Duality and Decision
نویسنده
چکیده
Duality theories are proposed as a basis for the construction of certain state spaces that appear in Decision Theory. This is considered in more detail in the particular case of Stone Duality. Topological cancellation axioms for preference are introduced. These are used to produce a form of representation for preference between particular acts over state spaces that are Stone spaces. The well-known connection between Stone spaces and logic allows them to serve as a site for the interpretation of a syntactic theory of acts, following ideas of Blume, Easley and Halpern.
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