When is a centrally symmetric set of priors also rectangular?
摘要
This paper investigates the compatibility of the properties of rectangularity and central symmetry for the set of probabilities in the alpha-Maxmin Expected Utility model. In this framework, rectangularity is the condition that ensures dynamic consistency. We show that when a set of probabilities is centrally symmetric, this requirement forces a strict trade-off: ambiguity, defined as non-singleton beliefs, must vanish either for the marginal probabilities over partitions or for the conditional probabilities given partition elements at each stage of the filtration.