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Characterization of social choice sets in terms of individuals' maximal sets: The fixed agenda framework

Author

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  • Josep E. Peris

    (Departament de Fonaments de l'Anàlisi Econòmica, Universitat d'Alacant, 03080 Alacant, Spain)

  • M. Carmen Sánchez

    (Departamento de Fundamentos del Análisis Económico, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo, Murcia, Spain)

Abstract

In this paper we analyze the explicit representation of fixed agenda social choice correspondences under different rationality assumptions (independence, Pareto optimality, etc.). It is well known that, under some of these assumptions, the existence of dictators, oligarchies or individuals with veto power can be proven ([6] and [10]); but only a partial characterization of the social choice set is obtained. We establish a relationship between the social choice set and the individuals' maximal sets, which explicitly describes a fixed agenda social choice correspondence that satisfies these rationality assumptions.

Suggested Citation

  • Josep E. Peris & M. Carmen Sánchez, 2001. "Characterization of social choice sets in terms of individuals' maximal sets: The fixed agenda framework," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 113-127.
    • Handle: RePEc:spr:sochwe:v:18:y:2001:i:1:p:113-127
    Note: Received: 30 December 1997/Accepted: 20 December 1999
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    Cited by:

    1. Sanchez, M.Carmen & Peris, Josep E., 2006. "Hierarchies of power in non-binary social choice," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 843-853, November.
    2. Duddy, Conal & Piggins, Ashley, 2022. "Collective choice rules with social maximality," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    3. Duddy, Conal & Piggins, Ashley, 2020. "A foundation for Pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 25-30.
    4. Saralees Nadarajah, 2009. "The Pareto optimality distribution," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(6), pages 993-998, November.

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