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On existence and bubbles of Ramsey equilibrium with borrowing constraints

Author

Listed:
  • Robert Becker

    (Department of Economics, Indiana University - Indiana University [Bloomington] - Indiana University System)

  • Stefano Bosi

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne)

  • Cuong Le Van

    (IPAG Business School, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, 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 des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, VCREME - Van Xuan Center of Research in Economics, Management and Environment)

  • Thomas Seegmuller

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

We study the existence of equilibrium and rational bubbles in a Ramsey model with heterogeneous agents, borrowing constraints and endogenous labor. Applying a Kakutani's fixed-point theorem, we prove the existence of equilibrium in a time-truncated bounded economy. A common argument shows this solution to be an equilibrium for any unbounded economy with the same fundamentals. Taking the limit of a sequence of truncated economies, we eventually obtain the existence of equilibrium in the Ramsey model. In the second part of the paper, we address the issue of rational bubbles and we prove that they never occur in a productive economy à la Ramsey.

Suggested Citation

  • Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2014. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01020635, HAL.
    • Handle: RePEc:hal:cesptp:halshs-01020635
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01020635
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    References listed on IDEAS

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    More about this item

    Keywords

    Existence of equilibrium; borrowing constraint; endogenous labor; heterogeneous agents; Ramsey model; bubbles; modèle de Ramsey; agents hétérogènes; contraintes d'emprunt; travail endogène; Equilibre; bulles;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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