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A note on two notions of arbitrage

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  • Allouch, Nizar

Abstract

Since Hart's [5] and Werner's [10] seminal papers, several conditions have been proposed to show the existence of equilibrium in an asset exchange economy with short-selling. In this note, we discuss the relationship between two no-arbitrage conditions. The ¯rst condition is the assumption that the individually rational utility set U is compact, as considered by Dana, Le Van and Magnien [1]. The second is inconsequential arbitrage, introduced by Page, Wooders and Monteiro [9]. The main result of this comparison is to show that the inconsequential arbitrage condition is stronger than the assumption that U is compact.

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  • Allouch, Nizar, 2001. "A note on two notions of arbitrage," Economic Research Papers 269397, University of Warwick - Department of Economics.
    • Handle: RePEc:ags:uwarer:269397
    DOI: 10.22004/ag.econ.269397
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    References listed on IDEAS

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    1. Grandmont, Jean-Michel, 1993. "Temporary general equilibrium theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 19, pages 879-922, Elsevier.
    2. Milne, Frank, 1980. "Short-Selling, Default Risk and the Existence of Equilibrium in a Securities Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(2), pages 255-267, June.
    3. PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December.
    4. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-1418, November.
    5. Allouch, Nizar, 2002. "An equilibrium existence result with short selling," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 81-94, April.
    6. 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.
    7. Green, Jerry R, 1973. "Temporary General Equilibrium in a Sequential Trading Model with Spot and Futures Transactions," Econometrica, Econometric Society, vol. 41(6), pages 1103-1123, November.
    8. Page, Frank Jr., 1996. "Arbitrage and asset prices," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 183-208, June.
    9. 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.
    10. Lars Tyge Nielsen, 1989. "Asset Market Equilibrium with Short-Selling," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 467-473.
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    Cited by:

    1. Ha-Huy, Thai & Le Van, Cuong & Tran-Viet, Cuong, 2018. "Arbitrage and equilibrium in economies with short-selling and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 95-100.

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    More about this item

    Keywords

    Agricultural and Food Policy; Marketing;

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • G0 - Financial Economics - - General

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