IDEAS home Printed from https://ideas.repec.org/p/ags/uwarer/269397.html
   My bibliography  Save this paper

A note on two notions of arbitrage

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/269397/files/twerp623.pdf
    Download Restriction: no
    File URL: https://ageconsearch.umn.edu/record/269397/files/twerp623.pdf?subformat=pdfa
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.269397?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cuong Van & Frank Page & Myrna Wooders, 2007. "Risky arbitrage, asset prices, and externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 475-491, December.
    2. Allouch, Nizar & Le Van, Cuong & Page, Frank H., Jr., 2002. "Arbitrage, Equilibrium, and Nonsatiation," Economic Research Papers 269411, University of Warwick - Department of Economics.
    3. Danilov, Vladimir & Koshovoy, Gleb & Page, Frank & Wooders, Myrna, 2011. "Existence of equilibrium with unbounded short sales: A new approach," MPRA Paper 37778, University Library of Munich, Germany, revised Mar 2012.
    4. Allouch, Nizar & Le Van, Cuong & Page, Frank H., Jr., 2002. "Arbitrage, Equilibrium, and Nonsatiation," Economic Research Papers 269411, University of Warwick - Department of Economics.
    5. Dana, R.A. & Le Van, C., 2010. "Overlapping risk adjusted sets of priors and the existence of efficient allocations and equilibria with short-selling," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2186-2202, November.
    6. Allouch, Nizar, 2001. "A note on two notions of arbitrage," The Warwick Economics Research Paper Series (TWERPS) 623, University of Warwick, Department of Economics.
    7. 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.
    8. Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2006. "Arbitrage and equilibrium in unbounded exchange economies with satiation," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 661-674, September.
    9. Dana, Rose-Anne & Le Van, Cuong & Magnien, Francois, 1999. "On the Different Notions of Arbitrage and Existence of Equilibrium," Journal of Economic Theory, Elsevier, vol. 87(1), pages 169-193, July.
    10. Page, Frank Jr., 1996. "Arbitrage and asset prices," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 183-208, June.
    11. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    12. Rose-Anne Dana, 2011. "Comonotonicity, Efficient Risk-sharing and Equilibria in markets with short-selling for concave law-invariant utilities," Post-Print hal-00655172, HAL.
    13. PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December.
    14. Monteiro, Paulo K. & Page, Frank Jr. & Wooders, Myrna Holtz, 1997. "Arbitrage, equilibrium, and gains from trade: A counterexample," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 481-501, November.
    15. Ha-Huy, Thai & Le Van, Cuong, 2017. "Existence of equilibrium on asset markets with a countably infinite number of states," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 44-53.
    16. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, August.
    17. Le Van, Cuong & Truong Xuan, Duc Ha, 2001. "Asset market equilibrium in Lp spaces with separable utilities," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 241-254, December.
    18. Thai Ha-Huy & Cuong Le Van & Myrna Wooders, 2024. "Existence of Equilibrium in Finite Dimensional Asset Markets," Working Papers hal-04131008, HAL.
    19. 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.
    20. Dana, Rose-Anne & Le Van, Cuong, 2000. "Arbitrage, duality and asset equilibria," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 397-413, November.

    More about this item

    Keywords

    Agricultural and Food Policy; Marketing;

    JEL classification:

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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ags:uwarer:269397. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: AgEcon Search (email available below). General contact details of provider: https://warwick.ac.uk/fac/soc/economics/research/workingpapers/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.