IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v60y2023i1d10.1007_s00355-022-01437-z.html
   My bibliography  Save this article

The possibility of generalized social choice functions and Nash’s independence of irrelevant alternatives

Author

Listed:
  • Maurice Salles

    (University of Caen-Normandy
    CPNSS, London School of Economics
    Bilgi University)

Abstract

Social choice functions are generalized to handle Nash’s independence of irrelevant alternatives. Possibility and impossibility results are established.

Suggested Citation

  • Maurice Salles, 2023. "The possibility of generalized social choice functions and Nash’s independence of irrelevant alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 299-311, January.
  • Handle: RePEc:spr:sochwe:v:60:y:2023:i:1:d:10.1007_s00355-022-01437-z
    DOI: 10.1007/s00355-022-01437-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00355-022-01437-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00355-022-01437-z?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. Blair, Douglas H. & Bordes, Georges & Kelly, Jerry S. & Suzumura, Kotaro, 1976. "Impossibility theorems without collective rationality," Journal of Economic Theory, Elsevier, vol. 13(3), pages 361-379, December.
    2. Saari, Donald G., 1989. "A dictionary for voting paradoxes," Journal of Economic Theory, Elsevier, vol. 48(2), pages 443-475, August.
    3. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    4. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
    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. Josep Freixas & Roger Hoerl & William S. Zwicker, 2023. "Nash's bargaining problem and the scale-invariant Hirsch citation index," Papers 2309.01192, arXiv.org.

    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. John Duggan, 2019. "Weak rationalizability and Arrovian impossibility theorems for responsive social choice," Public Choice, Springer, vol. 179(1), pages 7-40, April.
    2. Susumu Cato, 2018. "Choice functions and weak Nash axioms," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 159-176, December.
    3. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    4. Susumu Cato, 2011. "Pareto principles, positive responsiveness, and majority decisions," Theory and Decision, Springer, vol. 71(4), pages 503-518, October.
    5. Gil Kalai & Elchanan Mossel, 2015. "Sharp Thresholds for Monotone Non-Boolean Functions and Social Choice Theory," Mathematics of Operations Research, INFORMS, vol. 40(4), pages 915-925, October.
    6. Murat Sertel & Alexander Bellen, 1980. "Routes and paths of comparison and choice," Public Choice, Springer, vol. 35(2), pages 205-218, January.
    7. Florian Brandl & Felix Brandt, 2020. "Arrovian Aggregation of Convex Preferences," Econometrica, Econometric Society, vol. 88(2), pages 799-844, March.
    8. Felix Brandt & Chris Dong, 2022. "On Locally Rationalizable Social Choice Functions," Papers 2204.05062, arXiv.org, revised Mar 2024.
    9. Brandt, Felix & Harrenstein, Paul, 2011. "Set-rationalizable choice and self-stability," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1721-1731, July.
    10. Ghosal, Sayantan & Dalton, Patricio, 2013. "Characterizing Behavioral Decisions with Choice Data," CAGE Online Working Paper Series 107, Competitive Advantage in the Global Economy (CAGE).
    11. Le Breton, Michel & Truchon, Michel, 1997. "A Borda measure for social choice functions," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 249-272, October.
    12. Walter Bossert & Yves Sprumont, 2009. "Non‐Deteriorating Choice," Economica, London School of Economics and Political Science, vol. 76(302), pages 337-363, April.
    13. Beigman, Eyal, 2010. "Simple games with many effective voters," Games and Economic Behavior, Elsevier, vol. 68(1), pages 15-22, January.
    14. Clark, Stephen A., 1995. "Indecisive choice theory," Mathematical Social Sciences, Elsevier, vol. 30(2), pages 155-170, October.
    15. 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.
    16. Chorus, Caspar & van Cranenburgh, Sander & Daniel, Aemiro Melkamu & Sandorf, Erlend Dancke & Sobhani, Anae & Szép, Teodóra, 2021. "Obfuscation maximization-based decision-making: Theory, methodology and first empirical evidence," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 28-44.
    17. Guy Barokas, 2021. "Dynamic choice under familiarity-based attention," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(4), pages 703-720, November.
    18. Miller, Alan D. & Rachmilevitch, Shiran, "undated". "A Behavioral Arrow Theorem," Working Papers WP2012/7, University of Haifa, Department of Economics.
    19. Marc Fleurbaey & Philippe Mongin, 2005. "The news of the death of welfare economics is greatly exaggerated," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 381-418, December.
    20. Bhattacharya, Mihir & Gravel, Nicolas, 2021. "Is the preference of the majority representative ?," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 87-94.

    More about this item

    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:spr:sochwe:v:60:y:2023:i:1:d:10.1007_s00355-022-01437-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.