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On time-consistent policy rules for heterogeneous discounting programs

Author

Listed:
  • Bertrand Wigniolle

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - ENPC - École des Ponts ParisTech - ENS Paris - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique - EHESS - École des hautes études en sciences sociales - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Jean-Pierre Drugeon

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

This article considers a new concept of social optimum for an economy populated by agents with heterogeneous discount factors. It is based upon an approach that constrains decision rules to be temporally consistent: these are stationary and unequivocally ruled by the state variable. For agents who differ only in their discount factors and have equal weights in the planner's objective, the temporally-consistent optimal solution produces identical consumption for the agents at all time periods. In the long run, the capital stock is determined by a modified golden rule that corresponds to an average-like summation of all discount factors. The general argument is illustrated by various two-agent examples that allow for an explicit determination of the temporally consistent decision rules. Interestingly, this temporally consistent solution can be simply recovered from the characterization of a social planner's problem with variable discounting and can also be decentralized as a competitive equilibrium through the use of various instruments.

Suggested Citation

  • Bertrand Wigniolle & Jean-Pierre Drugeon, 2016. "On time-consistent policy rules for heterogeneous discounting programs," PSE - Labex "OSE-Ouvrir la Science Economique" hal-01307683, HAL.
  • Handle: RePEc:hal:pseose:hal-01307683
    DOI: 10.1016/j.jmateco.2016.01.006
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-01307683
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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. Jean-Pierre Drugeon & Bertrand Wigniolle, 0. "On Markovian collective choice with heterogeneous quasi-hyperbolic discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 0, pages 1-40.
    3. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2018. "On uniqueness of time-consistent Markov policies for quasi-hyperbolic consumers under uncertainty," Journal of Economic Theory, Elsevier, vol. 176(C), pages 293-310.
    4. Jean-Pierre Drugeon & Bertrand Wigniolle, 2017. "On impatience, temptation and Ramsey’s conjecture," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 73-98, January.

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    More about this item

    Keywords

    Heterogeneous discounting programs; Time-consistent policy rules;

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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