Quantum(-like) decision making: on validity of the Aumann theorem

2014/03/25 by Khrennikov, Andrei, Basieva, Irina
#FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Neurons and Cognition (q-bio.NC) #Probability (math.PR) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1403.6279

Abstract

Through set-theoretic formalization of the notion of common knowledge, Aumann proved that if two agents have the common priors, and their posteriors for a given event are common knowledge, then their posteriors must be equal. In this paper we investigate the problem of validity of this theorem in the framework of quantum(-like) decision making.

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