Article PDF
Avoid common mistakes on your manuscript.
References
Dekking, F. M., Kraaikamp, C., Meester, L. E., and Lopuhaä, H. P., A modern introduction in probability and statistics: understanding why and how, Springer, 2005.
Ethier, S. N., The doctrine of chances: probabilistic aspects of gambling, Springer, 2010.
Ferguson, T. S., (1989) Who solved the secretary problem? Statistical Science 4, 282–296.
Ferguson T., (2000) A course on game theory, http://www.math.ucla.edu.
Häggström, O., Streifzüge durch die Wahrscheinlichkeitstheorie, Springer, 2005.
Gill, R., Three door problem...-s, http://arxiv.org/abs/1002.3878, version March 1, 2010.
Gill, R., (2011) The Monty Hall problem is not a probability puzzle (it’s a challenge in mathematical modelling), Statistica Neerlandica 65, 58–71.
Gill, R., Monty Hall problem, http://en.citizendium.org/wiki/Monty_Hall_problem http://statprob.com/encyclopedia/MontyHallProblem.html, http://www.math.leidenuniv.nl/~gill/mhp-statprob.pdf.
Gill, R., The Holy Grail of Monty Hall studies (and other comments) http://www.math.leidenuniv.nl/~gill/.
Gnedin, A., (1994) A solution to the game of googol, Annals of Probability 22, 1588–1595.
Gnedin, A., (2011) The Monty Hall problem in the Game Theory class, arxiv.org .
Gnedin, A., (2011) The Doors, http://arxiv.org/abs/1105.5809.
Gnedin, A., (2011) The Mondee Gills Game: strategic dominance for dummies, preprint.
Gnedin, A., (2011) Dominance in the Monty Hall problem, http://arxiv.org/abs/1106.0833.
Grinstead, C. M., and Snell, J. L., Grinstead and Snell’s introduction to probability. http://www.math.dartmouth.edu/prob/prob/prob.pdf, 2006 (online version of Introduction to Probability, 2nd edition, published by the Amer. Math. Soc.).
Hoffman, P. The man who loved only numbers, Fourth Estate, London, 1998.
Rosenhouse, J. The Monty Hall problem, Oxford University Press, 2009.
Rosenthal, J. S., (2008) Monty Hall, Monty Fall, Monty Crawl. Math Horizons, September issue, 5–7.
Tijms, H., Understanding probability, Cambridge University Press, 2007.
Todhunter, I., A History of the mathematical theory of probability from the time of Pascal to that of Laplace. Chelsea Publishing, 1865.
http://en.wikipedia.org/wiki/Monty_Hall_problem, http://www.scribd.com/doc/40800646/Recreational-Math.
http://en.wikipedia.org/wiki/Wikipedia:Arbitration/Requests/Case/Monty_Hall_problem.
Open Access
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
This column is a place for those bits of contagious mathematics that travel from person to person in the community, because they are so elegant, surprising, or appealing that one has an urge to pass them on.
Contributions are most welcome.
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Gnedin, S. The Mondee Gills Game. Math Intelligencer 34, 34–41 (2012). https://doi.org/10.1007/s00283-011-9253-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00283-011-9253-0