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Resurrecting Equilibria Through Cycles

Author

Listed:
  • Richard C. Barnett
  • Joydeep Bhattacharya
  • Helle Bunzel

    () (School of Economics and Management, University of Aarhus, Denmark)

Abstract

In an overlapping generations model, momentary equilibria are defined as points that lie on the intergenerational offer curve, i.e., they 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. The literature has always ruled out such paths. This paper studies a pure-exchange monetary overlapping generations economy in which real balances cycle forever between momentary equilibrium points. The novelty is to show that segments of the offer curve that have been previously ignored, can in fact be used to produce asymptotically valid cyclical paths. Indeed, a cycle can bestow dynamic validity on momentary equilibrium points that had erstwhile been classified as dynamically invalid.

Suggested Citation

  • 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.
  • Handle: RePEc:aah:aarhec:2007-12
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    File URL: ftp://ftp.econ.au.dk/afn/wp/07/wp07_12.pdf
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    References listed on IDEAS

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    1. Erkki Koskela & Mikko Puhakka, 2006. "Cycles and Indeterminacy in Overlapping Generations Economies with Stone-Geary Preferences," CESifo Working Paper Series 1737, CESifo Group Munich.
    2. 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.
    3. Bullard, James & Duffy, John, 1998. "Learning And The Stability Of Cycles," Macroeconomic Dynamics, Cambridge University Press, vol. 2(01), pages 22-48, March.
    4. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    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. 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.
    7. James B. Bullard & John Duffy, 1995. "On learning and the stability of cycles," Working Papers 1995-006, Federal Reserve Bank of St. Louis.
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    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.

    More about this item

    Keywords

    overlapping generations models; monetary equilibria; cycles; minimum consumption requirements;

    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

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