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Risky Arbitage, Asset Prices, and Externalities

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Author Info
Cuong Le Van () (CNRS, CERMSEM, University of Paris 1)
Frank H. Page, Jr. () (Department of Finance, University of Alabama)
Myrna Wooders () (Department of Economics, Vanderbilt University)

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Abstract

We introduce a no-risky-arbitrage price (NRAP) condition for asset market models allowing both unbounded short sales and externalities such as trading volume. We then demonstrate that the NRAP condition is sufficient for the existence of competitive equilibrium in the presence of externalities. Moreover, we show that if all risky arbitrages are utility increasing, then the NRAP condition characterizes competitive equilibrium in the presence of externalities.

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File URL: http://www.vanderbilt.edu/Econ/wparchive/workpaper/vu05-w24.pdf
File Format: application/pdf
File Function: First version, 2005
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Publisher Info
Paper provided by Department of Economics, Vanderbilt University in its series Working Papers with number 0524.

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Date of creation: Sep 2005
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Handle: RePEc:van:wpaper:0524

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Related research
Keywords: Risky arbitrage; competitive equilibria; viable asset prices;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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  1. Le Van, C. & Page, F.H.Jr. & Wooders, M., 2001. "Arbitrage and Equilibrium in Economies with Externalities," The Warwick Economics Research Paper Series (TWERPS) 588, University of Warwick, Department of Economics. [Downloadable!]
  2. Brown,Donald & Werner,Jan, 1991. "Arbitrage and existence of equilibrium in infinite asset markets," Discussion Paper Serie A 344, University of Bonn, Germany.
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  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).
    Other versions:
  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. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-18, November. [Downloadable!] (restricted)
  6. Allouch, Nizar, 2002. "An equilibrium existence result with short selling," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 81-94, April. [Downloadable!] (restricted)
  7. Hart, Oliver D., 1974. "On the existence of equilibrium in a securities model," Journal of Economic Theory, Elsevier, vol. 9(3), pages 293-311, November. [Downloadable!] (restricted)
  8. Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne. [Downloadable!]
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  9. Grandmont, Jean-Michel, 1977. "Temporary General Equilibrium Theory," Econometrica, Econometric Society, vol. 45(3), pages 535-72, April. [Downloadable!] (restricted)
  10. Green, Jerry R, 1973. "Temporary General Equilibrium in a Sequential Trading Model with Spot and Futures Transactions," Econometrica, Econometric Society, vol. 41(6), pages 1103-23, November. [Downloadable!] (restricted)
  11. Bonnisseau, J.M., 1995. "Existence of Equilibria in Economies with Externalities and Non Convexities," Papiers d'Economie Mathématique et Applications 95.45, Université Panthéon-Sorbonne (Paris 1).
  12. Kreps, David M., 1981. "Arbitrage and equilibrium in economies with infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 15-35, March. [Downloadable!] (restricted)
  13. Bonnisseau, Jean-Marc & Cornet, Bernard, 1990. "Existence of Marginal Cost Pricing Equilibria in Economies with Several Nonconvex Firms," Econometrica, Econometric Society, vol. 58(3), pages 661-82, May. [Downloadable!] (restricted)
  14. 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)
  15. Bonnisseau, J.M. & Medecin, J.-P., 2000. "Existence of Marginal Pricing Equilibria in Economies with Externalities and Non Convexities," Papiers d'Economie Mathématique et Applications 2000.84, Université Panthéon-Sorbonne (Paris 1).
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  16. 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)
  17. 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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