IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v63y2016icp93-99.html
   My bibliography  Save this article

Arrovian social choice with psychological thresholds

Author

Listed:
  • Kamo, Tomoyuki
  • Nagahisa, Ryo-Ichi

Abstract

This paper studies Arrovian preference aggregation rules–the rules satisfying weak Pareto and Arrow’s independence of irrelevant alternatives (IIA)–when individual preferences are nontransitive due to the existence of psychological thresholds — a problem of perceptible difference. A new domain replaces the universal domain, and rationality requirements of social preferences, i.e., transitivity, quasi-transitivity, and acyclicity with indifference transitivity, are converted into the corresponding versions respectively. We show that the Arrovian impossibilities, i.e., dictator, oligarchy, and vetoer theorems, still survive in this setting.

Suggested Citation

  • Kamo, Tomoyuki & Nagahisa, Ryo-Ichi, 2016. "Arrovian social choice with psychological thresholds," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 93-99.
    • Handle: RePEc:eee:mateco:v:63:y:2016:i:c:p:93-99
    DOI: 10.1016/j.jmateco.2016.01.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406816000033
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2016.01.001?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. Blau, Julian H., 1979. "Semiorders and collective choice," Journal of Economic Theory, Elsevier, vol. 21(1), pages 195-206, August.
    2. W. E. Armstrong, 1951. "Utility And The Theory Of Welfare," Oxford Economic Papers, Oxford University Press, vol. 3(3), pages 259-271.
    3. Fishburn, Peter C, 1970. "Intransitive Individual Indifference and Transitive Majorities," Econometrica, Econometric Society, vol. 38(3), pages 482-489, May.
    4. 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.
    5. Jun Iritani & Tomoyuki Kamo & Ryo-ichi Nagahisa, 2013. "Vetoer and tie-making group theorems for indifference-transitive aggregation rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 155-171, January.
    6. 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.
    7. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    8. Blair, Douglas H. & Pollak, Robert A., 1979. "Collective rationality and dictatorship: The scope of the arrow theorem," Journal of Economic Theory, Elsevier, vol. 21(1), pages 186-194, August.
    9. Barthelemy, Jean-Pierre, 1982. "Arrow's theorem: unusual domains and extended codomains," Mathematical Social Sciences, Elsevier, vol. 3(1), pages 79-89, July.
    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. 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.
    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. Susumu Cato, 2016. "Weak independence and the Pareto principle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 295-314, August.
    4. Susumu Cato, 2013. "Social choice, the strong Pareto principle, and conditional decisiveness," Theory and Decision, Springer, vol. 75(4), pages 563-579, October.
    5. Susumu Cato, 2012. "Social choice without the Pareto principle: a comprehensive analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 869-889, October.
    6. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    7. Ehlers, Lars & Storcken, Ton, 2009. "Oligarchies in spatial environments," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 250-256, March.
    8. Susumu Cato, 2010. "Brief proofs of Arrovian impossibility theorems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 267-284, July.
    9. Duddy, Conal & Piggins, Ashley, 2020. "A foundation for Pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 25-30.
    10. Dokow, Elad & Holzman, Ron, 2010. "Aggregation of binary evaluations with abstentions," Journal of Economic Theory, Elsevier, vol. 145(2), pages 544-561, March.
    11. Sholomov, Lev A., 2000. "Explicit form of neutral social decision rules for basic rationality conditions," Mathematical Social Sciences, Elsevier, vol. 39(1), pages 81-107, January.
    12. Le Breton, Michel & Weymark, John A., 2002. "Arrovian Social Choice Theory on Economic Domains," IDEI Working Papers 143, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2003.
    13. Florian Brandl & Felix Brandt, 2020. "Arrovian Aggregation of Convex Preferences," Econometrica, Econometric Society, vol. 88(2), pages 799-844, March.
    14. Cato, Susumu, 2018. "Incomplete decision-making and Arrow’s impossibility theorem," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 58-64.
    15. Susumu Cato & Daisuke Hirata, 2010. "Collective choice rules and collective rationality: a unified method of characterizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 611-630, April.
    16. Susumu Cato, 2015. "Weak Independence and Social Semi-Orders," The Japanese Economic Review, Japanese Economic Association, vol. 66(3), pages 311-321, September.
    17. Wright, Austin L. & Sonin, Konstantin & Driscoll, Jesse & Wilson, Jarnickae, 2020. "Poverty and economic dislocation reduce compliance with COVID-19 shelter-in-place protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 544-554.
    18. Janvier D. Nkurunziza, 2005. "Reputation and Credit without Collateral in Africa`s Formal Banking," Economics Series Working Papers WPS/2005-02, University of Oxford, Department of Economics.
    19. Vadim Borokhov, 2014. "On the properties of nodal price response matrix in electricity markets," Papers 1404.3678, arXiv.org, revised Jan 2015.
    20. Kristof Bosmans & Z. Emel Öztürk, 2022. "Laissez-faire versus Pareto," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 741-751, May.

    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:63:y:2016:i:c:p:93-99. 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.