Incomplete Information

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In interactive contexts such as games and economies, it is important to take account not only of what the players believe about substantive matters (such as payoffs), but also of what they believe about the beliefs of other players. Two different but equivalent ways of dealing with this matter, the semantic and the syntactic, are set forth. Canonical and universal semantic systems are then defined and constructed, and the concepts of common knowledge and common priors formulated and characterized. The last two sections discuss relations with Bayesian games of incomplete information and their applications, and with interactive epistemology - the theory of multi-agent knowledge and belief as formulated in mathematical logic.

Original languageEnglish
Title of host publicationWorld Scientific Series in Economic Theory
EditorsRobert J Aumann
PublisherWorld Scientific
Number of pages30
StatePublished - 1 Dec 2023

Publication series

NameWorld Scientific Series in Economic Theory
ISSN (Print)2251-2071

Bibliographical note

Publisher Copyright:
© 2023 World Scientific Publishing Co. Pte Ltd. All rights reserved.


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