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  1. Probabilistic Dynamic Epistemic Logic.Barteld P. Kooi - 2003 - Journal of Logic, Language and Information 12 (4):381-408.
    In this paper I combine the dynamic epistemic logic ofGerbrandy (1999) with the probabilistic logic of Fagin and Halpern (1994). The resultis a new probabilistic dynamic epistemic logic, a logic for reasoning aboutprobability, information, and information change that takes higher orderinformation into account. Probabilistic epistemic models are defined, and away to build them for applications is given. Semantics and a proof systemis presented and a number of examples are discussed, including the MontyHall Dilemma.
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  2. Trying to Resolve the Two-Envelope Problem.Casper J. Albers, Barteld P. Kooi & Willem Schaafsma - 2005 - Synthese 145 (1):89-109.
    After explaining the well-known two-envelope paradox by indicating the fallacy involved, we consider the two-envelope problem of evaluating the factual information provided to us in the form of the value contained by the envelope chosen first. We try to provide a synthesis of contributions from economy, psychology, logic, probability theory (in the form of Bayesian statistics), mathematical statistics (in the form of a decision-theoretic approach) and game theory. We conclude that the two-envelope problem does not allow a satisfactory solution. An (...)
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  3. Spelen met verandering en onzekerheid. Rationele-keuzetheorie en logica.Hans P. van Ditmarsch & Barteld P. Kooi - 2002 - Algemeen Nederlands Tijdschrift voor Wijsbegeerte 94 (1).
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