Open Access
2020 Bounds on the probability of radically different opinions
Krzysztof Burdzy, Jim Pitman
Electron. Commun. Probab. 25: 1-12 (2020). DOI: 10.1214/20-ECP296

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.

Citation

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Krzysztof Burdzy. Jim Pitman. "Bounds on the probability of radically different opinions." Electron. Commun. Probab. 25 1 - 12, 2020. https://doi.org/10.1214/20-ECP296

Information

Received: 19 March 2019; Accepted: 31 January 2020; Published: 2020
First available in Project Euclid: 10 February 2020

zbMATH: 07204036
MathSciNet: MR4069734
Digital Object Identifier: 10.1214/20-ECP296

Subjects:
Primary: 60E15

Keywords: conditional probability , joint distribution of conditional expectations , maximal inequality , opinion

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