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Generalized time-invariant overtaking

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  • Asheim, Geir B.
  • d'Aspremont, Claude
  • Banerjee, Kuntal

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.

Suggested Citation

  • Asheim, Geir B. & d'Aspremont, Claude & Banerjee, Kuntal, 2010. "Generalized time-invariant overtaking," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 519-533, July.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:519-533
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    Citations

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    Cited by:

    1. Alcantud, José Carlos R., 2013. "Fuzzy sets from the ethics of social preferences," MPRA Paper 53549, University Library of Munich, Germany.
    2. 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.
    3. repec:ipg:wpaper:2 is not listed on IDEAS
    4. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society.
    5. Toyotaka Sakai, 2010. "Intergenerational equity and an explicit construction of welfare criteria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 393-414, September.
    6. Geir B. Asheim & Kuntal Banerjee, 2010. "Fixed-step anonymous overtaking and catching-up," International Journal of Economic Theory, The International Society for Economic Theory, pages 149-165.
    7. Luc Lauwers, 2012. "Intergenerational equity, efficiency, and constructibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 227-242, February.
    8. 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;Society for the Advancement of Economic Theory (SAET), pages 281-306.
    9. Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Theory and Decision, Springer, vol. 77(1), pages 31-83, June.
    10. repec:wly:econjl:v:126:y:2016:i:597:p:2173-2196 is not listed on IDEAS
    11. 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.
    12. Geir Asheim & Stéphane Zuber, 2013. "A complete and strongly anonymous leximin relation on infinite streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, pages 819-834.
    13. repec:ipg:wpaper:2013-002 is not listed on IDEAS
    14. Toyotaka Sakai, 2016. "Limit representations of intergenerational equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 481-500, August.
    15. Kohei Kamaga, 2016. "Infinite-horizon social evaluation with variable population size," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(1), pages 207-232, June.

    More about this item

    Keywords

    Intergenerational justice Utilitarianism Leximin;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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