Peer-Reviewed Journal Details
Mandatory Fields
Duddy, C,Piggins, A
2018
December
Social Choice And Welfare
On some oligarchy results when social preference is fuzzy
Published
WOS: 1 ()
Optional Fields
COLLECTIVE CHOICE RULES STRICT PREFERENCE ARROW THEOREM AGGREGATION TRANSITIVITY IMPOSSIBILITY INDIFFERENCE DIFFERENCE DECISIONS PROOFS
51
717
735
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.
10.1007/s00355-018-1134-4
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