IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v65y2013i1p60-66.html
   My bibliography  Save this article

Golden rule optimality in stochastic OLG economies

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489612000595
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.mathsocsci.2012.06.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gabrielle Demange & Guy Laroque, 1999. "Social Security and Demographic Shocks," Econometrica, Econometric Society, vol. 67(3), pages 527-542, May.
    2. 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.
    3. Gottardi, Piero & Kubler, Felix, 2011. "Social security and risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1078-1106, May.
    4. 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.
    5. Subir Chattopadhyay & Piero Gottardi, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Working Papers 99-12, Brown University, Department of Economics.
    6. Chattopadhyay, Subir, 2001. "The unit root property and optimality: a simple proof," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 151-159, November.
    7. 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.
    8. 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.
    9. 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.
    10. Chattopadhyay, Subir, 2006. "Optimality in stochastic OLG models: Theory for tests," Journal of Economic Theory, Elsevier, vol. 131(1), pages 282-294, November.
    11. 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.
    12. 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.
    13. 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.
    14. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    15. 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.
    16. 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.
    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. Eisei Ohtaki, 2013. "Nominal Idiosyncratic Shocks and Optimal Monetary Policy," Working Papers e057, Tokyo Center for Economic Research.
    2. 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.
    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. Eisei Ohtaki & Hiroyuki Ozaki, 2014. "Optimality in a Stochastic OLG Model with Ambiguity," Working Papers e069, Tokyo Center for Economic Research.
    5. Ohtaki, Eisei, 2014. "Tractable graphical device for analyzing stationary stochastic OLG economies," Journal of Macroeconomics, Elsevier, vol. 40(C), pages 16-26.

    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. Eisei Ohtaki & Hiroyuki Ozaki, 2014. "Optimality in a Stochastic OLG Model with Ambiguity," Working Papers e069, Tokyo Center for Economic Research.
    2. 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.
    3. Ohtaki, Eisei, 2014. "Tractable graphical device for analyzing stationary stochastic OLG economies," Journal of Macroeconomics, Elsevier, vol. 40(C), pages 16-26.
    4. Chattopadhyay, Subir, 2018. "The unit root property and optimality with a continuum of states—Pure exchange," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 105-118.
    5. 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.
    6. Gabrielle Demange, 2009. "On Sustainable Pay‐as‐You‐Go Contribution Rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(4), pages 493-527, August.
    7. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2000. "Dynamic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security," IZA Discussion Papers 209, Institute of Labor Economics (IZA).
    8. Martin Barbie & Marten Hillebrand, 2018. "Bubbly Markov equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 627-679, October.
    9. Chattopadhyay, Subir & Jimnez-Martnez, Antonio, 2009. "Dividend paying assets, the unit root property, and suboptimality," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 223-232, March.
    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. Hillebrand, Marten, 2011. "On the role of labor supply for the optimal size of Social Security," Journal of Economic Dynamics and Control, Elsevier, vol. 35(7), pages 1091-1105, July.
    12. Chattopadhyay, Subir, 2001. "The unit root property and optimality: a simple proof," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 151-159, November.
    13. Gottardi, Piero & Kubler, Felix, 2011. "Social security and risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1078-1106, May.
    14. Blanchard Olivier & Weil Philippe, 2001. "Dynamic Efficiency, the Riskless Rate, and Debt Ponzi Games under Uncertainty," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(2), pages 1-23, November.
    15. Chattopadhyay, Subir, 2008. "The Cass criterion, the net dividend criterion, and optimality," Journal of Economic Theory, Elsevier, vol. 139(1), pages 335-352, March.
    16. Gabrielle Demange, 2005. "On sustainable pay as you go systems," PSE Working Papers halshs-00590859, HAL.
    17. Subir Chattopadhyay, 2000. "The Unit Root Property And Optimality: A Simple Proof," Working Papers. Serie AD 2000-31, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    18. Gaetano Bloise & Pietro Reichlin, 2023. "Low safe interest rates: A case for dynamic inefficiency?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 633-656, December.
    19. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    20. repec:spo:wpecon:info:hdl:2441/8607 is not listed on IDEAS
    21. repec:hal:wpspec:info:hdl:2441/8607 is not listed on IDEAS
    22. Subir Chattopadhyay, 2001. "Long-Lived Assets, Incomplete Markets, And Optimality," Working Papers. Serie AD 2001-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

    More about this item

    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:eee:matsoc:v:65:y:2013:i:1:p:60-66. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    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.