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Collective Choice for Simple Preferences

In: Handbook on Approval Voting

Author

Listed:
  • Biung-Ghi Ju

    (Korea University)

Abstract

Individual preferences often take simple structures in some restricted environments. The so-called universal domain assumption in the three impossibility results by Arrow (1951), Sen (1970a,b), and Gibbard (1973) and Satterthwaite (1975) have been scrutinized and (partially) abandoned in numerous later studies, which do not intend to identify well-behaved social welfare functions that “would be universal in the sense that it would be applicable to any community” (Arrow 1951, p. 24). Important breakthroughs have been made in this line of research: Gaertner (2002) provides a comprehensive survey of the literature on domain restrictions.

Suggested Citation

  • Biung-Ghi Ju, 2010. "Collective Choice for Simple Preferences," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 41-90, Springer.
    • Handle: RePEc:spr:stcchp:978-3-642-02839-7_4
    DOI: 10.1007/978-3-642-02839-7_4
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    Citations

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    Cited by:

    1. Eric Kamwa, 2023. "On Two Voting systems that combine approval and preferences: Fallback Voting and Preference Approval Voting," Working Papers hal-03614585, HAL.
    2. Miller, Alan D., 2013. "Community standards," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2696-2705.
    3. Eric Kamwa, 2019. "Condorcet efficiency of the preference approval voting and the probability of selecting the Condorcet loser," Theory and Decision, Springer, vol. 87(3), pages 299-320, October.
    4. Federica Ceron & Stéphane Gonzalez, 2019. "A characterization of Approval Voting without the approval balloting assumption," Working Papers halshs-02440615, HAL.
    5. François Maniquet & Philippe Mongin, 2015. "Approval voting and Arrow’s impossibility theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 519-532, March.
    6. Komatsu, Hiroyuki, 2024. "Characterizations of approval ranking," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 18-24.
    7. Alós-Ferrer, Carlos & Buckenmaier, Johannes, 2019. "Strongly sincere best responses under approval voting and arbitrary preferences," Games and Economic Behavior, Elsevier, vol. 117(C), pages 388-401.
    8. Eric Kamwa, 2018. "On the Condorcet Efficiency of the Preference Approval Voting and the Probability of Selecting the Condorcet Loser," Working Papers hal-01786121, HAL.
    9. José Alcantud & Annick Laruelle, 2014. "Dis&approval voting: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 1-10, June.

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