Belief-Averaged Relative Utilitarianism
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We study preference aggregation under uncertainty when individual and collective preferences are based on subjective expected utility. A natural procedure for determining the collective preferences of a group then is to average its members' beliefs and add up their (0,1)-normalized utility functions. This procedure extends the well-known relative utilitarianism to decision making under uncertainty. We show that it is the only aggregation function that gives tie-breaking rights to agents who join a group and satisfies an independence condition in the spirit of Arrow's independence of irrelevant alternatives as well as four undiscriminating axioms.
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