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On some oligarchy results when social preference is fuzzy

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  • Conal Duddy

    (National University of Ireland Galway)

  • Ashley Piggins

    (National University of Ireland Galway)

Abstract

We consider a model in which individual preferences are orderings of social states, but the social preference relation is fuzzy. We motivate interest in the model by presenting a version of the strong Pareto rule that is suited to the setting of a fuzzy social preference. We prove a general oligarchy theorem under the assumption that this fuzzy relation is quasi-transitive. The framework allows us to make a distinction between a “strong” and a “weak” oligarchy, and our theorem identifies when the oligarchy must be strong and when it can be weak. Weak oligarchy need not be undesirable.

Suggested Citation

  • Conal Duddy & Ashley Piggins, 2018. "On some oligarchy results when social preference is fuzzy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 717-735, December.
    • Handle: RePEc:spr:sochwe:v:51:y:2018:i:4:d:10.1007_s00355-018-1134-4
    DOI: 10.1007/s00355-018-1134-4
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