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On the Different Notions of Arbitrage and Existence of Equilibrium

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Author Info
Dana, R.-A.
Le Van, C.
Magnien, F.

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Abstract

In this paper we first prove an equilibrium existe theorem for finite dimensional economies with unbounded below consumption sets. We only assume that the individually rational utility set is compact and use the demand approach instead of the standard Negishi's approach. We next compare the different concepts of no-arbitrage that have been used in the literature and give conditions for equivalence between absence of arbitrage and existence of equilibrium. Lastly, we introduce the concept of strong unbounded arbitrage and show that the absence of strong unbounded arbitrage implies the compactness of the individually rational utility set.

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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Papiers d'Economie Mathématique et Applications with number 1999.34.

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Length: 29 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:fth:pariem:1999.34

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Postal: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France
Web page: http://cermsem.univ-paris1.fr/
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Related research
Keywords: PRICES ; ARBRITATION ; CONSUMPTION;

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Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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  1. Manh-Hung Nguyen & Thai Ha-Huy, 2008. "No unbounded arbitrage, weak no market arbitrage and no arbitrage price system conditions: The circular results," THEMA Working Papers 2008-08, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
    Other versions:
  2. Wassim Daher & V. Martins-da-Rocha & Yiannis Vailakis, 2007. "Asset market equilibrium with short-selling and differential information," Economic Theory, Springer, vol. 32(3), pages 425-446, September. [Downloadable!] (restricted)
    Other versions:
  3. Giacomo Aletti & Vincenzo Capasso, 2003. "Notes and Comments: Profitability in a multiple strategy market," Decisions in Economics and Finance, Springer, vol. 26(2), pages 145-152, November. [Downloadable!] (restricted)
  4. Nizar Allouch, 2003. "A note on two notions of arbitrage," Economics Bulletin, Economics Bulletin, vol. 4(1), pages 1-7. [Downloadable!]
    Other versions:
  5. 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!]
    Other versions:
  6. Cuong Le Van & Nguyen Ba Minh, 2007. "No-arbitrage condition and existence of equilibrium with dividends," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00101177_v1, HAL. [Downloadable!]
  7. 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:
  8. Nizar Allouch, 2000. "Edgeworth and Walras Equilibria of an Arbitrage-Free Exchange Economy," Econometric Society World Congress 2000 Contributed Papers 1901, Econometric Society. [Downloadable!]
    Other versions:
  9. Nizar Allouch & Cuong Le Van & Frank H. Page, 2006. "Arbitrage and equilibrium in unbounded exchange economies with satiation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00096040_v1, HAL. [Downloadable!]
    Other versions:
  10. NGUYEN Manh-Hung & HA-HUY Thai, 2008. "No unbounded arbitrage, weak no market arbitrage and no arbitrage price system conditions; Equivalent conditions," Working Papers 08.23.267, LERNA, University of Toulouse. [Downloadable!]
  11. 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!]
  12. Wassin Daher & V. Filipe Martins-da-Rocha & Yiannis Vailakis, 2005. "Asset market equilibrium with short-selling and differential information," Cahiers de la Maison des Sciences Economiques b05098, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  13. Allouch, Nizar & Van, Cuong Le & Page Jr. Frank H., 2002. "Arbitrage, Equilibrium And Nonsatiation," The Warwick Economics Research Paper Series (TWERPS) 637, University of Warwick, Department of Economics. [Downloadable!]
    Other versions:
  14. Rose-Anne Dana & Cuong Le Van, 2008. "Overlapping sets of priors and the existence ofefficient allocations and equilibria for risk measures," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00308530_v1, HAL. [Downloadable!]
  15. D. Won & G. Hahn & N. Yannelis, 2008. "Capital market equilibrium without riskless assets: heterogeneous expectations," Annals of Finance, Springer, vol. 4(2), pages 183-195, March. [Downloadable!] (restricted)
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