IDEAS home Printed from https://ideas.repec.org/a/kea/keappr/ker-20091231-25-2-07.html
   My bibliography  Save this article

Satiation and Equilibrium in Unbounded Exchange Economies

Author

Listed:
  • Guangsug Hahn

    (POSTECH)

  • Dong Chul Won

    (Ajou University)

Abstract

We show the existence of equilibrium in an economy where preferences may be non-ordered, satiated, and consumption sets need not be bounded from below. Satiation is allowed to occur inside the set of attainable and individually rational allocations. The paper provides a unified approach to the classical general equilibrium theory with non-ordered preferences, the arbitrage-based literature with unbounded choice sets, and the asset pricing models with satiated preferences.

Suggested Citation

  • Guangsug Hahn & Dong Chul Won, 2009. "Satiation and Equilibrium in Unbounded Exchange Economies," Korean Economic Review, Korean Economic Association, vol. 25, pages 349-366.
  • Handle: RePEc:kea:keappr:ker-20091231-25-2-07
    as

    Download full text from publisher

    File URL: http://keapaper.kea.ne.kr/RePEc/kea/keappr/KER-20091231-25-2-07.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kajii, Atsushi, 1996. "How to discard non-satiation and free-disposal with paper money," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 75-84.
    2. Ellickson,Bryan, 1994. "Competitive Equilibrium," Cambridge Books, Cambridge University Press, number 9780521319881, September.
    3. Allouch, Nizar & Le Van, Cuong, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 907-918, September.
    4. Andreu Mas-Colell, 1992. "Equilibrium Theory with Possibly Satiated Preferences," Palgrave Macmillan Books, in: Mukul Majumdar (ed.), Equilibrium and Dynamics, chapter 9, pages 201-213, Palgrave Macmillan.
    5. Allingham, Michael, 1991. "Existence Theorems in the Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 59(4), pages 1169-1174, July.
    6. Allouch, Nizar, 2002. "An equilibrium existence result with short selling," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 81-94, April.
    7. Allouch, Nizar & Le Van, Cuong, 2009. "Erratum to "Walras and dividends equilibrium with possibly satiated consumers"," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 320-328, March.
    8. Chichilnisky, Graciela, 1995. "Limited Arbitrage Is Necessary and Sufficient for the Existence of a Competitive Equilibrium with or without Short Sales," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 79-108, January.
    9. Jarrow, Robert A, 1980. "Heterogeneous Expectations, Restrictions on Short Sales, and Equilibrium Asset Prices," Journal of Finance, American Finance Association, vol. 35(5), pages 1105-1113, December.
    10. 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.
    11. Martins-da-Rocha, V. Filipe & Monteiro, Paulo K., 2009. "Unbounded exchange economies with satiation: How far can we go?," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 465-478, July.
    12. Allouch, Nizar & Le Van, Cuong, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 907-918, September.
    13. Nielsen, Lars Tyge, 1987. "Portfolio Selection in the Mean-Variance Model: A Note," Journal of Finance, American Finance Association, vol. 42(5), pages 1371-1376, December.
    Full references (including those not matched with items on IDEAS)

    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. Won, Dong Chul & Yannelis, Nicholas C., 2011. "Equilibrium theory with satiable and non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 245-250, March.
    2. Sato Norihisa, 2010. "Existence of Competitive Equilibrium in Unbounded Exchange Economies with Satiation: A Note," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-22, July.
    3. 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.
    4. Miyazaki, Kentaro & 宮崎, 健太郎 & Takekuma, Shin-Ichi & 武隈, 愼一, 2012. "On the existence of Walras equilibrium in irreducible economies with satiable and non-ordered preferences," Discussion Papers 2012-05, Graduate School of Economics, Hitotsubashi University.
    5. Won, Dong Chul & Yannelis, Nicholas C., 2008. "Equilibrium theory with unbounded consumption sets and non-ordered preferences: Part I. Non-satiation," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1266-1283, December.
    6. Sato, Norihisa, 2010. "Satiation and existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 534-551, July.
    7. Martins-da-Rocha, V. Filipe & Monteiro, Paulo K., 2009. "Unbounded exchange economies with satiation: How far can we go?," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 465-478, July.
    8. Miyazaki, Kentaro & 宮崎, 健太郎 & Takekuma, Shin-Ichi & 武隈, 愼一, 2013. "A note on the existence of Walras equilibrium in irreducible economies with satiable and non-ordered preferences," Discussion Papers 2013-14, Graduate School of Economics, Hitotsubashi University.
    9. Nizar Allouch & Monique Florenzano, 2012. "Fuzzy Rejective Core of Satiated Economies with Unbounded Consumption Sets," Working Papers 690, Queen Mary University of London, School of Economics and Finance.
    10. Allouch, Nizar & Florenzano, Monique, 2013. "Edgeworth rejective core and dividends equilibria of satiated exchange economies," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 1-6.
    11. Nizar Allouch & Monique Florenzano, 2011. "Satiated economies with unbounded consumption sets : fuzzy core and equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00598038, HAL.
    12. repec:ebl:ecbull:v:3:y:2008:i:73:p:1-8 is not listed on IDEAS
    13. 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.
    14. Norihisa Sato, 2008. "Some sufficient conditions for the existence of a competitive equilibrium in economies with satiated consumers," Economics Bulletin, AccessEcon, vol. 3(73), pages 1-8.
    15. Konovalov, A., 1998. "Core Equivalence in Economies With Satiation," Other publications TiSEM bde29dd4-b328-48b4-8fb4-6, Tilburg University, School of Economics and Management.
    16. 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.
    17. Nizar Allouch & Monique Florenzano, 2004. "Edgeworth and Walras equilibria of an arbitrage-free exchange economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 353-370, January.
    18. Allouch, Nizar & Le Van, Cuong, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 907-918, September.
    19. Konovalov, A., 1998. "Core Equivalence in Economies With Satiation," Discussion Paper 1998-80, Tilburg University, Center for Economic Research.
    20. Jun Tong & Jian-Qiang Hu & Jiaqiao Hu, 2017. "A Computational Algorithm for Equilibrium Asset Pricing Under Heterogeneous Information and Short-Sale Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(05), pages 1-16, October.
    21. Jorge Rivera & Michael Florig, 2004. "Indivisible Goods and Fiat Money," Econometric Society 2004 Latin American Meetings 167, Econometric Society.

    More about this item

    Keywords

    Short-Selling; Satiation; Non-Ordered Preferences; Arbitrage; Competitive Equilibrium; CAPM;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:kea:keappr:ker-20091231-25-2-07. 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: KEA (email available below). General contact details of provider: https://edirc.repec.org/data/keaaaea.html .

    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.