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Arbitrage and Equilibrium in Economies with Externalities

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Author Info
Le Van, C.
Page, F.H.Jr.
Wooders, M.

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Abstract

We introduce consumption externalities into a general equilibrium model with arbitrary consumption sets. To treat the problem of existence of equilibrium, a condition of no unbounded arbitrage, extending the condition of Page (1987) and Page and Wooders (1993, 1996) is defined. It is proven that this condition is sufficient for the existence of an equilibrium and both necessary and sufficient for compactness of the set of rational allocations.

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File URL: http://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/publications/twerp588.pdf
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Publisher Info
Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 588.

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Length: 15 pages
Date of creation: 2001
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Handle: RePEc:wrk:warwec:588

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Related research
Keywords: CONSUMPTION ; EXTERNALITIES ; ARBITRAGE;

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Find related papers by JEL classification:
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Page Jr., Frank H. & Wooders, Myrna Holtz, 1996. "A necessary and sufficient condition for the compactness of individually rational and feasible outcomes and the existence of an equilibrium," Economics Letters, Elsevier, vol. 52(2), pages 153-162, August. [Downloadable!] (restricted)
  2. Borglin, Anders & Keiding, Hans, 1976. "Existence of equilibrium actions and of equilibrium : A note on the `new' existence theorems," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 313-316, December. [Downloadable!] (restricted)
  3. Dana, R.-A. & Le Van, C. & Magnien, F., 1999. "On the Different Notions of Arbitrage and Existence of Equilibrium," Papiers d'Economie Mathématique et Applications 1999.34, Université Panthéon-Sorbonne (Paris 1).
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  4. PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December. [Downloadable!] (restricted)
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  5. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December. [Downloadable!] (restricted)
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  6. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-18, November. [Downloadable!] (restricted)
  7. Page, F.H.Jr. & Wooders, M.H., 1994. "Arbitrage in Markets with Unbounded Short Sales: Necessary and Sufficient Conditions for Nonemptiness of the Core and Existence of Equilibrium," UFAE and IAE Working Papers 271.94, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  8. Hammond, Peter J., 1983. "Overlapping expectations and Hart's conditions for equilibrium in a securities model," Journal of Economic Theory, Elsevier, vol. 31(1), pages 170-175, October. [Downloadable!] (restricted)
  9. Nielsen, Lars Tyge, 1989. "Asset Market Equilibrium with Short-Selling," Review of Economic Studies, Blackwell Publishing, vol. 56(3), pages 467-73, July. [Downloadable!] (restricted)
  10. Page, Frank Jr., 1987. "On equilibrium in Hart's securities exchange model," Journal of Economic Theory, Elsevier, vol. 41(2), pages 392-404, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Cuong Le Van & Frank H. Page, Jr. & Myrna Wooders, 2005. "Risky Arbitage, Asset Prices, and Externalities," Working Papers 0524, Department of Economics, Vanderbilt University. [Downloadable!]
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  2. Martins-da-Rocha, V. F. & Monteiro, Paulo Klinger, 2007. "Unbounded exchange economies with satiation: how far can we go?," Economics Working Papers (Ensaios Economicos da EPGE) 646, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
    Other versions:
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