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On the additivity of preference aggregation methods

Author

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  • Csató, László

Abstract

The paper reviews some axioms of additivity concerning ranking methods used for generalized tournaments with possible missing values and multiple comparisons. It is shown that one of the most natural properties, called consistency, has strong links to independence of irrelevant comparisons, an axiom judged unfavourable when players have different opponents. Therefore some directions of weakening consistency are suggested, and several ranking methods, the score, generalized row sum and least squares as well as fair bets and its two variants (one of them entirely new) are analysed whether they satisfy the properties discussed. It turns out that least squares and generalized row sum with an appropriate parameter choice preserve the relative ranking of two objects if the ranking problems added have the same comparison structure.

Suggested Citation

  • Csató, László, 2015. "On the additivity of preference aggregation methods," Corvinus Economics Working Papers (CEWP) 2015/20, Corvinus University of Budapest.
    • Handle: RePEc:cvh:coecwp:2015/20
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    File URL: https://unipub.lib.uni-corvinus.hu/2161/
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    More about this item

    Keywords

    preference aggregation; tournament ranking; paired comparison; additivity; axiomatic approach;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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