HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Ordering Pareto-Optima Through Majority Voting

Abstract : A commodity is shared between some individuals: there is an initial allocation; some selection procedures are used to choose an alternative allocation and individuals decide between keeping the initial allocation or shifting to the alternative allocation. The selection procedures are supposed to involve an element of randomness in order to reflect uncertainty about economic, social and political processes. It is shown that for every allocation, λ, there exists a number, ζ(λ)set membership, variant[0, 1], such that, if the number of individuals tends to infinity, then the probability that a proportion of the population smaller (resp. larger) than ζ(λ) prefers an allocation chosen by the selection procedure converges to 1 (resp. 0). The index ζ(λ) yields a complete order in the set of Pareto optimal allocations. Illustrations and interpretations of the selection procedures are provided.
Document type :
Journal articles
Complete list of metadata

Contributor : Spire Sciences Po Institutional Repository Connect in order to contact the contributor
Submitted on : Friday, March 4, 2022 - 4:37:10 PM
Last modification on : Saturday, March 5, 2022 - 3:30:50 AM


  • HAL Id : hal-03598163, version 1
  • SCIENCESPO : 2441/10271



Hervé Crès, Mich Tvede. Ordering Pareto-Optima Through Majority Voting. Mathematical Social Sciences, Elsevier, 2001, 41 (3), pp.295 - 325. ⟨hal-03598163⟩



Record views