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Heterogeneous intergenerational altruism

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  • Antony Millner

Abstract

Agents exhibit pure intergenerational altruism if they care not just about the consumption utility experienced by future generations, but about their total wellbeing. If all generations are altruistic, each generation’s wellbeing depends on the wellbeing of its descendants. Thus pure intergenerational altruism causes generations’ preferences to be interdependent. While existing models study the relationship between pure intergenerational altruism and conventional time preferences, they assume that altruistic preferences are homogeneous across society. In effect, agents impose their own preferences on future generations, whether they share them or not. By contrast, we study pure intergenerational altruism when agents’ preferences are heterogeneous and fully non-paternalistic, i.e. they evaluate the wellbeing of future agents according to their own sovereign intergenerational preferences. We demonstrate that homogeneous models of intergenerational altruism over (under) estimate the weight an agent places on future utilities if she is less (more) altruistic than average. Moreover, all non-paternalistic agents agree on the appropriate long-run utility discount rate, regardless of their preferences. In general, existing derivations of exponential or quasi-hyperbolic time preferences from homogeneous models of pure intergenerational altruism are not robust to heterogeneity.

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  • Antony Millner, 2016. "Heterogeneous intergenerational altruism," GRI Working Papers 226, Grantham Research Institute on Climate Change and the Environment.
  • Handle: RePEc:lsg:lsgwps:wp226
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    References listed on IDEAS

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    1. Antony Millner & Geoffrey Heal, 2015. "Collective intertemporal choice: time consistency vs. time invariance," GRI Working Papers 220, Grantham Research Institute on Climate Change and the Environment.
    2. Becker, Gary S, 1974. "A Theory of Social Interactions," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1063-1093, Nov.-Dec..
    3. Hori, Hajime, 1992. "Utility functionals with nonpaternalistic intergenerational altruism: The case where altruism extends to many generations," Journal of Economic Theory, Elsevier, vol. 56(2), pages 451-467, April.
    4. Simone Galperti & Bruno Strulovici, 2017. "A Theory of Intergenerational Altruism," Econometrica, Econometric Society, vol. 85, pages 1175-1218, July.
    5. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    6. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    7. Stern,Nicholas, 2007. "The Economics of Climate Change," Cambridge Books, Cambridge University Press, number 9780521700801, October.
    8. Moritz A. Drupp & Mark C. Freeman & Ben Groom & Frikk Nesje, 2018. "Discounting Disentangled," American Economic Journal: Economic Policy, American Economic Association, vol. 10(4), pages 109-134, November.
    9. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    10. Fishburn, Peter C & Rubinstein, Ariel, 1982. "Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 677-694, October.
    11. Kimball, Miles S., 1987. "Making sense of two-sided altruism," Journal of Monetary Economics, Elsevier, vol. 20(2), pages 301-326, September.
    12. Martin L. Weitzman, 2001. "Gamma Discounting," American Economic Review, American Economic Association, vol. 91(1), pages 260-271, March.
    13. Geoffrey Heal & Antony Millner, 2013. "Discounting under Disagreement," NBER Working Papers 18999, National Bureau of Economic Research, Inc.
    14. Yvan Lengwiler, 2005. "Heterogeneous Patience and the Term Structure of Real Interest Rates," American Economic Review, American Economic Association, vol. 95(3), pages 890-896, June.
    15. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    16. Jaksa Cvitanic & Elyès Jouini & Semyon Malamud & Clotilde Napp, 2011. "Financial Markets Equilibrium with Heterogeneous Agents," Review of Finance, European Finance Association, vol. 16(1), pages 285-321.
    17. repec:dau:papers:123456789/4724 is not listed on IDEAS
    18. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    19. 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.
    20. Stephen Fels & Richard Zeckhauser, 2008. "Perfect and total altruism across the generations," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 187-197, December.
    21. Matthew O. Jackson & Leeat Yariv, 2015. "Collective Dynamic Choice: The Necessity of Time Inconsistency," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 150-178, November.
    22. Matthew O. Jackson & Leeat Yariv, 2014. "Present Bias and Collective Dynamic Choice in the Lab," American Economic Review, American Economic Association, vol. 104(12), pages 4184-4204, December.
    23. Theodore C. Bergstrom, 1999. "Systems of Benevolent Utility Functions," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 71-100, January.
    24. Weitzman, Martin L., 1998. "Why the Far-Distant Future Should Be Discounted at Its Lowest Possible Rate," Journal of Environmental Economics and Management, Elsevier, vol. 36(3), pages 201-208, November.
    25. Ray, Debraj, 1987. "Nonpaternalistic intergenerational altruism," Journal of Economic Theory, Elsevier, vol. 41(1), pages 112-132, February.
    26. Hori, Hajime & Kanaya, Sadao, 1989. "Utility functionals with nonpaternalistic intergenerational altruism," Journal of Economic Theory, Elsevier, vol. 49(2), pages 241-265, December.
    27. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    28. Martin L. Weitzman, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 703-724, September.
    29. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
    30. Matthew O. Jackson & Andrew McLennan (ed.), 2008. "Foundations in Microeconomic Theory," Springer Books, Springer, number 978-3-540-74057-5, January.
    31. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    32. Moritz Drupp & Mark Freeman & Ben Groom & Frikk Nesje, 2015. "Discounting disentangled: an expert survey on the determinants of the long-term social discount rate," GRI Working Papers 196a, Grantham Research Institute on Climate Change and the Environment.
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