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Equilibrium and Bounded Arbitrage

Author

Listed:
  • Allouch, N.

Abstract

We provide a proof of the existence of a (quasi-)equilibrium in an exchange economy with short selling when the preference relations of the investors are represented by a partial preorder, a setting which encompasses the case of preference relations derived from a utility function. A second purpose of this paper is to compare our Weak Bounded Arbitrage condition with some other concepts which can be found in the literature.

Suggested Citation

  • Allouch, N., 2000. "Equilibrium and Bounded Arbitrage," Papiers d'Economie Mathématique et Applications 2000.78, Université Panthéon-Sorbonne (Paris 1).
  • Handle: RePEc:fth:pariem:2000.78
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    Citations

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    Cited by:

    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.
    2. Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2002. "The geometry of arbitrage and the existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 373-391, December.
    3. 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.

    More about this item

    Keywords

    UTILITY FUNCTION ; ARBITRAGE ; INVESTMENTS;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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