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Separability and aggregation of equivalence relations

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  • Dinko Dimitrov
  • Thierry Marchant
  • Debasis Mishra

Abstract

We provide axiomatic characterizations of two natural families of rules for aggregating equivalence relations: the family of join aggregators and the family of meet aggregators. The central conditions in these characterizations are two separability axioms. Disjunctive separability, neutrality, and unanimity characterize the family of join aggregators. On the other hand, conjunctive separability and unanimity characterize the family of meet aggregators. We show another characterization of the family of meet aggregators using conjunctive separability and two Pareto axioms, Pareto + and Pareto − . If we drop Pareto − , then conjunctive separability and Pareto + characterize the family of meet aggregators along with a trivial aggregator. Copyright Springer-Verlag 2012

Suggested Citation

  • Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2012. "Separability and aggregation of equivalence relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 191-212, September.
    • Handle: RePEc:spr:joecth:v:51:y:2012:i:1:p:191-212
    DOI: 10.1007/s00199-011-0601-2
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    10. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
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    10. Christopher Chambers & Alan Miller, 2011. "Rules for aggregating information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(1), pages 75-82, January.

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    More about this item

    Keywords

    Aggregation; Equivalence relations; Separability; Unanimity; Pareto axiom; C0; D0;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • D0 - Microeconomics - - General

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