Abstract
A necessary and sufficient condition for linear aggregation of SSB utility functionals is presented. Harsanyi's social aggregation theorem for von Neumann–Morgenstern utility functions is shown to be a corollary to this result. Two generalizations of Fishburn and Gehrlein's conditional linear aggregation theorem for SSB utility functionals are also established.
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Turunen-Red, A.H., Weymark, J.A. Linear Aggregation of SSB Utility Functionals. Theory and Decision 46, 281–294 (1999). https://doi.org/10.1023/A:1005068512551
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DOI: https://doi.org/10.1023/A:1005068512551