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Conditions on social-preference cycles

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  • Susumu Cato

Abstract

Since Condorcet discovered the voting paradox in the simple majority rule, many scholars have tried to investigate conditions that yield “social-preference cycles”. The paradox can be extended to two main approaches. On the one hand, Kenneth Arrow developed a general framework of social choice theory; on the other hand, direct generalizations of the paradox were offered. The motivation and surface meaning of the two approaches are different, as are the assumed background conditions. In this paper, we investigate the relationship between the two approaches by taking a close look at two works, Ferejohn and Fishburn (J Econ Theory 21:28–45, 1979 ) and Schwartz (J Econ Theory 137:688–695, 2007 ). Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Susumu Cato, 2015. "Conditions on social-preference cycles," Theory and Decision, Springer, vol. 79(1), pages 1-13, July.
    • Handle: RePEc:kap:theord:v:79:y:2015:i:1:p:1-13
    DOI: 10.1007/s11238-014-9457-9
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    References listed on IDEAS

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    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. Truchon M., 1996. "Voting games and acyclic collective choice rules," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 55-55, February.
    3. Bossert, Walter & Suzumura, Kotaro, 2008. "A characterization of consistent collective choice rules," Journal of Economic Theory, Elsevier, vol. 138(1), pages 311-320, January.
    4. Le Breton, M. & Truchon, M., 1993. "Acyclicity and the Dispersion of the Veto Power," Papers 9317, Laval - Recherche en Politique Economique.
    5. Truchon, Michel, 1996. "Acyclicity and Decisiveness Structures," Journal of Economic Theory, Elsevier, vol. 69(2), pages 447-469, May.
    6. David Kelsey, 1984. "Acyclic Choice without the Pareto Principle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 693-699.
    7. Sen, Amartya K, 1979. "Personal Utilities and Public Judgements: Or What's Wrong with Welfare Economics?," Economic Journal, Royal Economic Society, vol. 89(355), pages 537-558, September.
    8. William Gehrlein & Peter Fishburn, 1976. "Condorcet's paradox and anonymous preference profiles," Public Choice, Springer, vol. 26(1), pages 1-18, June.
    9. Schwartz, Thomas, 2007. "A procedural condition necessary and sufficient for cyclic social preference," Journal of Economic Theory, Elsevier, vol. 137(1), pages 688-695, November.
    10. Brams, Steven J. & Fishburn, Peter C., 2002. "Voting procedures," 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 4, pages 173-236, Elsevier.
    11. 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.
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    14. Riker, William H., 1961. "Voting and the Summation of Preferences: An interpretive Bibliographical Review of Selected Developments During the Last Decade," American Political Science Review, Cambridge University Press, vol. 55(4), pages 900-911, December.
    15. 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.
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    More about this item

    Keywords

    Voting mechanism; Social-preference cycle; Voting paradox; Decisiveness; Generalization; D71; D72;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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