IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01275234.html

Existence of equilibrium in OLG economies with increasing returns

Author

Listed:
  • Jean-Marc Bonnisseau

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Lalaina Rakotonindrainy

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

We consider a standard overlapping generations (OLG) economy with a simple demographic structure where a new cohort of agents appears at each period and whose economic activity is extended over two successive periods, and finitely many firms may be active. The production possibilities are described by a sequence of production set-valued mappings and the main innovation comes from the fact that we allow for increasing returns to scale of more general type of non-convexities. To describe the behavior of the firms, we consider loss-free pricing rules, which cover the case of the average pricing rule, the competitive behavior when the firms have convex production sets, and the competitive behavior with quantity constraints à la Dehez–Drèze. We prove the existence of an equilibrium under assumptions, which are at the same level of generality than the ones for the existence in an exchange OLG economy.

Suggested Citation

  • Jean-Marc Bonnisseau & Lalaina Rakotonindrainy, 2017. "Existence of equilibrium in OLG economies with increasing returns," Post-Print hal-01275234, HAL.
    • Handle: RePEc:hal:journl:hal-01275234
    DOI: 10.1007/s00199-016-0955-6
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lalaina Rakotonindrainy, 2014. "Existence of equilibrium in OLG economies with durable goods," Post-Print halshs-01021382, HAL.
    2. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2025. "To Bubble or Not to Bubble: Asset Price Dynamics and Optimality in OLG Economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-05199274, HAL.
    3. Hai Ha Pham & Ngoc-Sang Pham, 2025. "Wariness and Poverty Traps," Papers 2510.14418, arXiv.org.
    4. Pham, Ngoc Sang & Le Van, Cuong & Bosi, Stefano, 2025. "To Bubble or Not to Bubble: Asset Price Dynamics and Optimality in OLG Economies," MPRA Paper 125605, University Library of Munich, Germany.
    5. Ngoc-Sang Pham & Alexis Akira Toda, 2025. "Long-Run Behavior of Equilibrium in Tirole (1985)'s Model with Dividend-Paying Asset," Papers 2501.16560, arXiv.org, revised Jan 2026.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • 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
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

    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:hal:journl:hal-01275234. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.