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Equilibrium management of fisheries with altruistic overlapping generations

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  • Ekeland, Ivar
  • Karp, Larry S.
  • Sumaila, Ussif 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 to time inconsistency. The unique Markov Perfect equilibrium to this model has a striking feature: provided that the current generation has some concern for the not-yet born, the equilibrium policy does not depend on the degree of that concern.

Suggested Citation

  • Ekeland, Ivar & Karp, Larry S. & Sumaila, Ussif Rashid, 2011. "Equilibrium management of fisheries with altruistic overlapping generations," CUDARE Working Papers 123635, University of California, Berkeley, Department of Agricultural and Resource Economics.
    • Handle: RePEc:ags:ucbecw:123635
    DOI: 10.22004/ag.econ.123635
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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.
    5. Karp, Larry, 2007. "Non-constant discounting in continuous time," Journal of Economic Theory, Elsevier, vol. 132(1), pages 557-568, January.
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    Cited by:

    1. Ivar Ekeland & Yiming Long & Qinglong Zhou, 2015. "A New Class of Problems in the Calculus of Variations," Papers 1511.00065, arXiv.org.
    2. 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.
    3. 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.

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