IDEAS home Printed from https://ideas.repec.org/a/eee/reecon/v66y2012i4p371-374.html
   My bibliography  Save this article

On the boundary behavior of the excess demand function

Author

Listed:
  • Ruscitti, Francesco

Abstract

I revisit thoroughly the standard boundary behavior satisfied by the excess demand function of a competitive economy, and I prove two implications of the boundary behavior. Then, I show that these implications lead to an alternative proof of the existence of competitive equilibria which is instructive, shorter and perhaps easier than the available proofs in the literature.

Suggested Citation

  • Ruscitti, Francesco, 2012. "On the boundary behavior of the excess demand function," Research in Economics, Elsevier, vol. 66(4), pages 371-374.
  • Handle: RePEc:eee:reecon:v:66:y:2012:i:4:p:371-374
    DOI: 10.1016/j.rie.2012.05.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S109094431200021X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.rie.2012.05.001?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Aliprantis, Charalambos D. & Brown, Donald J., 1983. "Equilibria in markets with a Riesz space of commodities," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 189-207, April.
    2. Quah, John K.-H., 2008. "The existence of equilibrium when excess demand obeys the weak axiom," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 337-343, February.
    3. Mackowiak, Piotr, 2010. "The existence of equilibrium without fixed-point arguments," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1194-1199, November.
    4. Frayssé, Jean, 2009. "A simple proof of the existence of an equilibrium when the weak axiom holds," Journal of Mathematical Economics, Elsevier, vol. 45(11), pages 767-769, December.
    5. Husseinov, Farhad, 1999. "Boundary Behavior of Excess Demand and Existence of Equilibrium," Journal of Economic Theory, Elsevier, vol. 87(2), pages 434-449, August.
    6. Yannelis, Nicholas C. & Prabhakar, N. D., 1983. "Existence of maximal elements and equilibria in linear topological spaces," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 233-245, December.
    7. Tian, Guoqiang, 1994. "Generalized KKM theorem, minimax inequalities and their applications," MPRA Paper 41217, University Library of Munich, Germany.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    9. Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-1418, November.
    10. Neuefeind, Wilhelm, 1980. "Notes on Existence of Equilibrium Proofs and the Boundary Behavior of Supply," Econometrica, Econometric Society, vol. 48(7), pages 1831-1837, November.
    11. 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.
    12. John Geanakoplos, 2003. "Nash and Walras equilibrium via Brouwer," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 585-603, March.
    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. Simone Tonin, 2018. "Existence of Equilibrium Prices: A Pedagogical Proof," Papers 1808.03129, arXiv.org, revised Sep 2018.

    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. Guoqiang Tian, 2016. "On the existence of price equilibrium in economies with excess demand functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 5-16, April.
    2. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    3. Simone Tonin, 2018. "Existence of Equilibrium Prices: A Pedagogical Proof," Papers 1808.03129, arXiv.org, revised Sep 2018.
    4. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, January.
    5. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    6. D’Agata, Antonio, 2022. "Walrasian equilibrium without homogeneity and Walras’ Law," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 68-75.
    7. Mackowiak, Piotr, 2010. "The existence of equilibrium without fixed-point arguments," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1194-1199, November.
    8. Hara, Chiaki, 2005. "Bargaining set and anonymous core without the monotonicity assumption," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 545-556, August.
    9. Thai Ha-Huy & Cuong Le Van & Frank Page & Myrna Wooders, 2017. "No-arbitrage and Equilibrium in Finite Dimension: A General Result," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01529663, HAL.
    10. Allouch, Nizar & Le Van, Cuong & Page, Frank H., Jr., 2002. "Arbitrage, Equilibrium, and Nonsatiation," Economic Research Papers 269411, University of Warwick - Department of Economics.
    11. Allouch, Nizar, 2001. "A note on two notions of arbitrage," The Warwick Economics Research Paper Series (TWERPS) 623, University of Warwick, Department of Economics.
    12. Aliprantis, Charalambos D. & Tourky, Rabee & Yannelis, Nicholas C., 2001. "A Theory of Value with Non-linear Prices: Equilibrium Analysis beyond Vector Lattices," Journal of Economic Theory, Elsevier, vol. 100(1), pages 22-72, September.
    13. Nizar Allouch, 2003. "A note on two notions of arbitrage," Economics Bulletin, AccessEcon, vol. 4(1), pages 1-7.
    14. Dana, Rose-Anne & Le Van, Cuong, 2000. "Arbitrage, duality and asset equilibria," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 397-413, November.
    15. 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.
    16. repec:dau:papers:123456789/5374 is not listed on IDEAS
    17. 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.
    18. 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.
    19. PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December.
    20. Gourdel, Pascal & Le Van, Cuong & Pham, Ngoc-Sang & Tran Viet, Cuong, 2023. "Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems," MPRA Paper 116541, University Library of Munich, Germany.
    21. Rose-Anne Dana & Cuong Le Van, 2007. "Overlapping sets of priors and the existence of efficient allocations and equilibria for risk measures," Post-Print halshs-00188761, HAL.

    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:eee:reecon:v:66:y:2012:i:4:p:371-374. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622941 .

    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.