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Uniformly bounded sufficient sets and quasitransitive social choice

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. repec:bla:econom:v:38:y:1971:i:152:p:413-20 is not listed on IDEAS
    4. 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.
    5. Guha, Ashok, 1972. "Neutrality, Monotonicity, and the Right of Veto," Econometrica, Econometric Society, vol. 40(5), pages 821-826, September.
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