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Uniqueness of Steady States in Models with Overlapping Generations

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  • Felix Kubler
  • Karl Schmedders

Abstract

In this paper we examine the likelihood of multiple real steady states in deterministic exchange economies with overlapping generations. There is a single good and a single agent per generation with constant relative risk aversion expected utility. In order to test for multiple equilibria we employ methods from computational algebraic geometry. In our examples, we find that multiplicity becomes less likely as the life span of agents increases but becomes more likely as the coefficient of risk aversion increases. For moderate values of risk aversion, multiplicity is very unlikely when agents live for five or more periods. (JEL: C61, C63, D50, D58) (c) 2010 by the European Economic Association.

Suggested Citation

  • Felix Kubler & Karl Schmedders, 2010. "Uniqueness of Steady States in Models with Overlapping Generations," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 635-644, 04-05.
  • Handle: RePEc:tpr:jeurec:v:8:y:2010:i:2-3:p:635-644
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    Cited by:

    1. repec:eee:dyncon:v:84:y:2017:i:c:p:77-90 is not listed on IDEAS
    2. Toda, Alexis Akira, 2017. "Huggett economies with multiple stationary equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 84(C), pages 77-90.
    3. Orrego, Fabrizio, 2011. "Demografía y precios de activos," Revista Estudios Económicos, Banco Central de Reserva del Perú, issue 22, pages 83-101.
    4. Zhigang Feng, 2013. "Tackling indeterminacy in overlapping generations models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(3), pages 445-457, June.
    5. repec:spr:compst:v:77:y:2013:i:3:p:445-457 is not listed on IDEAS

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

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