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Axiomatic Bayesian Utilitarianism

Richard Bradley
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Richard Bradley: LSE - Laboratoire des Sciences de l'Éducation (Grenoble) - UPMF - Université Pierre Mendès France - Grenoble 2

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Abstract: This paper investigates, within the axiomatic framework of Jeffrey-Bolker decision theory, the relation between two kinds of conditions: (1) The Utilitarian condition that social expected utility function is a weighted sum of the individual expected utility functions; and (2) Homogeneity conditions on the probability and utility functions of individuals. In particular, we show that identity of individuals' probabilities is necessary and sufficient for the Utilitarian condition to hold and that it can be derived from an earlier Pareto condition on the relation between individual and social rankings, provided that these rankings are separable in a particular sense.

Keywords: Pareto Principle; Utilitarism; Collective bayesianism; Homogeneity theorems; Principe de Pareto; Utilitarisme; Bayésianisme collectif; Bolker-Jeffrey; Savage; Théorèmes d'identité (search for similar items in EconPapers)
Date: 2003
Note: View the original document on HAL open archive server: https://hal.science/hal-00242956v1
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