Belief inducibility and informativeness

P. Jean-Jacques Herings, Dominik Karos, Toygar Kerman

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingAcademicpeer-review


We consider a group of receivers who share a common prior on a finite state space and who observe private correlated signals that are contingent on the true state of the world. We show that, while necessary, Bayes plausibility is not sufficient for a distribution over posterior belief vectors to be inducible, and we provide a characterization of inducible distributions. We classify communication strategies as minimal, direct, and language independent, and we show that any inducible distribution can be induced by a language independent communication strategy (LICS). We investigate the role of the different classes of communication strategies for the amount of higher order information that is revealed to receivers. We show that the least informative communication strategy which induces a fixed distribution over posterior belief vectors lies in the relative interior of the set of all language independent communication strategies which induce that distribution.
Original languageEnglish
Title of host publicationProceedings of the Eighteenth Conference on Theoretical Aspects of Rationality and Knowledge, Beijing, China, June 25-27, 2021 (EPTCS 335)
EditorsJoseph Halpern, Andrés Perea
PublisherCornell University - arXiv
Publication statusPublished - 22 Jun 2021
Event18th Conference on Theoretical Aspects of Rationality and Knowledge - Beijing, China
Duration: 25 Jun 202127 Jun 2021
Conference number: 18

Publication series

SeriesElectronic Proceedings in Theoretical Computer Science


Conference18th Conference on Theoretical Aspects of Rationality and Knowledge
Abbreviated titleTARK 2021


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