Social Choice and Welfare

, Volume 2, Issue 2, pp 147–160 | Cite as

Choice functions over a finite set: A summary

  • H. Moulin


A choice function picks some outcome(s) from every issue (subset of a fixed set A of outcomes). When is this function derived from one preference relation on A (the choice set being then made up of the best preferred outcomes within the issue), or from several preference relations (the choice set being then the Pareto optimal outcome within the issue, or the union of the best preferred outcomes for each preference relation)? A complete and unified treatment of these problems is given based on three functional properties of the choice function. None of the main results is original.


Economic Theory Functional Property Optimal Outcome Preference Relation Choice Function 
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  1. Aizerman MA (1983) New problems in the general choice theory. Mimeo, Institute of Control Sciences, MoscowGoogle Scholar
  2. Aizerman MA, Malishevski AV (1981) General theory of best variants choice. IEEE Trans. Automat Control:1030–1041.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • H. Moulin
    • 1
  1. 1.Department of EconomicsVirginia Polytechnic Institute and State UniversityBlacksburgUSA

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