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Manipulability, unanimity, anonymity and merging functions

Author

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  • Antonio Quesada

    (P.O. Box 2046, E-08907 L'Hospitalet de Llobregat, Spain)

Abstract

A merging (or assessment aggregation) function (see [7]) is a rule that synthesizes several individual assessments, or numerical judgements, by creating a unique "collective" assessment. Individual i can manipulate assessment aggregation if the change in the merged assessment due to a change in i's assessment from x to y depends solely on x and y. Some assumptions on the functional form capturing this dependence are put forward and their effects on aggregation investigated under unanimity and anonymity conditions using a functional equation approach. Attention is restricted to three types of results: the merging function does not exist; it is the arithmetic mean; it is dictatorial.

Suggested Citation

  • Antonio Quesada, 2000. "Manipulability, unanimity, anonymity and merging functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 481-506.
    • Handle: RePEc:spr:sochwe:v:17:y:2000:i:3:p:481-506
    Note: Received: 21 November 1997/Accepted: 31 May 1999
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