Intergenerational justice when future worlds are uncertain
Let there be a positive (exogenous) probability that, at each date, the human species will disappear. We postulate an Ethical Observer (EO) who maximizes intertemporal welfare under this uncertainty, with expected-utility preferences. Various social welfare criteria entail alternative von Neumann Morgenstern utility functions for the EO: utilitarian, Rawlsian, and an extension of the latter that corrects for the size of population. Our analysis covers, first, a cake-eating economy (without production), where the utilitarian and Rawlsian recommend the same allocation. Second, a productive economy with education and capital, where it turns out that the recommendations of the two EOs are in general different. But when the utilitarian program diverges, then we prove it is optimal for the extended Rawlsian to ignore the uncertainty concerning the possible disappearance of the human species in the future. We conclude by discussing the implications for intergenerational welfare maximization in the presence of global warming.
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- Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2008.
"A dynamic analysis of human welfare in a warming planet,"
Economics Working Papers
1110, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 2010.
- Llavador, Humberto & Roemer, John E. & Silvestre, Joaquim, 2011. "“A dynamic analysis of human welfare in a warming planet”," Journal of Public Economics, Elsevier, vol. 95(11), pages 1607-1620.
- Humberto Llavador & John E. Roemer & Joaquim Silvestre & Joaquim Silvestre, 2009. "A Dynamic Analysis Of Human Welfare In A Warming Planet”," Working Papers 95, University of California, Davis, Department of Economics.
- Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2008. "A Dynamic Analysis of Human Welfare in a Warming Planet," Working Papers 358, Barcelona Graduate School of Economics.
- Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2008. "A Dynamic Analysis of Human Welfare in a Warming Planet," Cowles Foundation Discussion Papers 1673, Cowles Foundation for Research in Economics, Yale University.
- Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2009. "A Dynamic Analysis of Human Welfare in a Warming Planet," Cowles Foundation Discussion Papers 1673R, Cowles Foundation for Research in Economics, Yale University.
- Dasgupta, Partha, 1974. "On some alternative criteria for justice between generations," Journal of Public Economics, Elsevier, vol. 3(4), pages 405-423, November.
- Basu, Kaushik & Mitra, Tapan, 2007.
"Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization,"
Journal of Economic Theory,
Elsevier, vol. 133(1), pages 350-373, March.
- Basu, Kaushik & Mitra, Tapan, 2003. "Utilitarianism for Infinite Utility Streams: A New Welfare Criterion and Its Axiomatic Characterization," Working Papers 03-05, Cornell University, Center for Analytic Economics.
- Phelps, Edmund S & Riley, J G, 1978. "Rawlsian Growth: Dynamic Programming of Capital and Wealth for Intergeneration "Maximin" Justice," Review of Economic Studies, Wiley Blackwell, vol. 45(1), pages 103-20, February.
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