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Uniqueness of Markov equilibrium in stochastic OLG models with nonclassical production

Author

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  • Hillebrand, Marten

Abstract

This paper studies Markov Equilibria (ME) corresponding to recursive equilibria on natural state space in the stochastic OLG model extended to include non-additive utility, nonclassical production, and Markovian production shocks. Specifically, we provide sufficient conditions under which the ME in unique. It turns out that uniqueness for a large class of economies and that restrictions either on the consumption side or the production side alone are sufficient to garantuee this result. We also discuss additional properties such as continuity or smoothness of the equilibrium mappings and whether additional recursive or non-recursive euilibria exist.

Suggested Citation

  • Hillebrand, Marten, 2012. "Uniqueness of Markov equilibrium in stochastic OLG models with nonclassical production," Working Paper Series in Economics 46, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    • Handle: RePEc:zbw:kitwps:46
    DOI: 10.5445/IR/1000031128
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    Cited by:

    1. Shi, Lisi & Suen, Richard M. H., 2014. "The Macroeconomic Consequences of Asset Bubbles and Crashes," MPRA Paper 57045, University Library of Munich, Germany.
    2. Martin Barbie & Marten Hillebrand, 2018. "Bubbly Markov equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 627-679, October.
    3. Hillebrand, Marten & Kikuchi, Tomoo, 2015. "A mechanism for booms and busts in housing prices," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 204-217.

    More about this item

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    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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