# The Rationality of Irrationality in the Monty Hall Problem

@article{Ensslin2018TheRO,
title={The Rationality of Irrationality in the Monty Hall Problem},
author={Torsten A. Ensslin and Margret Westerkamp},
journal={Annalen der Physik},
year={2018},
volume={531}
}
• Published 10 April 2018
• Education
• Annalen der Physik
The rational solution of the Monty Hall problem unsettles many people. Most people, including the authors, think it feels wrong to switch the initial choice of one of the three doors, despite having fully accepted the mathematical proof for its superiority. Many people think the chances are 50‐50 between their options, but still strongly prefer to stay with their initial choice. Is there some sense behind these irrational feelings? Here, the possibility is entertained that intuition solves the…
2 Citations
Calculating the Probability Outcomes of the Monty Hall Problem Using A Web-Based Simulation
• James Arnold E. Nogra
• Computer Science
2019 IEEE 11th International Conference on Humanoid, Nanotechnology, Information Technology, Communication and Control, Environment, and Management ( HNICEM )
• 2019
A simulation of the Monty Hall Problem that runs in a web browser where doors are chosen randomly and the results from all the simulations concluded that the probability of having the car is behind the chosen door is $\frac{{n - 1}}{n}$ where is the number of doors.
The Physics of Information
• Computer Science
Annalen der Physik
• 2019
A number of researcher investigate the possibility that the real fundamental elements of this world are tiny bits of information, and several of their attempts to recover physical laws from the principles governing information are reported about in this special issue on physics of information.

## References

SHOWING 1-10 OF 13 REFERENCES
The Monty Hall Problem
A range of solutions to the Monty Hall problem is developed, with the aim of connecting popular (informal) solutions and the formal mathematical solutions of introductory text-books. Under Riemann’s
Judgment under Uncertainty
• Psychology
• 1982
The thirty-five chapters in this book describe various judgmental heuristics and the biases they produce, not only in laboratory experiments but in important social, medical, and political situations
Judgment under Uncertainty: Heuristics and Biases.
• Economics
Science
• 1974
Three heuristics that are employed in making judgements under uncertainty are described: representativeness, availability of instances or scenarios, which is often employed when people are asked to assess the frequency of a class or the plausibility of a particular development.
Judgment under Uncertainty: Heuristics and Biases
• Economics
Science
• 1974
This article described three heuristics that are employed in making judgements under uncertainty: (i) representativeness, which is usually employed when people are asked to judge the probability that
Stochastics: Introduction to Probability and Statistics
This second revised and extended edition presents the fundamental ideas and results of both, probability theory and statistics, and comprises the material of a one-year course. It is addressed to
Letters to the Editor
• Medicine
Calcified Tissue International
• 2007
It is suggested that the beneficial eVect of blood donation on cardiovascular disease is caused by a reduction in haematocrit and blood viscosity, which is consistent with the observation of Meyers et al, who noted that the benefit of blooddonation was greatest in males with the highest serum LDL.
Behind Monty Hall’s Doors: Puzzle, Debate and Answer?
• The New York Times
• 1991