Dominance in the Monty Hall Problem

Details Dominance in the Monty Hall Problem Dominance in the Monty Hall Problem

2011-06-04

arxiv.org/abs/1106.0833v1

The Mathematical Intelligencer (26 October 2011), pp. 1-8

Mathematics

History and Overview

http://www.springerlink.com/content/8402812734520774/fulltext.pdf

Scientific paper

10.1007/s00283-011-9253-0

Elementary decision-theoretic analysis of the Monty Hall dilemma shows that
the problem has dominance. This makes possible to discard nonswitching
strategies, without making any assumptions on the prior distribution of factors
out of control of the decision maker. A path to the Bayesian and the minimax
decision-making environments is then straightforward.

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