Manipulability, unanimity, anonymity and merging functions |
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Authors: | Antonio Quesada |
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Institution: | (1) P.O. Box 2046, E-08907 L'Hospitalet de Llobregat, Spain (e-mail: estinnobis@retemail.es), ES |
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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.
Received: 21 November 1997/Accepted: 31 May 1999 |
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Keywords: | |
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