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Characterizations of scoring methodsfor preference aggregation

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  • Pavel Yu. Chebotarev
  • Elena Shamis

Abstract

The paper surveys more than forty characterizations of scoring methods for preferenceaggregation and contains one new result. A general scoring operator is self-consistent ifalternative i is assigned a greater score than j whenever i gets no worse (better) results ofcomparisons and its “opponents” are assigned, respectively, greater (no smaller) scores thanthose of j. We prove that self-consistency is satisfied if and only if the application of ascoring operator reduces to the solution of a homogeneous system of algebraic equationswith a monotone function on the left-hand side. Copyright Kluwer Academic Publishers 1998

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  • Pavel Yu. Chebotarev & Elena Shamis, 1998. "Characterizations of scoring methodsfor preference aggregation," Annals of Operations Research, Springer, vol. 80(0), pages 299-332, January.
    • Handle: RePEc:spr:annopr:v:80:y:1998:i:0:p:299-332:10.1023/a:1018928301345
    DOI: 10.1023/A:1018928301345
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