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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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    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, 2020. "Optimality in an OLG model with nonsmooth preferences," Working Papers e145, Tokyo Center for Economic Research.
    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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