IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v88y2020icp25-30.html
   My bibliography  Save this article

A foundation for Pareto optimality

Author

Listed:
  • Duddy, Conal
  • Piggins, Ashley

Abstract

Can an axiomatic justification be given for the requirement that society picks all and only Pareto optimal alternatives at each profile of individual preferences? Using the framework of fixed-agenda social choice theory, we present a characterization of the Pareto optimal social choice correspondence. We introduce a new independence condition, P-independence. When combined with three natural assumptions, P-independence leads to the conclusion that the social choice set and the Pareto optimal set are the same.

Suggested Citation

  • Duddy, Conal & Piggins, Ashley, 2020. "A foundation for Pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 25-30.
  • Handle: RePEc:eee:mateco:v:88:y:2020:i:c:p:25-30
    DOI: 10.1016/j.jmateco.2020.02.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406820300306
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmateco.2020.02.005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gibbard, Allan F., 2014. "Social Choice And The Arrow Conditions," Economics and Philosophy, Cambridge University Press, vol. 30(3), pages 269-284, November.
    2. Deb, Rajat, 2011. "Chapter Nineteen - Nonbinary Social Choice," 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 2, chapter 19, pages 335-366, Elsevier.
    3. Le Breton, Michel & Weymark, John A., 2011. "Chapter Seventeen - Arrovian Social Choice Theory on Economic Domains," 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 2, chapter 17, pages 191-299, Elsevier.
    4. Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 381-393.
    5. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2002. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 1, number 1.
    6. Ehud Kalai & Eitan Muller & Mark Satterthwaite, 1979. "Social welfare functions when preferences are convex, strictly monotonic, and continuous," Public Choice, Springer, vol. 34(1), pages 87-97, March.
    7. Campbell, Donald E. & Kelly, Jerry S., 2002. "Impossibility theorems in the arrovian framework," 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 1, pages 35-94, Elsevier.
    8. Sanchez, M.Carmen & Peris, Josep E., 2006. "Hierarchies of power in non-binary social choice," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 843-853, November.
    9. Josep E. Peris & M. Carmen Sánchez, 2001. "Characterization of social choice sets in terms of individuals' maximal sets: The fixed agenda framework," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 113-127.
    10. Allan Gibbard, 2014. "Intransitive social indifference and the Arrow dilemma," Review of Economic Design, Springer;Society for Economic Design, vol. 18(1), pages 3-10, March.
    11. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2011. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 2, number 2.
    12. Bandyopadhyay, Taradas & Sengupta, Kunal, 1991. "Revealed Preference Axioms for Rational Choice," Economic Journal, Royal Economic Society, vol. 101(405), pages 202-213, March.
    13. Piggins, Ashley, 2017. "Sen’s proofs of the Arrow and Gibbard theorems," Economics Letters, Elsevier, vol. 161(C), pages 99-101.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Guy Barokas, 2022. "Revealed desirability: a novel instrument for social welfare," Theory and Decision, Springer, vol. 93(4), pages 649-661, November.
    2. Kelly, Jerry S., 2020. "Characterization of the Pareto social choice correspondence," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 150-155.
    3. Duddy, Conal & Piggins, Ashley, 2022. "Collective choice rules with social maximality," Journal of Mathematical Economics, Elsevier, vol. 99(C).

    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. Duddy, Conal & Piggins, Ashley, 2022. "Collective choice rules with social maximality," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    2. Susumu Cato, 2018. "Collective rationality and decisiveness coherence," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 305-328, February.
    3. Wesley H. Holliday & Eric Pacuit, 2020. "Arrow’s decisive coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 463-505, March.
    4. Piggins, Ashley & Duddy, Conal, 2016. "Oligarchy and soft incompleteness," MPRA Paper 72392, University Library of Munich, Germany.
    5. Priscilla Man & Shino Takayama, 2013. "A unifying impossibility theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 249-271, October.
    6. Marek Pycia & M. Utku Ünver, 2021. "Arrovian Efficiency and Auditability in Discrete Mechanism Design," Boston College Working Papers in Economics 1044, Boston College Department of Economics.
    7. Walter Bossert & Marc Fleurbaey, 2015. "An Interview with Kotaro Suzumura," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 179-208, January.
    8. Cato, Susumu, 2015. "Weak independent decisiveness and the existence of a unique vetoer," Economics Letters, Elsevier, vol. 131(C), pages 59-61.
    9. Leo Katz & Alvaro Sandroni, 2020. "Limits on power and rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 507-521, March.
    10. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    11. Reiko Gotoh & Naoki Yoshihara, 2018. "Securing basic well-being for all," Review of Social Economy, Taylor & Francis Journals, vol. 76(4), pages 422-452, October.
    12. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    13. John A. Weymark, 2017. "Conundrums for nonconsequentialists," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 269-294, February.
    14. Nicola Acocella-super-, 2017. "The Rise And Decline Of Economic Policy As An Autonomous Discipline: A Critical Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 31(3), pages 661-677, July.
    15. Allan Gibbard, 2014. "Intransitive social indifference and the Arrow dilemma," Review of Economic Design, Springer;Society for Economic Design, vol. 18(1), pages 3-10, March.
    16. François Maniquet & Philippe Mongin, 2015. "Approval voting and Arrow’s impossibility theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 519-532, March.
    17. M. Ali Khan & Metin Uyanık, 2021. "Topological connectedness and behavioral assumptions on preferences: a two-way relationship," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 411-460, March.
    18. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2020. "Arrow on domain conditions: a fruitful road to travel," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 237-258, March.
    19. Bossert, Walter & Peters, Hans, 2014. "Single-basined choice," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 162-168.
    20. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 01-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

    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:eee:mateco:v:88:y:2020:i:c:p:25-30. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.