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Golden rule optimality in stochastic OLG economies

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  • Ohtaki, Eisei

Abstract

This study examines conditional golden rule optimality (CGRO) in stochastic overlapping generations models to complement the existing results on conditional Pareto optimality (CPO). Although an example in which CPO implies CGRO is presented, it is shown that such a situation is avoidable under strictly convex preferences. Under such preferences, both CPO and CGRO are characterized by the conditions on the dominant root for the agents’ common matrix of marginal rates of substitution. We demonstrate that CGRO requires the dominant root being exactly equal to one, whereas CPO allows it to be less than one. By adopting CGRO rather than CPO, we provide welfare theorems in the financial economy.

Suggested Citation

  • Ohtaki, Eisei, 2013. "Golden rule optimality in stochastic OLG economies," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 60-66.
    • Handle: RePEc:eee:matsoc:v:65:y:2013:i:1:p:60-66
    DOI: 10.1016/j.mathsocsci.2012.06.002
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    1. Gottardi, Piero & Kubler, Felix, 2011. "Social security and risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1078-1106, May.
    2. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    3. Chattopadhyay, Subir, 2001. "The unit root property and optimality: a simple proof," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 151-159, November.
    4. Bloise, Gaetano & Calciano, Filippo L., 2008. "A characterization of inefficiency in stochastic overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 143(1), pages 442-468, November.
    5. 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.
    6. Chattopadhyay, Subir, 2006. "Optimality in stochastic OLG models: Theory for tests," Journal of Economic Theory, Elsevier, vol. 131(1), pages 282-294, November.
    7. 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.
    8. 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.
    9. 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.
    10. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2007. "On the interaction between risk sharing and capital accumulation in a stochastic OLG model with production," Journal of Economic Theory, Elsevier, vol. 137(1), pages 568-579, November.
    11. 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.
    12. 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.
    13. Gabrielle Demange & Guy Laroque, 1999. "Social Security and Demographic Shocks," Econometrica, Econometric Society, vol. 67(3), pages 527-542, May.
    14. Muench, Thomas J., 1977. "Optimality, the interaction of spot and futures markets, and the nonneutrality of money in the lucas model," Journal of Economic Theory, Elsevier, vol. 15(2), pages 325-344, August.
    15. 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.
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    Cited by:

    1. Eisei Ohtaki, 2013. "Nominal Idiosyncratic Shocks and Optimal Monetary Policy," Working Papers e057, Tokyo Center for Economic Research.
    2. Eisei Ohtaki & Hiroyuki Ozaki, 2014. "Optimality in a Stochastic OLG Model with Ambiguity," Working Papers e069, Tokyo Center for Economic Research.
    3. 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.
    4. 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.
    5. Ohtaki, Eisei, 2014. "Tractable graphical device for analyzing stationary stochastic OLG economies," Journal of Macroeconomics, Elsevier, vol. 40(C), pages 16-26.

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