Intransitive social indifference and the Arrow dilemma

  title={Intransitive social indifference and the Arrow dilemma},
  author={A. Gibbard},
  journal={Review of Economic Design},
  • A. Gibbard
  • Published 2014
  • Economics
  • Review of Economic Design
This paper deals with a proposal by Frederic Schick for resolving Arrow’s dilemma of social choice. Schick challenges Arrow’s assumption that rational social indifference is transitive. It turns out, however, that even if we drop this assumption, we still face a dilemma as embarrassing as Arrow’s. Any constitution which satisfies the remaining conditions is a liberum veto oligarchy. This means a unique set of individuals carries any issue on which it is unanimous, and engenders social… Expand
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Plural identities and preference formation
  • C. Binder
  • Mathematics, Computer Science
  • Soc. Choice Welf.
  • 2014
Under what conditions an agent can derive a transitive all-things-considered preference from a plurality of non-comparable objectives, values or judgements mirroring her plural identity is explored. Expand
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A general oligarchy theorem is proved under the assumption that this fuzzy relation is quasi-transitive, and the framework allows us to make a distinction between a “strong” and a ”weak” oligarchy. Expand
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In Arrovian social choice theory assuming the independence of irrelevant alternatives, Murakami (Logic and social choice, Dover Publications, New York, 1968) proved two theorems about complete andExpand
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Arrow's Proof and the Logic of Preference
  • F. Schick
  • Mathematics
  • Philosophy of Science
  • 1969
This paper is a critique of Kenneth Arrow's thesis concerning the logical impossibility of a constitution. I argue that one of the premises of Arrow's proof, that of the transitivity of indifference,Expand
The problem of aggregating individual preference orderings to form a social ordering took a new turn when Arrow organized the subject abstractly. We study here his celebrated theorem that fiveExpand
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