TY - CHAP
T1 - Chapter 43 Incomplete information
AU - Aumann, Robert J.
AU - Heifetz, Aviad
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
KW - common priors
KW - incomplete or differential information
KW - interactive epistemology
KW - semantic belief systems
KW - syntactic belief systems
UR - http://www.scopus.com/inward/record.url?scp=67649354441&partnerID=8YFLogxK
U2 - 10.1016/S1574-0005(02)03006-0
DO - 10.1016/S1574-0005(02)03006-0
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AN - SCOPUS:67649354441
SN - 9780444894281
T3 - Handbook of Game Theory with Economic Applications
SP - 1665
EP - 1686
BT - Handbook of Game Theory with Economic Applications
A2 - Aumann, Robert
A2 - Hart, Sergiu
ER -