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Generalized time-invariant overtaking

  • Geir B. Asheim

    ()

    (Department of Economics, University of Oslo, Norway)

  • Claude d’Aspremont

    ()

    (CORE, Universit´e catholique de Louvain, Belgium)

  • Kuntal Banerjee

    ()

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

We present a new version of the overtaking criterion, which we call generalized time-invariant overtaking. The generalized time-invariant overtaking criterion (on the space of infinite utility streams) is defined by extending proliferating sequences of complete and transitive binary relations defined on finite dimensional spaces. The paper presents a general approach that can be specialized to at least two, extensively researched examples, the utilitarian and the leximin orderings on a finite dimensional Euclidean space.

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File URL: http://kuntal.banerjee.googlepages.com/overta03.pdf
File Function: First version, 2008
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Paper provided by Department of Economics, College of Business, Florida Atlantic University in its series Working Papers with number 08004.

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Length: 33 pages
Date of creation: Oct 2008
Date of revision:
Handle: RePEc:fal:wpaper:08004
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  1. Hammond, Peter J, 1979. "Equity in Two Person Situations: Some Consequences," Econometrica, Econometric Society, vol. 47(5), pages 1127-35, September.
  2. d'Aspremont, Claude & Gevers, Louis, 2002. "Social welfare functionals and interpersonal comparability," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 10, pages 459-541 Elsevier.
  3. 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.
  4. 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.
  5. 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.
  6. Lauwers, Luc & Vallentyne, Peter, 2004. "Infinite Utilitarianism: More Is Always Better," Economics and Philosophy, Cambridge University Press, vol. 20(02), pages 307-330, October.
  7. Toyotaka Sakai, 2010. "Intergenerational equity and an explicit construction of welfare criteria," Social Choice and Welfare, Springer, vol. 35(3), pages 393-414, September.
  8. d'ASPREMONT, Claude & GEVERS, Louis, . "Equity and the informational basis of collective choice," CORE Discussion Papers RP -350, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. Kamaga, Kohei & Kojima, Takashi, 2008. "On the leximin and utilitarian overtaking criteria with extended anonymity," PIE/CIS Discussion Paper 392, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  10. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07.
  11. 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.
  12. 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.
  13. Basu, Kaushik & Mitra, Tapan, 2005. "Possibility Theorems for Aggregating Infinite Utility Streams Equitably," Working Papers 05-05, Cornell University, Center for Analytic Economics.
  14. 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.
  15. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  16. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
  17. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
  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. Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
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