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Fixed-step anonymous overtaking and catching-up

  • Geir B. Asheim

    ()

    (Department of Economics, University of Oslo, Norway)

  • Kuntal Banerjee

    ()

    (Department of Economics, College of Business, Florida Atlantic University)

We investigate criteria for evaluating infinite utility streams that satisfy Fixed-step anonymity and includes some notion of overtaking or catching-up. We do so in a generalized setting which do not require us to specify the underlying finite-dimensional criterion (e.g., utilitarianism or leximin). We present axiomatizations that rely on weaker axioms than those in the literature, and which in one case is new. We also provide a complete analysis of the relationships between the symmetric parts of these criteria and likewise for the asymmetric parts.

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File URL: http://kuntal.banerjee.googlepages.com/fsa01.pdf
File Function: First version, 2009
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Paper provided by Department of Economics, College of Business, Florida Atlantic University in its series Working Papers with number 09001.

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Length: 25 pages
Date of creation: Jan 2009
Date of revision:
Handle: RePEc:fal:wpaper:09001
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  1. Kohei Kamaga & Takashi Kojima, 2010. "On the leximin and utilitarian overtaking criteria with extended anonymity," Social Choice and Welfare, Springer, vol. 35(3), pages 377-392, September.
  2. 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.
  3. M. Fleurbaey & P. Michel, 1997. "Intertemporal equity and the extension of the Ramsey criterion," THEMA Working Papers 97-11, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  4. ASHEIM, Geir B. & d’ASPREMONT, Claude & BANERJEE, Kuntal, 2008. "Generalized time-invariant overtaking," CORE Discussion Papers 2008065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Kamaga, Kohei & Kojima, Takashi, 2008. "Q-anonymous social welfare relations on infinite utility streams," PIE/CIS Discussion Paper 391, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  6. 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.
  7. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  8. d'Aspremont, Claude & Gevers, Louis, 1977. "Equity and the Informational Basis of Collective Choice," Review of Economic Studies, Wiley Blackwell, vol. 44(2), pages 199-209, June.
  9. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
  10. Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
  11. Luc Lauwers, 1996. "Rawlsian equity and generalised utilitarianism with an infinite population (*)," Economic Theory, Springer, vol. 9(1), pages 143-150.
  12. Van Liedekerke, Luc & Lauwers, Luc, 1997. "Sacrificing the Patrol: Utilitarianism, Future Generations and Infinity," Economics and Philosophy, Cambridge University Press, vol. 13(02), pages 159-174, October.
  13. Claude, d’ASPREMONT, 2005. "Formal welfarism and intergenerational equity," Discussion Papers (ECON - Département des Sciences Economiques) 2005051, Université catholique de Louvain, Département des Sciences Economiques.
  14. 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.
  15. 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.
  16. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07.
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