IDEAS home Printed from https://ideas.repec.org/p/hit/rcnedp/12.html
   My bibliography  Save this paper

A Class of Practical and Acceptable Social Welfare Orderings That Satisfy the Principles of Aggregation and Non-Aggregation : Reexamination of the Tyrannies of Aggregation and Non-Aggregation

Author

Listed:
  • SAKAMOTO, Norihito

Abstract

This paper revisits impossibility results on the tyrannies of aggregation and non-aggregation. I propose two aggregation principles --quantitative aggregation and ratio aggregation—and investigate theoretical implications. As a result, I show that quantitative aggregation and minimal non-aggregation are incompatible while ratio aggregation and minimal non-aggregation are compatible under the assumption of standard axioms in social choice theory. Furthermore, this study provides a new characterization of the leximin rule by using replication invariance and the strong version of non-aggregation. Finally, I propose a class of practical and acceptable social welfare orderings that satisfy the principles of aggregation and non-aggregation, which has various advantages over the standard rank-discounted generalized utilitarianism.

Suggested Citation

  • SAKAMOTO, Norihito, 2024. "A Class of Practical and Acceptable Social Welfare Orderings That Satisfy the Principles of Aggregation and Non-Aggregation : Reexamination of the Tyrannies of Aggregation and Non-Aggregation," RCNE Discussion Paper Series 12, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:rcnedp:12
    Note: First Version: September 29, 2023, This Version: February 25, 2024
    as

    Download full text from publisher

    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/82958/2023dp12.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. repec:hal:pseose:hal-01048579 is not listed on IDEAS
    2. , B. & ,, 2014. "Escaping the repugnant conclusion: rank-discounted utilitarianism with variable population," Theoretical Economics, Econometric Society, vol. 9(3), September.
    3. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 199-209.
    4. Marc Fleurbaey & Bertil Tungodden, 2010. "The tyranny of non-aggregation versus the tyranny of aggregation in social choices: a real dilemma," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 399-414, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mark Schneider & Byung‐Cheol Kim, 2020. "The utilitarian–maximin social welfare function and anomalies in social choice," Southern Economic Journal, John Wiley & Sons, vol. 87(2), pages 629-646, October.
    2. Geir B. Asheim & Stéphane Zuber, 2017. "Rank-discounting as a resolution to a dilemma in population ethics," Documents de travail du Centre d'Economie de la Sorbonne 17041, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Martinet, Vincent & Del Campo, Stellio & Cairns, Robert D., 2022. "Intragenerational inequality aversion and intergenerational equity," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, issue forthcomi.
    4. Stéphane Zuber, 2018. "Population-adjusted egalitarianism," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01937766, HAL.
    5. Dean Spears & Mark Budolfson, 2021. "Repugnant conclusions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(3), pages 567-588, October.
    6. Spears, Dean & Budolfson, Mark, 2019. "Why Variable-Population Social Orderings Cannot Escape the Repugnant Conclusion: Proofs and Implications," IZA Discussion Papers 12668, Institute of Labor Economics (IZA).
    7. Philippe Mongin & Marcus Pivato, 2021. "Rawls’s difference principle and maximin rule of allocation: a new analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1499-1525, June.
    8. 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.
    9. Walter Bossert & Susumu Cato & Kohei Kamaga, 2023. "Thresholds, critical levels, and generalized sufficientarian principles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1099-1139, May.
    10. Marcus Pivato, 2020. "Rank-additive population ethics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 861-918, June.
    11. Mononen, Lasse, 2024. "Dynamically Consistent Intergenerational Welfare," Center for Mathematical Economics Working Papers 687, Center for Mathematical Economics, Bielefeld University.
    12. Vincenzo Atella & Jay Coggins & Federico Perali, 2005. "Aversion to inequality in Italy and its determinants," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 117-144, January.
    13. Frank Cowell & Marc Fleurbaey & Bertil Tungodden, 2015. "The tyranny puzzle in social preferences: an empirical investigation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 765-792, December.
    14. 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.
    15. Juan Candeal, 2013. "Invariance axioms for preferences: applications to social choice theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 453-471, September.
    16. Paolo Giovanni Piacquadio, 2017. "A Fairness Justification of Utilitarianism," Econometrica, Econometric Society, vol. 85, pages 1261-1276, July.
    17. Aitor Calo-Blanco, 2015. "Health, responsibility and taxation with a fresh start," Working Papers 15.06, Universidad Pablo de Olavide, Department of Economics.
    18. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 2006-15, Universite de Montreal, Departement de sciences economiques.
      • BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 14-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    19. Blackorby, Charles & Bossert, Walter, 2004. "Interpersonal comparisons of well-being," Economic Research Papers 269605, University of Warwick - Department of Economics.
    20. Asheim, Geir B. & Zuber, Stéphane, 2016. "Evaluating intergenerational risks," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 104-117.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hit:rcnedp:12. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Digital Resources Section, Hitotsubashi University Library (email available below). General contact details of provider: https://edirc.repec.org/data/nehitjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.