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Equilibrium management of fisheries with altruistic overlapping generations

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  • Ekeland, Ivar
  • Karp, Larry
  • Sumaila, Rashid

Abstract

We imbed a classic fishery model, where the optimal policy follows a Most Rapid Approach Path to a steady state, into an overlapping generations setting. The current generation discounts future generations’ utility flows at a rate possibly different from the pure rate of time preference used to discount their own utility flows. The resulting model has non-constant discount rates, leading totime inconsistency. The unique Markov Perfect equilibrium to this model hasa striking feature: provided that the current generation has some concern forthe not-yet born, the equilibrium policy does not depend on the degree of thatconcern.

Suggested Citation

  • Ekeland, Ivar & Karp, Larry & Sumaila, Rashid, 2011. "Equilibrium management of fisheries with altruistic overlapping generations," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt8615756p, Department of Agricultural & Resource Economics, UC Berkeley.
    • Handle: RePEc:cdl:agrebk:qt8615756p
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    References listed on IDEAS

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    1. Saez-Marti, Maria & Weibull, Jorgen W., 2005. "Discounting and altruism to future decision-makers," Journal of Economic Theory, Elsevier, vol. 122(2), pages 254-266, June.
    2. Sumaila, Ussif R. & Walters, Carl, 2005. "Intergenerational discounting: a new intuitive approach," Ecological Economics, Elsevier, vol. 52(2), pages 135-142, January.
    3. Karp, Larry, 2005. "Non-Constant Discounting in Continuous Time," Institute for Research on Labor and Employment, Working Paper Series qt0nn1t22z, Institute of Industrial Relations, UC Berkeley.
    4. Karp, L, 2007. "Non-constant discounting in continuous time," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt8d52f6w7, Department of Agricultural & Resource Economics, UC Berkeley.
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    7. Spence, A Michael & Starrett, David, 1975. "Most Rapid Approach Paths in Accumulation Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 388-403, June.
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    Cited by:

    1. Chen, Shumin & Li, Zhongfei & Zeng, Yan, 2014. "Optimal dividend strategies with time-inconsistent preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 150-172.
    2. Ivar Ekeland & Yiming Long & Qinglong Zhou, 2015. "A New Class of Problems in the Calculus of Variations," Papers 1511.00065, arXiv.org.
    3. Dongmei Guo & Shouyang Wang & Lin Zhao, 2020. "More Stringent Cap or Higher Penalty Fee? Dealing with Procrastination in Environmental Protection," Annals of Economics and Finance, Society for AEF, vol. 21(1), pages 41-69, May.

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    Keywords

    Life Sciences; fisheries management; sustainable development; renewable resources; time inconsistency; hyperbolic discounting;
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