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This leads on the one hand to a new perspective of traditional results of social choice (in particular Arrow\u2019s theorem as well as sufficient conditions for the existence of an oligarchy and democracy) and on the other hand to using the same framework to analyse opinion pooling. In particular, we argue that weak Pareto (unanimity) should be given the status of a rationality requirement and use this to discuss the aggregation of experts\u2019 opinions based on probability and (state-independent) utility, showing some inherent limitation of this framework, with implications for statistics. 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