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Joint desirability foundations of social choice and opinion pooling

Casanova, Arianna ; Miranda, Enrique ; Zaffalon, Marco

In: Annals of Mathematics and Artificial Intelligence, 2021, no. 89, p. 965–1011

We develop joint foundations for the fields of social choice and opinion pooling using coherent sets of desirable gambles, a general uncertainty model that allows to encompass both complete and incomplete preferences. This leads on the one hand to a new perspective of traditional results of social choice (in particular Arrow’s theorem as well as sufficient conditions for the existence of an...