IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/2050.html
   My bibliography  Save this paper

Uniqueness and Stability of Equilibrium in Economies with Two Goods

Author

Listed:

Abstract

We offer new sufficient conditions ensuring demand is downward sloping local to equilibrium. It follows that equilibrium is unique and stable in the sense that rising supply implies falling prices. In our setting, there are two goods, which we interpret as consumption in different time periods, and many impatience types. Agents have the same Bernoulli utility function, but the types differ arbitrarily in time preference. Our main result is that if endowments are identical and utility displays nonincreasing absolute risk aversion, then market demand is strictly downward sloping local to equilibrium. We discuss implications for the Diamond-Dybvig literature.

Suggested Citation

  • John Geanakoplos & Kieran Walsh, 2016. "Uniqueness and Stability of Equilibrium in Economies with Two Goods," Cowles Foundation Discussion Papers 2050, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:2050
    as

    Download full text from publisher

    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d20/d2050.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Havranek, Tomas & Horvath, Roman & Irsova, Zuzana & Rusnak, Marek, 2015. "Cross-country heterogeneity in intertemporal substitution," Journal of International Economics, Elsevier, vol. 96(1), pages 100-118.
    2. Emmanuel Farhi & Mikhail Golosov & Aleh Tsyvinski, 2009. "A Theory of Liquidity and Regulation of Financial Intermediation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 973-992.
    3. Alexis Akira Toda & Kieran James Walsh, 2017. "Edgeworth box economies with multiple equilibria," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 65-80, April.
    4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    5. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
    6. Pierre Yared, 2013. "Public Debt Under Limited Private Credit," Journal of the European Economic Association, European Economic Association, vol. 11(2), pages 229-245, April.
    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. Alexis Akira Toda & Kieran James Walsh, 2017. "Edgeworth box economies with multiple equilibria," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 65-80, April.
    2. John Geanakoplos & Kieran James Walsh, 2018. "Inefficient liquidity provision," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(1), pages 213-233, July.
    3. John Geanakoplos & Kieran James Walsh, 2017. "Inefficient Liquidity Provision," Cowles Foundation Discussion Papers 2077, Cowles Foundation for Research in Economics, Yale University.

    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. Geanakoplos, John & Walsh, Kieran James, 2018. "Uniqueness and stability of equilibrium in economies with two goods," Journal of Economic Theory, Elsevier, vol. 174(C), pages 261-272.
    2. Eduardo Dávila & Ansgar Walther, 2021. "Corrective Regulation with Imperfect Instruments," NBER Working Papers 29160, National Bureau of Economic Research, Inc.
    3. John Geanakoplos & Kieran James Walsh, 2018. "Inefficient liquidity provision," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(1), pages 213-233, July.
    4. Julien Bengui & Javier Bianchi & Louphou Coulibaly, 2019. "Financial Safety Nets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(1), pages 105-132, February.
    5. Cyrinus B. Elegbede & Ludovic A. Julien & Louis Mesnard, 2022. "On preferences and taxation mechanisms in strategic bilateral exchange," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 43-73, March.
    6. Miyake, Mitsunobu, 2016. "Logarithmically homogeneous preferences," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 1-9.
    7. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    8. Quah, John K. -H., 2003. "Market demand and comparative statics when goods are normal," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 317-333, June.
    9. Aad Ruiter, 2020. "Approximating Walrasian Equilibria," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 577-596, February.
    10. Chiappori, P. A. & Ekeland, I., 2004. "Individual excess demands," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 41-57, February.
    11. Kučinskas, Simas, 2016. "When are banks better than markets? Comment on Zimper (2013)," Economics Letters, Elsevier, vol. 147(C), pages 171-173.
    12. Simas Kucinskas, 2015. "Liquidity creation without banks," DNB Working Papers 482, Netherlands Central Bank, Research Department.
    13. Simas Kucinskas, 2015. "Liquidity Creation without Banks," Tinbergen Institute Discussion Papers 15-101/VI, Tinbergen Institute.
    14. John Geanakoplos & Kieran James Walsh, 2017. "Inefficient Liquidity Provision," Cowles Foundation Discussion Papers 2077, Cowles Foundation for Research in Economics, Yale University.
    15. Andrea Loi & Stefano Matta, 2023. "Endowments, patience types, and uniqueness in two-good HARA utility economies," Papers 2308.09347, arXiv.org.
    16. Borys Grochulski & Yuzhe Zhang, 2019. "Optimal liquidity policy with shadow banking," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 967-1015, November.
    17. Giménez, Eduardo L., 2022. "Offer curves and uniqueness of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    18. Won, Dong Chul, 2023. "A new approach to the uniqueness of equilibrium with CRRA preferences," Journal of Economic Theory, Elsevier, vol. 208(C).
    19. Wright, Austin L. & Sonin, Konstantin & Driscoll, Jesse & Wilson, Jarnickae, 2020. "Poverty and economic dislocation reduce compliance with COVID-19 shelter-in-place protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 544-554.
    20. Jolian McHardy & Michael Reynolds & Stephen Trotter, 2012. "The Stackelberg Model as a Partial Solution to the Problem of Pricing in a Network," Working Paper series 19_12, Rimini Centre for Economic Analysis.

    More about this item

    Keywords

    uniqueness of equilibrium; absolute risk aversion; excess demand functions; stability of equilibrium; Diamond-Dybvig models;
    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
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:cwl:cwldpp:2050. 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: Brittany Ladd (email available below). General contact details of provider: https://edirc.repec.org/data/cowleus.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.