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On equilibrium determinacy in overlapping generations models with money

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  • Hirano, Tomohiro
  • Toda, Alexis Akira

Abstract

This paper provides a detailed analysis of the local determinacy of monetary and non-monetary steady states in Tirole (1985)’s classical two-period overlapping generations model with capital and production. We show that the sufficient condition for local determinacy in endowment economies provided by Scheinkman (1980) does not generalize to models with production: there are robust examples with arbitrary utility functions in which the non-monetary steady state is locally determinate or indeterminate. In contrast, the monetary steady state is locally determinate under fairly weak conditions.

Suggested Citation

  • Hirano, Tomohiro & Toda, Alexis Akira, 2024. "On equilibrium determinacy in overlapping generations models with money," Economics Letters, Elsevier, vol. 239(C).
    • Handle: RePEc:eee:ecolet:v:239:y:2024:i:c:s0165176524002428
    DOI: 10.1016/j.econlet.2024.111758
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    References listed on IDEAS

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    1. Santos, Manuel S, 1990. "Existence of Equilibria for Monetary Economies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 783-797, November.
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    6. Shi, Lisi & Suen, Richard M.H., 2014. "Asset bubbles in an overlapping generations model with endogenous labor supply," Economics Letters, Elsevier, vol. 123(2), pages 164-167.
    7. Bose, Amitava & Ray, Debraj, 1993. "Monetary Equilibrium in an Overlapping Generations Model with Productive Capital," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 697-716, October.
    8. Sebastian Gechert & Tomas Havranek & Zuzana Irsova & Dominika Kolcunova, 2022. "Measuring Capital-Labor Substitution: The Importance of Method Choices and Publication Bias," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 55-82, July.
    9. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
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    More about this item

    Keywords

    Local determinacy; Money; Overlapping generations model; Production;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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