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Bounds on the probability of radically different opinions

2019/03/18 by Krzysztof Burdzy, Burdzy, Krzysztof, Jim Pitman +1 · 1 citation
Mathematics · #60E15 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60E15

paper · pdf · doi:10.48550/arxiv.1903.07773

arxiv created 2019/03/18 · arxiv updated 2019/03/20

Abstract

We establish bounds on the probability that two different agents, who share an initial opinion expressed as a probability distribution on an abstract probability space, given two different sources of information, may come to radically different opinions regarding the conditional probability of the same event.

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