IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2403.13222.html
   My bibliography  Save this paper

On Equilibrium Determinacy in Overlapping Generations Models with Money

Author

Listed:
  • Tomohiro Hirano
  • Alexis Akira Toda

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

  • Tomohiro Hirano & Alexis Akira Toda, 2024. "On Equilibrium Determinacy in Overlapping Generations Models with Money," Papers 2403.13222, arXiv.org.
    • Handle: RePEc:arx:papers:2403.13222
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2403.13222
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    7. Galor, Oded & Ryder, Harl E., 1991. "Dynamic efficiency of steady-state equilibria in an overlapping-generations model with productive capital," Economics Letters, Elsevier, vol. 35(4), pages 385-390, April.
    8. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    9. Ezra Oberfield & Devesh Raval, 2021. "Micro Data and Macro Technology," Econometrica, Econometric Society, vol. 89(2), pages 703-732, March.
    10. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tomohiro Hirano & Alexis Akira Toda, 2023. "Bubble Necessity Theorem," Papers 2305.08268, arXiv.org, revised Apr 2024.
    2. Trenczek, Jan & Wacker, Konstantin M., 2023. "Human Capital Misallocation and Output per Worker Differences: Beyond Cobb-Douglas," GLO Discussion Paper Series 1331, Global Labor Organization (GLO).
    3. Hashimoto, Ken-ichi & Im, Ryonghun & Kunieda, Takuma & Shibata, Akihisa, 2022. "Financial destabilization," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    4. Arthur Jacobs, 2023. "Capitalist-Worker Wealth Distribution in a Task-Based Model of Automation," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 23/1064, Ghent University, Faculty of Economics and Business Administration.
    5. Mark Pingle & Leigh Tesfatsion, 1993. "``Active Intermediation in a Monetary Overlapping Generations Economy''," Macroeconomics 9312001, University Library of Munich, Germany, revised 04 Dec 1993.
    6. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    7. Florentine Schwark & Andreas Tryphonides, 2022. "Digitalization and Resilience to Disaggregate Shocks," University of Cyprus Working Papers in Economics 08-2022, University of Cyprus Department of Economics.
    8. Jacobs, Arthur, 2023. "Capital-augmenting technical change in the context of untapped automation opportunities," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 155-166.
    9. Bellocchi, Alessandro & Travaglini, Giuseppe, 2023. "Can variable elasticity of substitution explain changes in labor shares?," Journal of Macroeconomics, Elsevier, vol. 76(C).
    10. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, August.
    11. Jan Trenczek & Konstantin M. Wacker, 2023. "Accounting for cross-country output differences: A sectoral CES perspective," Working Papers 2023.09, International Network for Economic Research - INFER.
    12. E. Mark Curtis & Daniel G. Garrett & Eric C. Ohrn & Kevin A. Roberts & Juan Carlos Suárez Serrato, 2021. "Capital Investment and Labor Demand," NBER Working Papers 29485, National Bureau of Economic Research, Inc.
    13. Kunieda, Takuma, 2008. "Asset bubbles and borrowing constraints," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 112-131, January.
    14. Franz R. Hahn, 2003. "Fully-Funded Public Old Age Pension Programs – Stranger Than Paradise?," WIFO Working Papers 203, WIFO.
    15. Larch, Martin, 1993. "Dynamically Inefficient Equilibria in the Auerbach-Kotlikoff Model," Empirical Economics, Springer, vol. 18(1), pages 159-172.
    16. Elmendorf, Douglas W. & Gregory Mankiw, N., 1999. "Government debt," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 25, pages 1615-1669, Elsevier.
    17. Kitagawa, Akiomi & Shibata, Akihisa, 2001. "Long gestation in an overlapping generations economy: endogenous cycles and indeterminacy of equilibria," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 99-127, February.
    18. Takuma Kunieda & Akihisa Shibata, 2024. "Insurance against Aggregate Shocks," ISER Discussion Paper 1239, Institute of Social and Economic Research, Osaka University.
    19. Dmitry Kulikov, 2012. "Testing for Rational Speculative Bubbles on the Estonian Stock Market," Research in Economics and Business: Central and Eastern Europe, Tallinn School of Economics and Business Administration, Tallinn University of Technology, vol. 4(1).
    20. Florio, Erminia & Kharazi, Aicha, 2022. "Curtailment of Economic Activity and Labor Inequalities," GLO Discussion Paper Series 1166, Global Labor Organization (GLO).

    More about this item

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2403.13222. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.