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Kenneth Arrow’s work on social welfare proposed a set of conditions that a function to aggregate ordinal
preferences of the members of a group should satisfy, proving that it was not possible to satisfy all these
assumptions simultaneously. Later, Ralph Keeney adapted these conditions and proposed a cardinal utility
axiomatization for the problem of aggregating the utility functions. This note discusses in particular the condition
of nondictatorship. It proposes stronger formulations for this condition to limit the maximum influence that
an individual can have, and it presents the corresponding characterization of compliant group cardinal utility
functions. An extension to address coalitions of individuals acting strategically is also discussed.
Descrição
Palavras-chave
group utility functions multiattribute utility theory additive model