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Conditions on social-preference cycles

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  • Susumu Cato

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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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    File URL: http://hdl.handle.net/10.1007/s11238-014-9457-9
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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," Review of Economic Studies, Oxford University Press, vol. 39(2), pages 185-192.
    2. Truchon M., 1996. "Voting games and acyclic collective choice rules," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 55-55, February.
    3. Ferejohn, John A. & Fishburn, Peter C., 1979. "Representations of binary decision rules by generalized decisiveness structures," Journal of Economic Theory, Elsevier, vol. 21(1), pages 28-45, August.
    4. Weber, James S, 1993. "An Elementary Proof of the Conditions for a Generalized Condorcet Paradox," Public Choice, Springer, vol. 77(2), pages 415-419, October.
    5. Bossert, Walter & Suzumura, Kotaro, 2008. "A characterization of consistent collective choice rules," Journal of Economic Theory, Elsevier, vol. 138(1), pages 311-320, January.
    6. Donald J. Brown, 1975. "Aggregation of Preferences," The Quarterly Journal of Economics, Oxford University Press, vol. 89(3), pages 456-469.
    7. Le Breton, M. & Truchon, M., 1993. "Acyclicity and the Dispersion of the Veto Power," Papers 9317, Laval - Recherche en Politique Economique.
    8. Truchon, Michel, 1996. "Acyclicity and Decisiveness Structures," Journal of Economic Theory, Elsevier, vol. 69(2), pages 447-469, May.
    9. David Kelsey, 1984. "Acyclic Choice without the Pareto Principle," Review of Economic Studies, Oxford University Press, vol. 51(4), pages 693-699.
    10. 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.
    11. William Gehrlein & Peter Fishburn, 1976. "Condorcet's paradox and anonymous preference profiles," Public Choice, Springer, vol. 26(1), pages 1-18, June.
    12. 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.
    13. Gordon Tullock, 2005. "Problems of Voting," Public Choice, Springer, vol. 123(1), pages 49-58, April.
    14. 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.
    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. Sanver, M. Remzi & Selçuk, Özer, 2010. "A characterization of the Copeland solution," Economics Letters, Elsevier, vol. 107(3), pages 354-355, June.
    17. Blair, Douglas H & Pollak, Robert A, 1982. "Acyclic Collective Choice Rules," Econometrica, Econometric Society, vol. 50(4), pages 931-943, July.
    18. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    19. Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-390, November.
    20. repec:cup:apsrev:v:55:y:1961:i:04:p:900-911_12 is not listed on IDEAS
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    More about this item

    Keywords

    Voting mechanism; Social-preference cycle; Voting paradox; Decisiveness; Generalization; D71; D72;

    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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