TY - JOUR
T1 - The bayesian formulation of incomplete information - The non-compact case
AU - Heifetz, Aviad
N1 - Copyright:
Copyright 2007 Elsevier B.V., All rights reserved.
PY - 1993/12
Y1 - 1993/12
N2 - In a game with incomplete information, a player may have beliefs about nature, about the other players' beliefs about nature, and so on, in an infinite hierarchy. We generalize a construction of Mertens & Zamir and show, that if nature is any Hausdorff space, and beliefs are regular Borel probability measures, then the space of all such infinite hierarchies of the players is a product of nature and the types of every player, where a type of a player is a belief about nature and the other players' types.
AB - In a game with incomplete information, a player may have beliefs about nature, about the other players' beliefs about nature, and so on, in an infinite hierarchy. We generalize a construction of Mertens & Zamir and show, that if nature is any Hausdorff space, and beliefs are regular Borel probability measures, then the space of all such infinite hierarchies of the players is a product of nature and the types of every player, where a type of a player is a belief about nature and the other players' types.
UR - http://www.scopus.com/inward/record.url?scp=34250085314&partnerID=8YFLogxK
U2 - 10.1007/BF01240148
DO - 10.1007/BF01240148
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AN - SCOPUS:34250085314
SN - 0020-7276
VL - 21
SP - 329
EP - 338
JO - International Journal of Game Theory
JF - International Journal of Game Theory
IS - 4
ER -