Rijksuniversiteit Groningen / Faculteit Wijsbegeerte
 
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Trying to resolve the two-envelope problem

(2006) Albers, C.; Kooi, B.P.; Schaafsma,W.

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 interpretation is made for statistical science at large.




file:l1884702v280wk13.pdf

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