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Social choice, the strong Pareto principle, and conditional decisiveness

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  • Susumu Cato

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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    12. 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.
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    23. 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.
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    Cited by:

    1. Shino Takayama & Akira Yokotani, 2017. "Social choice correspondences with infinitely many agents: serial dictatorship," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 573-598, March.
    2. Susumu Cato, 2022. "Stable preference aggregation with infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 287-304, August.
    3. Susumu Cato, 2019. "The possibility of Paretian anonymous decision-making with an infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 587-601, December.
    4. 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.
    5. Cato, Susumu, 2021. "Preference aggregation and atoms in measures," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    6. Cato, Susumu, 2023. "When is weak Pareto equivalent to strong Pareto?," Economics Letters, Elsevier, vol. 222(C).
    7. Duddy, Conal & Piggins, Ashley, 2022. "Collective choice rules with social maximality," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    8. Riste Gjorgjiev & Dimitrios Xefteris, 2015. "Transitive supermajority rule relations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 299-312, October.
    9. Cato, Susumu, 2015. "Weak independent decisiveness and the existence of a unique vetoer," Economics Letters, Elsevier, vol. 131(C), pages 59-61.
    10. Cato, Susumu, 2017. "Unanimity, anonymity, and infinite population," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 28-35.

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    More about this item

    Keywords

    Arrow’s impossibility theorem; Strong Pareto; Ultrafilter; Conditional decisiveness; Serial dictatorship; D71;
    All these keywords.

    JEL classification:

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

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