IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v65y2013i1p31-35.html
   My bibliography  Save this article

Uniformly bounded sufficient sets and quasitransitive social choice

Author

Listed:
  • Campbell, Donald E.
  • Kelly, Jerry S.

Abstract

X is infinite and social preference is quasitransitive. Subset Y of X is sufficient for {x,y} if x and y can be socially ordered with individual preference information over Y alone. If there is an integer β such that every pair of alternatives has a sufficient set with at most β members then for arbitrarily large finite subsets of X there is a rich subdomain of profiles within which a reduction in the amount of veto power must be accompanied by an equal increase in the fraction of pairs that are restricted, in that strict social preference prevails in only one direction.

Suggested Citation

  • Campbell, Donald E. & Kelly, Jerry S., 2013. "Uniformly bounded sufficient sets and quasitransitive social choice," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 31-35.
    • Handle: RePEc:eee:matsoc:v:65:y:2013:i:1:p:31-35
    DOI: 10.1016/j.mathsocsci.2012.06.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489612000583
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.mathsocsci.2012.06.001?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. repec:bla:econom:v:38:y:1971:i:152:p:413-20 is not listed on IDEAS
    2. Donald E. Campbell & Jerry S. Kelly, 2010. "Uniformly bounded sufficient sets and quasi‐extreme social welfare functions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(4), pages 405-412, December.
    3. Andreu Mas-Colell & Hugo Sonnenschein, 1972. "General Possibility Theorems for Group Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(2), pages 185-192.
    4. Jerry S. Kelly & Donald E. Campbell, 1998. "Quasitransitive social preference: why some very large coalitions have very little power," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 147-162.
    5. Guha, Ashok, 1972. "Neutrality, Monotonicity, and the Right of Veto," Econometrica, Econometric Society, vol. 40(5), pages 821-826, 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. 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.
    2. 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.
    3. Wesley H. Holliday & Mikayla Kelley, 2020. "A note on Murakami’s theorems and incomplete social choice without the Pareto principle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 243-253, August.
    4. 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.
    5. Susumu Cato, 2013. "Quasi-decisiveness, quasi-ultrafilter, and social quasi-orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 169-202, June.
    6. Cho, Wonki Jo & Ju, Biung-Ghi, 2017. "Multinary group identification," Theoretical Economics, Econometric Society, vol. 12(2), May.
    7. Cato, Susumu, 2017. "Unanimity, anonymity, and infinite population," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 28-35.
    8. Susumu Cato, 2014. "Menu Dependence and Group Decision Making," Group Decision and Negotiation, Springer, vol. 23(3), pages 561-577, May.
    9. 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.
    10. Susumu Cato, 2014. "Independence of irrelevant alternatives revisited," Theory and Decision, Springer, vol. 76(4), pages 511-527, April.
    11. John Weymark, 2014. "An introduction to Allan Gibbard’s oligarchy theorem paper," Review of Economic Design, Springer;Society for Economic Design, vol. 18(1), pages 1-2, March.
    12. Susumu Cato, 2013. "Social choice, the strong Pareto principle, and conditional decisiveness," Theory and Decision, Springer, vol. 75(4), pages 563-579, October.
    13. Susumu Cato, 2015. "Weak Independence and Social Semi-Orders," The Japanese Economic Review, Japanese Economic Association, vol. 66(3), pages 311-321, September.
    14. Clark, Stephen A., 1995. "Indecisive choice theory," Mathematical Social Sciences, Elsevier, vol. 30(2), pages 155-170, October.
    15. Charles Blackorby & Walter Bossert & David Donaldson, 2005. "Multi-profile welfarism: A generalization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(2), pages 253-267, April.
    16. John Duggan, 2019. "Weak rationalizability and Arrovian impossibility theorems for responsive social choice," Public Choice, Springer, vol. 179(1), pages 7-40, April.
    17. Barbera, Salvador, 1977. "The Manipulation of Social Choice Mechanisms That Do Not Leave "Too Much" to Chance," Econometrica, Econometric Society, vol. 45(7), pages 1573-1588, October.
    18. 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.
    19. Jeffrey Richelson, 1977. "Conditions on social choice functions," Public Choice, Springer, vol. 31(1), pages 79-110, September.
    20. Ehlers, Lars & Storcken, Ton, 2009. "Oligarchies in spatial environments," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 250-256, March.

    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:eee:matsoc:v:65:y:2013:i:1:p:31-35. 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/inca/505565 .

    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.