On the additivity of preference aggregation methods

Csató, László (2015) On the additivity of preference aggregation methods. Working Paper. Corvinus University of Budapest Faculty of Economics.

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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.

Item Type:Monograph (Working Paper)
Series Name:Corvinus Economics Working Papers - CEWP
Series Number / Identification Number:2015/20
Uncontrolled Keywords:preference aggregation, tournament ranking, paired comparison, additivity, axiomatic approach
JEL classification:D71 - Analysis of Collective Decision-Making: Social Choice; Clubs; Committees; Associations
Divisions:Faculty of Economics > Department of Operations Research and Actuarial Sciences
Subjects:Mathematics, Econometrics
Projects:MTA-BCE Lendület Strategic Interactions Research Group
ID Code:2161
Deposited By: Ádám Hoffmann
Deposited On:02 Dec 2015 11:21
Last Modified:02 Dec 2015 11:21

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