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- catalog abstract "An interactive belief model is a description of the beliefs held by the players in a game about other players' strategies and payoffs, about other players' beliefs about these objects, and so on. This paper develops such a formalism, when the players have abstract, non-probabilistic beliefs. Specifically, it is assumed that the events a player believes happen constitute a filter, which means that, for any event E, the trichotomy holds: (i) the player believes that E will happen, or (ii) the player believes that E will not happen, or (iii) the player believes that E may or may not happen. An interactive belief model is called complete if it contains all beliefs that are possible in the model. It is shown that a complete filter-theoretic interactive belief model does not exist. This non-existence result is extended to the situation where players form conditional beliefs, i.e. beliefs conditional on their knowledge, as is the case in extensive games. Connections are made to the current debate over the epistemic status of backward-introduction algorithm.".
- catalog contributor b11035665.
- catalog contributor b11035666.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog description "An interactive belief model is a description of the beliefs held by the players in a game about other players' strategies and payoffs, about other players' beliefs about these objects, and so on. This paper develops such a formalism, when the players have abstract, non-probabilistic beliefs. Specifically, it is assumed that the events a player believes happen constitute a filter, which means that, for any event E, the trichotomy holds: (i) the player believes that E will happen, or (ii) the player believes that E will not happen, or (iii) the player believes that E may or may not happen. An interactive belief model is called complete if it contains all beliefs that are possible in the model. It is shown that a complete filter-theoretic interactive belief model does not exist. This non-existence result is extended to the situation where players form conditional beliefs, i.e. beliefs conditional on their knowledge, as is the case in extensive games. Connections are made to the current debate over the epistemic status of backward-introduction algorithm.".
- catalog description "Includes bibliographical references (p. 32-34).".
- catalog extent "42 p. :".
- catalog isPartOf "Working paper (Harvard University. Graduate School of Business Administration. Division of Research) ; 99-056.".
- catalog isPartOf "Working paper / Division of Research, Harvard Business School ; 99-056".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng".
- catalog publisher "[Boston] : Division of Research, Harvard Business School,".
- catalog title "On the existence of a 'complete' belief model / by Adam Brandenburger.".
- catalog type "text".