Additive and multiplicative properties of scoring methods for preference aggregation
AbstractThe 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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Bibliographic InfoPaper provided by Corvinus University of Budapest in its series Corvinus Economics Working Papers (CEWP) with number 1562.
Date of creation: 2014
Date of revision:
Preference aggregation; Tournament ranking; Paired comparison; Axiomatic approach;
Find related papers by JEL classification:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2014-05-24 (All new papers)
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