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Social evaluation functionals: a gateway to continuity in social choice

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  • Juan Candeal

Abstract

This paper develops social choice theory aggregating individual utility functions to a social utility function. Such a tool allows me to deal with a natural notion of continuity in social choice theory. In addition, and in order to have the choice problem as close as possible to its beginnings, the social evaluation functionals considered are assumed to satisfy both ordinal measurability and interpersonal non-comparability, and unanimity. I present two results concerning the characterization of projective social evaluation functionals (which means that the social utility function is exactly the utility of the dictator). The first one needs a strong form of welfarism called social state separability. The second one uses continuity in combination with a new axiom called ordinal-scale-preserving. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Juan Candeal, 2015. "Social evaluation functionals: a gateway to continuity in social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 369-388, February.
    • Handle: RePEc:spr:sochwe:v:44:y:2015:i:2:p:369-388
    DOI: 10.1007/s00355-014-0832-9
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    References listed on IDEAS

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    1. Ovchinnikov, Sergei, 1996. "Means on ordered sets," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 39-56, August.
    2. Juan Candeal, 2013. "Invariance axioms for preferences: applications to social choice theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 453-471, September.
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    Cited by:

    1. Juan C. Candeal, 2023. "Social evaluation functionals with an arbitrary set of alternatives," Theory and Decision, Springer, vol. 95(2), pages 255-271, August.

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    More about this item

    Keywords

    C60; C65; D60; D63;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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