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Tractable graphical device for analyzing stationary stochastic OLG economies

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  • Ohtaki, Eisei

Abstract

This article develops a tractable graphical device for analyzing the stationary, stochastic overlapping generations economy. In this paper, the graphical device is applied to the theoretical study on stochastic bubbles per Weil (1987) and gives new insights into the issue.

Suggested Citation

  • Ohtaki, Eisei, 2014. "Tractable graphical device for analyzing stationary stochastic OLG economies," Journal of Macroeconomics, Elsevier, vol. 40(C), pages 16-26.
    • Handle: RePEc:eee:jmacro:v:40:y:2014:i:c:p:16-26
    DOI: 10.1016/j.jmacro.2014.02.008
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    1. José-Víctor Ríos-Rull, 1996. "Life-Cycle Economies and Aggregate Fluctuations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 465-489.
    2. Ohtaki, Eisei, 2015. "A Note On The Existence And Uniqueness Of Stationary Monetary Equilibrium In A Stochastic Olg Model," Macroeconomic Dynamics, Cambridge University Press, vol. 19(3), pages 701-707, April.
    3. Eisei Ohtaki & Hiroyuki Ozaki, 2015. "Monetary equilibria and Knightian uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 435-459, August.
    4. Gottardi, Piero & Kubler, Felix, 2011. "Social security and risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1078-1106, May.
    5. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    6. Gabrielle Demange & Guy Laroque, 2000. "Social Security, Optimality, and Equilibria in a Stochastic Overlapping Generations Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(1), pages 1-23, January.
    7. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    8. Chattopadhyay, Subir, 2001. "The unit root property and optimality: a simple proof," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 151-159, November.
    9. Emmanuel Farhi & Jean Tirole, 2012. "Bubbly Liquidity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 678-706.
    10. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    11. Manuelli, Rodolfo, 1990. "Existence and optimality of currency equilibrium in stochastic overlapping generations models: The pure endowment case," Journal of Economic Theory, Elsevier, vol. 51(2), pages 268-294, August.
    12. Sakai, Yoshikiyo, 1988. "Conditional Pareto optimality of stationary equilibrium in a stochastic overlapping generations model," Journal of Economic Theory, Elsevier, vol. 44(1), pages 209-213, February.
    13. Gottardi, Piero, 1996. "Stationary Monetary Equilibria in Overlapping Generations Models with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 75-89, October.
    14. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    15. Bohn, Henning, 2009. "Intergenerational risk sharing and fiscal policy," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 805-816, September.
    16. Peled, Dan, 1984. "Stationary pareto optimality of stochastic asset equilibria with overlapping generations," Journal of Economic Theory, Elsevier, vol. 34(2), pages 396-403, December.
    17. Fulghieri, Paolo & Rovelli, Riccardo, 1998. "Capital markets, financial intermediaries, and liquidity supply," Journal of Banking & Finance, Elsevier, vol. 22(9), pages 1157-1180, September.
    18. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    19. Grandmont, Jean-Michel, 1986. "Stabilizing competitive business cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 57-76, October.
    20. Ohtaki, Eisei, 2013. "Golden rule optimality in stochastic OLG economies," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 60-66.
    21. Eisei Ohtaki, 2011. "A note on the existence of monetary equilibrium in a stochastic OLG model with a finite state space," Economics Bulletin, AccessEcon, vol. 31(1), pages 485-492.
    22. Zhu, Tao, 2008. "An overlapping-generations model with search," Journal of Economic Theory, Elsevier, vol. 142(1), pages 318-331, September.
    23. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
    24. Chattopadhyay, Subir & Muench, Thomas J., 1999. "Sunpsots and cycles reconsidered1," Economics Letters, Elsevier, vol. 63(1), pages 67-75, April.
    25. Pamela Labadie, 2004. "Aggregate risk sharing and equivalent financial mechanisms in an endowment economy of incomplete participation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(4), pages 789-809, November.
    26. Ohtaki, Eisei, 2013. "Idiosyncratic risks, self-insurance, and stochastic bubbles," Economics Letters, Elsevier, vol. 118(3), pages 429-430.
    27. Philippe Weil, 1987. "Confidence and the Real Value of Money in an Overlapping Generations Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 1-22.
    28. Michael Magill & Martine Quinzii, 2003. "Indeterminacy of equilibrium in stochastic OLG models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 435-454, March.
    29. Farmer, Roger E.A. & Woodford, Michael, 1997. "Self-Fulfilling Prophecies And The Business Cycle," Macroeconomic Dynamics, Cambridge University Press, vol. 1(4), pages 740-769, December.
    30. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
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    Cited by:

    1. Eisei Ohtaki, 2023. "Optimality in an OLG model with nonsmooth preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 611-659, September.
    2. Eisei Ohtaki & Hiroyuki Ozaki, 2015. "Monetary equilibria and Knightian uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 435-459, August.

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    More about this item

    Keywords

    Box diagram; Stochastic overlapping generations model;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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