A Note on a Group Preference Axiomatization with Cardinal Utility
Luis Dias and
Paula Sarabando ()
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Paula Sarabando: Polytechnic Institute of Viseu, 3504-510 Viseu, Portugal; and INESC Coimbra, 3000-033 Coimbra, Portugal
Decision Analysis, 2012, vol. 9, issue 3, 231-237
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.
Keywords: group utility functions; multiattribute utility theory; additive model (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ordeca:v:9:y:2012:i:3:p:231-237
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