Trying to Resolve the Two-Envelope Problem |
| |
Authors: | Email author" target="_blank">Casper?J?AlbersEmail author Barteld?P?Kooi Willem?Schaafsma |
| |
Institution: | (1) Mathematics & Natural Science, University of Groningen, P.O. Box 800, 9700, AV, Groningen, The Netherlands |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|