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Generalized time-invariant overtaking

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Author Info

  • 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)

Abstract

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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Bibliographic Info

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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Keywords: Intergenerational justice; Utilitarianism; Leximin;

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References

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  1. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
  2. 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.
  3. d’ASPREMONT, Claude, 2005. "Formal welfarism and intergenerational equity," CORE Discussion Papers 2005075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. 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.
  5. 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).
  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. FLEURBAEY, Marc & MICHEL, Philippe, 1997. "Intertemporal equity and the extension of the Ramsey criterion," CORE Discussion Papers 1997004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-56, July.
  9. 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.
  10. Lauwers, Luc & Vallentyne, Peter, 2004. "Infinite Utilitarianism: More Is Always Better," Economics and Philosophy, Cambridge University Press, vol. 20(02), pages 307-330, October.
  11. 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.
  12. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer, vol. 24(1), pages 221-230, 07.
  13. 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.
  14. 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.
  15. Hammond, Peter J, 1979. "Equity in Two Person Situations: Some Consequences," Econometrica, Econometric Society, vol. 47(5), pages 1127-35, September.
  16. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
  17. Zame, William R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
  18. Basu, Kaushik & Mitra, Tapan, 2005. "Possibility Theorems for Aggregating Infinite Utility Streams Equitably," Working Papers 05-05, Cornell University, Center for Analytic Economics.
  19. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
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Citations

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Cited by:
  1. Michele Lombardi & Roberto Veneziani, 2009. "Liberal Egalitarianism and the Harm Principle," Global COE Hi-Stat Discussion Paper Series gd09-078, Institute of Economic Research, Hitotsubashi University.
  2. Geir B. Asheim & Kuntal Banerjee, 2009. "Fixed-step anonymous overtaking and catching-up," Working Papers 09001, Department of Economics, College of Business, Florida Atlantic University.
  3. Jonsson, Adam & Voorneveld, Mark, 2014. "The limit of discounted utilitarianism," Working Paper Series in Economics and Finance 748, Stockholm School of Economics, revised 24 Apr 2014.
  4. Geir Asheim & Stéphane Zuber, 2013. "A complete and strongly anonymous leximin relation on infinite streams," Social Choice and Welfare, Springer, vol. 41(4), pages 819-834, October.
  5. Alain Ayong Le Kama & Thai Ha-Huy & Cuong Le Van & Katheline Schubert, 2014. "A never-decisive and anonymous criterion for optimal growth models," Economic Theory, Springer, vol. 55(2), pages 281-306, February.
  6. repec:ipg:wpaper:2 is not listed on IDEAS
  7. Alcantud, José Carlos R., 2013. "Fuzzy sets from the ethics of social preferences," MPRA Paper 53549, University Library of Munich, Germany.
  8. 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.
  9. Mariotti, Marco & Veneziani, Roberto, 2012. "Allocating chances of success in finite and infinite societies: The utilitarian criterion," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 226-236.
  10. Luc Lauwers, 2012. "Intergenerational equity, efficiency, and constructibility," Economic Theory, Springer, vol. 49(2), pages 227-242, February.
  11. Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Theory and Decision, Springer, vol. 77(1), pages 31-83, June.

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