<p>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.</p>

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When is a centrally symmetric set of priors also rectangular?

  • Pascal Toquebeuf

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.