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Social choice, the strong Pareto principle, and conditional decisiveness

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  • Susumu Cato

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Abstract

This paper examines social choice theory with the strong Pareto principle. The notion of conditional decisiveness is introduced to clarify the underlying power structure behind strongly Paretian aggregation rules satisfying binary independence. We discuss the various degrees of social rationality: transitivity, semi-transitivity, the interval-order property, quasi-transitivity, and acyclicity. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Susumu Cato, 2013. "Social choice, the strong Pareto principle, and conditional decisiveness," Theory and Decision, Springer, vol. 75(4), pages 563-579, October.
  • Handle: RePEc:kap:theord:v:75:y:2013:i:4:p:563-579
    DOI: 10.1007/s11238-013-9352-9
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    References listed on IDEAS

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    1. Blau, Julian H., 1979. "Semiorders and collective choice," Journal of Economic Theory, Elsevier, vol. 21(1), pages 195-206, August.
    2. Peter C. Fishburn, 1975. "Axioms for Lexicographic Preferences," Review of Economic Studies, Oxford University Press, vol. 42(3), pages 415-419.
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    6. Bossert, Walter & Suzumura, Kotaro, 2008. "A characterization of consistent collective choice rules," Journal of Economic Theory, Elsevier, vol. 138(1), pages 311-320, January.
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    8. Donald J. Brown, 1975. "Aggregation of Preferences," The Quarterly Journal of Economics, Oxford University Press, vol. 89(3), pages 456-469.
    9. Walter Bossert & Kotaro Suzumura, 2011. "Multi-profile intergenerational social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 493-509, September.
    10. Blair, Douglas H. & Pollak, Robert A., 1979. "Collective rationality and dictatorship: The scope of the arrow theorem," Journal of Economic Theory, Elsevier, vol. 21(1), pages 186-194, August.
    11. Cato, Susumu, 2013. "Remarks on Suzumura consistent collective choice rules," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 40-47.
    12. Kirman, Alan P. & Sondermann, Dieter, 1972. "Arrow's theorem, many agents, and invisible dictators," Journal of Economic Theory, Elsevier, vol. 5(2), pages 267-277, October.
    13. John Ferejohn & Talbot Page, 1978. "On the Foundations of Intertemporal Choice," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 60(2), pages 269-275.
    14. 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.
    15. Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," Review of Economic Studies, Oxford University Press, vol. 36(3), pages 381-393.
    16. Edward Packel, 1980. "Impossibility results in the axiomatic theory of intertemporal choice," Public Choice, Springer, vol. 35(2), pages 219-227, January.
    17. 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.
    18. 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.
    19. Bengt Hansson, 1976. "The existence of group preference functions," Public Choice, Springer, vol. 28(1), pages 89-98, December.
    20. Campbell, Donald E. & Kelly, Jerry S., 2002. "Impossibility theorems in the arrovian framework," 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 1, pages 35-94 Elsevier.
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    23. Susumu Cato, 2011. "Pareto principles, positive responsiveness, and majority decisions," Theory and Decision, Springer, vol. 71(4), pages 503-518, October.
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    1. repec:spr:etbull:v:3:y:2015:i:2:d:10.1007_s40505-014-0060-6 is not listed on IDEAS
    2. Cato, Susumu, 2015. "Weak independent decisiveness and the existence of a unique vetoer," Economics Letters, Elsevier, vol. 131(C), pages 59-61.
    3. repec:eee:mateco:v:71:y:2017:i:c:p:28-35 is not listed on IDEAS

    More about this item

    Keywords

    Arrow’s impossibility theorem; Strong Pareto; Ultrafilter; Conditional decisiveness; Serial dictatorship; D71;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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