[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/isu/genstf/201001010800001106.html
   My bibliography  Save this paper

Resurrecting equilibria through cycles in an overlapping generations model of money

Author

Listed:
  • Barnett, Richard C.
  • Bhattacharya, Joydeep
  • Bunzel, Helle
Abstract
Momentary equilibria are defined as points that satisfy agents’ optimality conditions and market clearing at any date. However, some dynamic sequences commencing from such points may not be considered valid equilibria because they asymptotically violate some economic restriction of the model. This paper studies a pure-exchange monetary overlapping generations economy in which young and old agents face exogenous minimum consumption requirements, and money is the only asset. The presence of the minimum consumption requirement on the old is shown to produce multiperiodic monetary equilibria in which real balances cycle forever between “momentary” equilibrium points (those which generate monetary sequences that potentially violate equilibrium strictures asymptotically). The novelty is to show that segments of the intergenerational offer curve that would have been deemed dynamically invalid can, in fact, be used to produce asymptotically valid cyclical paths. Indeed, a limit cycle can bestow dynamic validity on momentary equilibrium points that had erstwhile been classified as dynamically invalid.

Suggested Citation

  • Barnett, Richard C. & Bhattacharya, Joydeep & Bunzel, Helle, 2010. "Resurrecting equilibria through cycles in an overlapping generations model of money," ISU General Staff Papers 201001010800001106, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genstf:201001010800001106
    as

    Download full text from publisher

    File URL: https://dr.lib.iastate.edu/server/api/core/bitstreams/1323f5a4-4b9d-4897-b994-1d0497b45184/content
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bossi, Luca & Gomis-Porqueras, Pere, 2009. "Consequences Of Modeling Habit Persistence," Macroeconomic Dynamics, Cambridge University Press, vol. 13(3), pages 349-365, June.
    2. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    3. Lahiri, Amartya & Puhakka, Mikko, 1998. "Habit Persistence in Overlapping Generations Economies under Pure Exchange," Journal of Economic Theory, Elsevier, vol. 78(1), pages 176-186, January.
    4. Luís Aguiar‐Conraria & Karl Shell, 2006. "Capital gains," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3‐4), pages 331-349, September.
    5. Bullard, James & Duffy, John, 1998. "Learning And The Stability Of Cycles," Macroeconomic Dynamics, Cambridge University Press, vol. 2(1), pages 22-48, March.
    6. Bunzel, Helle, 2006. "Habit persistence, money, and overlapping generations," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2425-2445, December.
    7. Boldrin, Michele & Woodford, Michael, 1990. "Equilibrium models displaying endogenous fluctuations and chaos : A survey," Journal of Monetary Economics, Elsevier, vol. 25(2), pages 189-222, March.
    8. Koskela, Erkki & Puhakka, Mikko, 2007. "Stone-Geary preferences in overlapping generations economies under pure exchange: A note," Journal of Macroeconomics, Elsevier, vol. 29(4), pages 976-982, December.
    9. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, April.
    10. Chatterjee, Satyajit & Ravikumar, B., 1999. "Minimum Consumption Requirements: Theoretical And Quantitative Implications For Growth And Distribution," Macroeconomic Dynamics, Cambridge University Press, vol. 3(4), pages 482-505, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Richard Barnett & Joydeep Bhattacharya & Helle Bunzel, 2013. "Deviant generations, Ricardian equivalence, and growth cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 367-396, January.
    2. Rangan Gupta & Lardo Stander, 2014. "Endogenous Fluctuations in an Endogenous Growth Model with Inflation Targeting," Working Papers 201432, University of Pretoria, Department of Economics.
    3. repec:ipg:wpaper:2014-461 is not listed 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. Barnett, Richard C. & Bhattacharya, Joydeep & Bunzel, Helle, 2007. "Minimum Consumption Requirements and Cycles in an Overlapping Generations Model of Money," Staff General Research Papers Archive 12834, Iowa State University, Department of Economics.
    2. Richard C. Barnett & Joydeep Bhattacharya & Helle Bunzel, 2007. "Resurrecting Equilibria Through Cycles," Economics Working Papers 2007-12, Department of Economics and Business Economics, Aarhus University.
    3. Orrego, Fabrizio, 2011. "Habit formation and sunspots in overlapping generations models," Working Papers 2011-013, Banco Central de Reserva del Perú.
    4. Bossi, Luca & Gomis-Porqueras, Pere, 2009. "Consequences Of Modeling Habit Persistence," Macroeconomic Dynamics, Cambridge University Press, vol. 13(3), pages 349-365, June.
    5. Bunzel, Helle, 2006. "Habit persistence, money, and overlapping generations," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2425-2445, December.
    6. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2009. "More hedging instruments may destabilize markets," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1912-1928, November.
    7. Fatma SAFI & Lobna Ben Hassen, 2021. "Subtractive versus Multiplicative Habits in Environmental Economics," Economic Alternatives, University of National and World Economy, Sofia, Bulgaria, issue 1, pages 72-90, March.
    8. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, April.
    9. Simonovits, Andras, 1999. "Are there cycles in realistic overlapping cohorts models?," Structural Change and Economic Dynamics, Elsevier, vol. 10(2), pages 261-275, June.
    10. Dimitrios Varvarigos, 2013. "Endogenous Cycles and Human Capital," Discussion Papers in Economics 13/18, Division of Economics, School of Business, University of Leicester.
    11. Negroni, Giorgio, 2005. "Eductive expectations coordination on deterministic cycles in an economy with identical fundamentals," Journal of Economic Behavior & Organization, Elsevier, vol. 58(3), pages 420-443, November.
    12. Negroni, Giorgio, 2005. "Eductive expectations coordination on deterministic cycles in an economy with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 29(5), pages 931-952, May.
    13. Fabrizio Orrego, 2014. "Habit formation and indeterminacy in overlapping generations models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 225-241, January.
    14. Gomes, Orlando, 2008. "Too much of a good thing: Endogenous business cycles generated by bounded technological progress," Economic Modelling, Elsevier, vol. 25(5), pages 933-945, September.
    15. Barnett, Richard C. & Bhattacharya, Joydeep, 2008. "Rejuveniles and growth," European Economic Review, Elsevier, vol. 52(6), pages 1055-1071, August.
    16. Cees Diks & Cars Hommes & Valentyn Panchenko & Roy Weide, 2008. "E&F Chaos: A User Friendly Software Package for Nonlinear Economic Dynamics," Computational Economics, Springer;Society for Computational Economics, vol. 32(1), pages 221-244, September.
    17. Erkki Koskela & Mikko Puhakka, 2006. "Cycles and Indeterminacy in Overlapping Generations Economies with Stone-Geary Preferences," CESifo Working Paper Series 1737, CESifo.
    18. Philippe Michel & Alain Venditti & Claude Jessua, 1996. "Croissance optimale et cycles dans le modèle à générations imbriquées : un exemple," Revue Économique, Programme National Persée, vol. 47(3), pages 487-497.
    19. Simonovits, András, 1999. "A racionális és a naiv várakozások stabilitásának összehasonlítása [Commparison of the stability of rational and naive expectations]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 689-700.
    20. Hommes, Cars & Huber, Stefanie J. & Minina, Daria & Salle, Isabelle, 2024. "Learning in a complex world: Insights from an OLG lab experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 220(C), pages 813-837.

    More about this item

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury Policy

    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:isu:genstf:201001010800001106. 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: Curtis Balmer (email available below). General contact details of provider: https://edirc.repec.org/data/deiasus.html .

    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.