Additive and multiplicative properties of scoring methods for preference aggregation

László Csató

Corvinus Economics Working Papers (CEWP) from Corvinus University of Budapest

Abstract: 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.

Keywords: Preference aggregation; Tournament ranking; Paired comparison; Axiomatic approach (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2014
New Economics Papers: this item is included in nep-mic
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:cvh:coecwp:2014/03

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