IDEAS home Printed from https://ideas.repec.org/p/gua/wpaper/ec200507.html
   My bibliography  Save this paper

Notes on the Suboptimality Result by J. D. Geanakoplos and H. M. Polemarchakis (1986)

Author

Listed:
  • Antonio Jimenez-Martinez

    (Department of Economics and Finance, Universidad de Guanajuato)

Abstract

J. D. Geanakoplos and H. M. Polemarchakis (1986) prove the generic constrained suboptimality of equilibrium allocations in two period economies with incomplete markets. They perturb asset prices at equilibrium when the degree of market incompleteness equals one. However, since prices are not fundamentals that parameterize the economy, a generic result cannot be obtained in such a way. In these notes we provide complete and detailed version of their proof in which the arguments do not depend on the dimension of the market incompleteness and in which utilities and endowments are perturbed.

Suggested Citation

  • Antonio Jimenez-Martinez, 2002. "Notes on the Suboptimality Result by J. D. Geanakoplos and H. M. Polemarchakis (1986)," Department of Economics and Finance Working Papers EC200507, Universidad de Guanajuato, Department of Economics and Finance, revised Dec 2005.
  • Handle: RePEc:gua:wpaper:ec200507
    as

    Download full text from publisher

    File URL: http://economia.ugto.org/WorkingPapers/EC200507.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 495-521.
    2. John Geanakoplos & Heracles M. Polemarchakis, 1985. "Existence, Regularity, and Constrained Suboptimality of Competitive Allocations When the Asset Market Is Incomplete," Cowles Foundation Discussion Papers 764, Cowles Foundation for Research in Economics, Yale University.
    3. Joseph E. Stiglitz, 1982. "The Inefficiency of the Stock Market Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 241-261.
    4. Newbery, David M G & Stiglitz, Joseph E, 1982. "The Choice of Techniques and the Optimality of Market Equilibrium with Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 223-246, April.
    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. Sergio Turner, 2004. "Pareto Improving Taxation in Incomplete Markets," Econometric Society 2004 Latin American Meetings 310, Econometric Society.
    2. Tirelli, Mario & Turner, Sergio, 2010. "A social welfare function characterizing competitive equilibria of incomplete financial markets," Research in Economics, Elsevier, vol. 64(1), pages 58-65, March.
    3. Mendolicchio, C. & Pietra, T., 2019. "A re-examination of constrained Pareto inefficiency in economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 39-55.
    4. Sergio Turner & Norovsambuu Tumennasan, 2006. "Pareto Improving Monetary Policy in Incomplete Markets," Working Papers 2006-04, Brown University, Department of Economics.
    5. Arvaniti, Maria & Carvajal, Andrés, 2018. "Risk externalities: When financial imperfections are not the problem, but part of the solution," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 87-100.
    6. Sergio Turner, 2004. "Pareto Improving Taxation in Incomplete Markets," Econometric Society 2004 North American Summer Meetings 614, Econometric Society.
    7. C. Mendolicchio & T. Pietra, 2021. "Full and constrained Pareto efficiency with incomplete financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 211-234, February.
    8. Mendolicchio, C. & Pietra, T., 2016. "Endowment redistribution and Pareto improvements in GEI economies," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 181-190.
    9. Geanakoplos, John & Polemarchakis, H.M., 2008. "Pareto improving taxes," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 682-696, July.
    10. Anil K. Kashyap & Dimitrios P. Tsomocos & Alexandros P. Vardoulakis, 2014. "How does macroprudential regulation change bank credit supply?," NBER Working Papers 20165, National Bureau of Economic Research, Inc.
    11. Giraud, Gael & Stahn, Hubert, 2003. "Efficiency and imperfect competition with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 559-583, July.
    12. Jean-Marc Bonnisseau & Elena Mercato, 2010. "Externalities, consumption constraints and regular economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 123-147, July.
    13. Gori, Michele & Pireddu, Marina & Villanacci, Antonio, 2013. "Regularity and Pareto improving on financial equilibria with price-dependent borrowing restrictions," Research in Economics, Elsevier, vol. 67(1), pages 100-110.
    14. Ma, Chang, 2020. "Financial stability, growth and macroprudential policy," Journal of International Economics, Elsevier, vol. 122(C).
    15. Piero Gottardi & Rohit Rahi, 2014. "Value Of Information In Competitive Economies With Incomplete Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 57-81, February.
    16. Herakles Polemarchakis, 2001. "The taxation of trades in assests," Working Papers 2001-21, Brown University, Department of Economics.
    17. Alessandro Citanna & Karl Schmedders, 2002. "Controlling Price Volatility Through Financial Innovation," Working Papers hal-00594367, HAL.
    18. Tirelli, Mario, 2008. "Constrained inefficiency in GEI: A geometric argument," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1197-1214, December.
    19. Zierhut, Michael, 2019. "Nonexistence of constrained efficient production plans," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 127-136.
    20. Tirelli Mario & Turner Sergio, 2010. "Quantifying the Cost of Risk in Consumption," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-33, July.

    More about this item

    Keywords

    Incomplete Asset Markets; Constrained Suboptimality; Transversality Theory;
    All these keywords.

    JEL classification:

    • A23 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - Graduate
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D60 - Microeconomics - - Welfare Economics - - - General

    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:gua:wpaper:ec200507. 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: Luis Sanchez Mier (email available below). General contact details of provider: https://edirc.repec.org/data/eeugtmx.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.