Additive and multiplicative properties of scoring methods for preference aggregation

Csató, László (2014) Additive and multiplicative properties of scoring methods for preference aggregation. Working Paper. Corvinus University of Budapest Faculty of Economics, Budapest.

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The paper reviews some additive and multiplicative properties of ranking procedures used for generalized tournaments with missing values and multiple comparisons. The methods analysed are the score, generalised row sum and least squares as well as fair bets and its variants. It is argued that generalised row sum should be applied not with a fixed parameter, but a variable one proportional to the number of known comparisons. It is shown that a natural additive property has strong links to independence of irrelevant matches, an axiom judged unfavourable when players have different opponents.

Item Type:Monograph (Working Paper)
Series Name:Corvinus Economics Working Papers - CEWP
Series Number / Identification Number:2014/03
Uncontrolled Keywords:Preference aggregation, Tournament ranking, Paired comparison, Axiomatic approach
JEL classification:D71 - Analysis of Collective Decision-Making: Social Choice; Clubs; Committees; Associations
Subjects:Mathematics, Econometrics
Projects:MTA-BCE "Lendület" Strategic Interactions Research Group
ID Code:1562
Deposited By: Ádám Hoffmann
Deposited On:19 May 2014 12:32
Last Modified:25 Jul 2014 12:01

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