Additive and multiplicative properties of scoring methods for preference aggregation

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.

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Year of publication:	2014
Authors:	Csató, László
Publisher:	Corvinus University of Budapest Faculty of Economics
Subject:	Mathematics \| Econometrics

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Type of publication:	Book / Working Paper
Notes:	Csató, László (2014) Additive and multiplicative properties of scoring methods for preference aggregation. Working Paper. Corvinus University of Budapest Faculty of Economics, Budapest.
Source:	BASE