 2015. "Fundamental Non-convexity and Externalities: A Differentiable Approach," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 15(1), pages 1-14, January.
  • Handle: RePEc:bpj:bejtec:v:15:y:2015:i:1:p:14:n:2
    DOI: 10.1515/bejte-2013-0065
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    References listed on IDEAS

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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, January.
    2. del Mercato, Elena L., 2006. "Existence of competitive equilibria with externalities: A differential viewpoint," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 525-543, August.
    3. 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.
    4. Geanakoplos, John & Shafer, Wayne, 1990. "Solving systems of simultaneous equations in economics," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 69-93.
    5. Berliant, Marcus & Kung, Fan-chin, 2006. "The indeterminacy of equilibrium city formation under monopolistic competition and increasing returns," Journal of Economic Theory, Elsevier, vol. 131(1), pages 101-133, November.
    6. Bernard Cornet & Mihaela Topuzu, 2005. "Existence of equilibria for economies with externalities and a measure space of consumers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 397-421, August.
    7. 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.
    8. Polemarchakis, H. M. & Siconolfi, P., 1997. "Generic existence of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 28(3), pages 289-311, October.
    9. Kaneko, Mamoru & Wooders, Myrna Holtz, 1989. "The core of a continuum economy with widespread externalities and finite coalitions: From finite to continuum economies," Journal of Economic Theory, Elsevier, vol. 49(1), pages 135-168, October.
    10. Boyd, John III & Conley, John P., 1997. "Fundamental Nonconvexities in Arrovian Markets and a Coasian Solution to the Problem of Externalities," Journal of Economic Theory, Elsevier, vol. 72(2), pages 388-407, February.
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    Cited by:

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