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Additive and multiplicative properties of scoring methods for preference aggregation

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  • Csató, László

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.

Suggested Citation

  • Csató, László, 2014. "Additive and multiplicative properties of scoring methods for preference aggregation," Corvinus Economics Working Papers (CEWP) 2014/03, Corvinus University of Budapest.
    • Handle: RePEc:cvh:coecwp:2014/03
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    File URL: https://unipub.lib.uni-corvinus.hu/1562/
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    Cited by:

    1. László Csató, 2017. "On the ranking of a Swiss system chess team tournament," Annals of Operations Research, Springer, vol. 254(1), pages 17-36, July.

    More about this item

    Keywords

    Preference aggregation; Tournament ranking; Paired comparison; Axiomatic approach;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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