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Evaluations of infinite utility streams: Pareto-efficient and egalitarian axiomatics

  • Alcantud, José Carlos R.
  • García-Sanz, María D.

Two factors influence the resolution of the conflict among infinite generations: the consistency/ethical postulates requested; and the utilities that each generation can possess. We contribute to qualifying the Basu-Mitra approach to this problem, that concerns social welfare functions. Firstly we examine efficiency and strengthened forms of Hammond Equity for the Future both when the feasible utilities are [0,1] and natural numbers. This complements Banerjee (Economics Letters, 2006) and Alcantud and Garcia- Sanz (Economics Letters, 2010). Secondly, we analyze the possibility of combining Pareto-efficiency and the spirit of the Hammond Equity principle for both specfications of the feasible utilities. Here the case study is richer since we analyze four different versions of this principle. We conclude that the Anonymity, Hammond Equity for the Future, and Hammond Equity ethics can be combined with weak specifications of the Pareto postulate at a time even through explicit social welfare functions.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 20133.

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Date of creation: 12 Jan 2010
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Handle: RePEc:pra:mprapa:20133
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  1. Asheim, Geir B. & Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2006. "Infinite-horizon choice functions," Memorandum 17/2006, Oslo University, Department of Economics.
  2. Banerjee, Kuntal, 2006. "On the equity-efficiency trade off in aggregating infinite utility streams," Economics Letters, Elsevier, vol. 93(1), pages 63-67, October.
  3. Basu, Kaushik & Mitra, Tapan, 2003. "Aggregating Infinite Utility Streams with Inter-generational Equity: The Impossibility of Being Paretian," Working Papers 03-03, Cornell University, Center for Analytic Economics.
  4. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
  5. Basu, Kaushik & Mitra, Tapan, 2005. "Possibility Theorems for Aggregating Infinite Utility Streams Equitably," Working Papers 05-05, Cornell University, Center for Analytic Economics.
  6. Lombardi, Michele & Miyagishima, Kaname & Veneziani, Roberto, 2013. "Liberal Egalitarianism and the Harm Principle," MPRA Paper 48458, University Library of Munich, Germany.
  7. Asheim, Geir B. & Mitra, Tapan & Tungodden, Bertil, 2006. "Sustainable recursive social welfare functions," Memorandum 18/2006, Oslo University, Department of Economics.
  8. Lauwers, Luc, 2010. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
  9. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  10. Basu, Kaushik & Mitra, Tapan, 2005. "On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity," Working Papers 05-06, Cornell University, Center for Analytic Economics.
  11. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
  12. Lauwers, Luc, 1998. "Intertemporal objective functions: Strong pareto versus anonymity," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 37-55, January.
  13. Sakai, Toyotaka, 2008. "Intergenerational equity and an explicit construction of welfare criteria," PIE/CIS Discussion Paper 395, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  14. Alcantud, José C.R. & García-Sanz, María D., 2010. "Paretian evaluation of infinite utility streams: An egalitarian criterion," Economics Letters, Elsevier, vol. 106(3), pages 209-211, March.
  15. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
  16. Michele Lombardi & Roberto Veneziani, 2009. "Liberal Principles for Social Welfare Relations in Infinitely-Lived Societies," Working Papers 650, Queen Mary University of London, School of Economics and Finance.
  17. Toyotaka Sakai, 2003. "Intergenerational preferences and sensitivity to the present," Economics Bulletin, AccessEcon, vol. 4(26), pages 1-5.
  18. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
  19. Toyotaka Sakai, 2006. "Equitable Intergenerational Preferences on Restricted Domains," Social Choice and Welfare, Springer, vol. 27(1), pages 41-54, August.
  20. Marco Mariotti & Roberto Veneziani, 2009. "‘Non-interference’ implies equality," Social Choice and Welfare, Springer, vol. 32(1), pages 123-128, January.
  21. Luc Lauwers, 1996. "Rawlsian equity and generalised utilitarianism with an infinite population (*)," Economic Theory, Springer, vol. 9(1), pages 143-150.
  22. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07.
  23. Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
  24. Asheim, Geir B. & Tungodden, Bertil, 2005. "A new equity condition for infinite utility streams and the possibility of being Paretian," Memorandum 08/2005, Oslo University, Department of Economics.
  25. repec:ebl:ecbull:v:4:y:2003:i:26:p:1-5 is not listed on IDEAS
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