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Optimal growth with heterogeneous agents and the twisted turnpike: An example

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  • Robert A. Becker

Abstract

The dynamics of a welfare maximizing, heterogeneous agent, one sector optimal Ramsey model is analyzed assuming two agents, each with a distinct discount factor and log utility. Production is Cobb-Douglas. Explicit time varying policy functions are derived, one for each period. A Twisted Turnpike Property and eventually monotone dynamics are demonstrated to govern the evolution of the economy’s aggregate capital stock.
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Suggested Citation

  • Robert A. Becker, 2012. "Optimal growth with heterogeneous agents and the twisted turnpike: An example," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(1), pages 27-47, March.
  • Handle: RePEc:bla:ijethy:v:8:y:2012:i:1:p:27-47
    DOI: j.1742-7363.2011.00172.x
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    File URL: http://hdl.handle.net/10.1111/j.1742-7363.2011.00172.x
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    Citations

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    Cited by:

    1. Jean-Pierre Drugeon & Bertrand Wigniolle, 2017. "On Time-Consistent Collective Choice with Heterogeneous Quasi- Hyperbolic Discounting," PSE Working Papers halshs-01662833, HAL.
    2. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    3. KONDO Atsumasa, "undated". "The Role of Productivity Growth Rates for Rising Inequality in an Economy with Heterogeneous Agents," ESRI Discussion paper series 326, Economic and Social Research Institute (ESRI).
    4. repec:ipg:wpaper:201404 is not listed on IDEAS
    5. Lilia Maliar & Serguei Maliar, 2016. "Ruling Out Multiplicity of Smooth Equilibria in Dynamic Games: A Hyperbolic Discounting Example," Dynamic Games and Applications, Springer, vol. 6(2), pages 243-261, June.
    6. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2022. "Time-consistent equilibria in dynamic models with recursive payoffs and behavioral discounting," Journal of Economic Theory, Elsevier, vol. 204(C).
    7. Drugeon, Jean-Pierre & Wigniolle, Bertrand, 2016. "On time-consistent policy rules for heterogeneous discounting programs," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 174-187.
    8. repec:hal:cesptp:hal-01302535 is not listed on IDEAS
    9. repec:ipg:wpaper:4 is not listed on IDEAS
    10. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On existence, efficiency and bubbles of Ramsey equilibrium with borrowing constraints," CAEPR Working Papers 2012-001, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    11. repec:hal:journl:hal-01302535 is not listed on IDEAS
    12. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    13. repec:hal:psewpa:halshs-00793530 is not listed on IDEAS
    14. repec:ipg:wpaper:2013-004 is not listed on IDEAS
    15. Jean-Pierre Drugeon & Bertrand Wigniolle, 2021. "On Markovian collective choice with heterogeneous quasi-hyperbolic discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1257-1296, November.
    16. Stefano Bosi & Thomas Seegmuller, 2013. "Rational bubbles and expectation-driven fluctuations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 69-83, March.

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