IDEAS home Printed from https://ideas.repec.org/a/udc/esteco/v30y2003i2p225-240.html
   My bibliography  Save this article

The equilibrium manifold with boundary constraints on the consumption sets

Author

Listed:
  • Jean-Marc Bonnisseau
  • Jorge Rivera Cayupi

    ()

Abstract

In this paper we consider a class of pure exchange economies in which the consumption plans may be restricted to be above a minimal level. This class is parameterised by the initial endowments and the constraints on the consumption. We show that the demand functions are locally Lipschitzian and almost everywhere continously differentiable even if some constraints may be binding. We then study the equilibrium manifold that is the graph of the correspondence which associates the equilibrium price vectors to the parameters. Using an adapted definition of regularity, we show that: the set of regular economies is open and of full measure; for each regular economy, there exists a finite odd number of equilibria and for each equilibrium price, there exists a local differentiable selection of the equilibrium manifold which selects the given price vector. In the last section, we show that the above results hold true when the constraints are fixed.

Suggested Citation

  • Jean-Marc Bonnisseau & Jorge Rivera Cayupi, 2003. "The equilibrium manifold with boundary constraints on the consumption sets," Estudios de Economia, University of Chile, Department of Economics, vol. 30(2 Year 20), pages 225-240, December.
  • Handle: RePEc:udc:esteco:v:30:y:2003:i:2:p:225-240
    as

    Download full text from publisher

    File URL: http://www.econ.uchile.cl/uploads/publicacion/eca7dd7b-2902-4cb3-80f2-6d088d634730.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    2. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    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. Jean-Marc Bonnisseau & Elena L. del Mercato, 2005. "Competitive equilibria with consumption possibility depending on endowments : a global analysis," Cahiers de la Maison des Sciences Economiques b05085, Université Panthéon-Sorbonne (Paris 1).
    2. del Mercato, Elena L., 2006. "Existence of competitive equilibria with externalities: A differential viewpoint," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 525-543, August.

    More about this item

    Keywords

    Demand function; general equilibrium; regular economies.;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - 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:udc:esteco:v:30:y:2003:i:2:p:225-240. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Verónica Kunze) or (Rebekah McClure). General contact details of provider: http://edirc.repec.org/data/deuclcl.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.