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A Multigenerational Game Model to Analyze Sustainable Development

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  • Alain Haurie

Abstract

This paper deals with a multigeneration game that provides a new rationale for representing time preference in very long term cost benefit analysis, as it happens typically in the economics of global climate change. One defines an intergenerational game where each generation has a random life duration and transfers the control of the economic system to the next generation at the end of its life. The payoff to a generation is a discounted sum of the expected consumption by the whole infinite sequence of generations, starting with the current one. The equilibrium is characterized by a dynamic programming equation; a unique solution is proved to exist; a numerical technique is proposed and implemented on a continuous time simplified version of the model DICE94. The results show the influence of this form of altruism on the asymptotic steady states of the economy subject to a global climate change effect. Copyright Springer Science + Business Media, Inc. 2005

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  • Alain Haurie, 2005. "A Multigenerational Game Model to Analyze Sustainable Development," Annals of Operations Research, Springer, vol. 137(1), pages 369-386, July.
    • Handle: RePEc:spr:annopr:v:137:y:2005:i:1:p:369-386:10.1007/s10479-005-2267-2
    DOI: 10.1007/s10479-005-2267-2
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    Cited by:

    1. Breton, Michele & Sokri, Abderrahmane & Zaccour, Georges, 2008. "Incentive equilibrium in an overlapping-generations environmental game," European Journal of Operational Research, Elsevier, vol. 185(2), pages 687-699, March.
    2. Di Corato, Luca, 2012. "Optimal conservation policy under imperfect intergenerational altruism," Journal of Forest Economics, Elsevier, vol. 18(3), pages 194-206.
    3. Łukasz Balbus & Anna Jaśkiewicz & Andrzej S. Nowak, 2020. "Markov perfect equilibria in a dynamic decision model with quasi-hyperbolic discounting," Annals of Operations Research, Springer, vol. 287(2), pages 573-591, April.
    4. Anna Jaśkiewicz & Andrzej S. Nowak, 2021. "Markov decision processes with quasi-hyperbolic discounting," Finance and Stochastics, Springer, vol. 25(2), pages 189-229, April.
    5. G. Papavassilopoulos, 2013. "University-Students Game," Dynamic Games and Applications, Springer, vol. 3(3), pages 387-418, September.
    6. Salem Nechi & Belaid Aouni & Zouhair Mrabet, 2020. "Managing sustainable development through goal programming model and satisfaction functions," Annals of Operations Research, Springer, vol. 293(2), pages 747-766, October.
    7. Thierry Bréchet & Carmen Camacho & Vladimir Veliov, 2014. "Model predictive control, the economy, and the issue of global warming," Annals of Operations Research, Springer, vol. 220(1), pages 25-48, September.
    8. Jaśkiewicz, Anna & Nowak, Andrzej S., 2014. "Stationary Markov perfect equilibria in risk sensitive stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 151(C), pages 411-447.
    9. Nowak, Andrzej S., 2006. "A multigenerational dynamic game of resource extraction," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 327-336, May.
    10. A. S. Nowak, 2010. "On a Noncooperative Stochastic Game Played by Internally Cooperating Generations," Journal of Optimization Theory and Applications, Springer, vol. 144(1), pages 88-106, January.
    11. Agah R. Turan, 2019. "Intentional time inconsistency," Theory and Decision, Springer, vol. 86(1), pages 41-64, February.

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