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Regularity And Stability Of Equilibria In An Overlapping Generations Growth Model

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In an exogenous-growth economy with overlapping generations we analyse local stability of a balanced growth equilibrium with respect to changes in consumption endowments, which could be interpreted as a transfer policy. We show that generically, in the space of parameters, equilibria around BGE are locally unique and are locally differentiable functions of endowments, with derivatives given by kernels. Further, those equilibria are stable in the sense that the effects of temporary changes decay exponentially towards plus and minus infinity.

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  • Mertens, Jean-Francois & Rubinchik, Anna, "undated". "Regularity And Stability Of Equilibria In An Overlapping Generations Growth Model," Working Papers WP2014/2, University of Haifa, Department of Economics.
  • Handle: RePEc:haf:huedwp:wp201402
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    7. MERTENS, Jean-François & RUBINCHIK, Anna, 2009. "Regularity and stability of equilibria in an overlapping generations model with exogenous growth," LIDAM Discussion Papers CORE 2009005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Jean-François Mertens & Anna Rubinchik, 2017. "Discounting and welfare evaluation of policies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(5), pages 903-920, October.
    2. Gorokhovsky, Alexander & Rubinchik, Anna, 2022. "Necessary and sufficient conditions for determinacy of asymptotically stationary equilibria in OLG models," Journal of Economic Theory, Elsevier, vol. 204(C).
    3. Mertens, Jean-François & Rubinchik, Anna, 2014. "Essential properties of Lp,q spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 187-196.
    4. Gorokhovsky, Alexander & Rubinchik, Anna, 2018. "Regularity of a general equilibrium in a model with infinite past and future," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 35-45.

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    More about this item

    Keywords

    Regularity of Infinite Economies; Policy Evaluation; Overlapping Generations;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • H43 - Public Economics - - Publicly Provided Goods - - - Project Evaluation; Social Discount Rate

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