Belief inducibility and informativeness

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

doi:10.4204/eptcs.335.16

Belief inducibility and informativeness

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

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceeding › Academic › peer-review

Abstract

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 language	English
Title of host publication	Proceedings of the Eighteenth Conference on Theoretical Aspects of Rationality and Knowledge, Beijing, China, June 25-27, 2021 (EPTCS 335)
Editors	Joseph Halpern, Andrés Perea
Publisher	Cornell University - arXiv
Pages	187-188
Volume	335
DOIs	https://doi.org/10.4204/eptcs.335.16
Publication status	Published - 22 Jun 2021
Event	18th Conference on Theoretical Aspects of Rationality and Knowledge - Beijing, China Duration: 25 Jun 2021 → 27 Jun 2021 Conference number: 18

Publication series

Series	Electronic Proceedings in Theoretical Computer Science
ISSN	2075-2180

Conference

Conference	18th Conference on Theoretical Aspects of Rationality and Knowledge
Abbreviated title	TARK 2021
Country/Territory	China
City	Beijing
Period	25/06/21 → 27/06/21

Access to Document

10.4204/eptcs.335.16Licence: CC BY-NC-ND

Cite this

Herings, P. Jean-Jacques ; Karos, Dominik ; Kerman, Toygar. / Belief inducibility and informativeness. Proceedings of the Eighteenth Conference on Theoretical Aspects of Rationality and Knowledge, Beijing, China, June 25-27, 2021 (EPTCS 335). editor / Joseph Halpern ; Andrés Perea. Vol. 335 Cornell University - arXiv, 2021. pp. 187-188 (Electronic Proceedings in Theoretical Computer Science).

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author = "Herings, {P. Jean-Jacques} and Dominik Karos and Toygar Kerman",

note = "data source: no data used ; 18th Conference on Theoretical Aspects of Rationality and Knowledge, TARK 2021 ; Conference date: 25-06-2021 Through 27-06-2021",

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pages = "187--188",

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Herings, PJ-J, Karos, D & Kerman, T 2021, Belief inducibility and informativeness. in J Halpern & A Perea (eds), Proceedings of the Eighteenth Conference on Theoretical Aspects of Rationality and Knowledge, Beijing, China, June 25-27, 2021 (EPTCS 335). vol. 335, Cornell University - arXiv, Electronic Proceedings in Theoretical Computer Science, pp. 187-188, 18th Conference on Theoretical Aspects of Rationality and Knowledge, Beijing, China, 25/06/21. https://doi.org/10.4204/eptcs.335.16

Belief inducibility and informativeness. / Herings, P. Jean-Jacques; Karos, Dominik; Kerman, Toygar.
Proceedings of the Eighteenth Conference on Theoretical Aspects of Rationality and Knowledge, Beijing, China, June 25-27, 2021 (EPTCS 335). ed. / Joseph Halpern; Andrés Perea. Vol. 335 Cornell University - arXiv, 2021. p. 187-188 (Electronic Proceedings in Theoretical Computer Science).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceeding › Academic › peer-review

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N2 - 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.

AB - 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.

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Herings PJJ, Karos D, Kerman T. Belief inducibility and informativeness. In Halpern J, Perea A, editors, Proceedings of the Eighteenth Conference on Theoretical Aspects of Rationality and Knowledge, Beijing, China, June 25-27, 2021 (EPTCS 335). Vol. 335. Cornell University - arXiv. 2021. p. 187-188. (Electronic Proceedings in Theoretical Computer Science). doi: 10.4204/eptcs.335.16