The Monty Hall Conundra Revisited

2009 ◽  
Author(s):  
Kam Hon Chu
Keyword(s):  
Monty Hall

Working Memory Capacity and a Notorious Brain Teaser

2006 ◽  
Vol 53 (2) ◽  
pp. 123-131 ◽  
Author(s):  
Wim De Neys ◽  
Niki Verschueren
Keyword(s):  
Working Memory ◽  
Secondary Task ◽  
Working Memory Capacity ◽  
Memory Capacity ◽  
Task Load ◽  
Normative Reasoning ◽  
Monty Hall Dilemma ◽  
Monty Hall ◽  
Memory Resources

Abstract. The Monty Hall Dilemma (MHD) is an intriguing example of the discrepancy between people’s intuitions and normative reasoning. This study examines whether the notorious difficulty of the MHD is associated with limitations in working memory resources. Experiment 1 and 2 examined the link between MHD reasoning and working memory capacity. Experiment 3 tested the role of working memory experimentally by burdening the executive resources with a secondary task. Results showed that participants who solved the MHD correctly had a significantly higher working memory capacity than erroneous responders. Correct responding also decreased under secondary task load. Findings indicate that working memory capacity plays a key role in overcoming salient intuitions and selecting the correct switching response during MHD reasoning.

scholarly journals Monty Hall three door ’anomaly’ revisited: a note on deferment in an extensive form game

2021 ◽  
Author(s):  
Philipp E. Otto
Keyword(s):  
Probability Theory ◽  
Decision Problems ◽  
Extensive Form ◽  
Form Game ◽  
Information Updating ◽  
Extensive Form Game ◽  
Monty Hall ◽  
Initial Choice

AbstractThe Monty Hall game is one of the most discussed decision problems, but where a convincing behavioral explanation of the systematic deviations from probability theory is still lacking. Most people not changing their initial choice, when this is beneficial under information updating, demands further explanation. Not only trust and the incentive of interestingly prolonging the game for the audience can explain this kind of behavior, but the strategic setting can be modeled more sophisticatedly. When aiming to increase the odds of winning, while Monty’s incentives are unknown, then not to switch doors can be considered as the most secure strategy and avoids a sure loss when Monty’s guiding aim is not to give away the prize. Understanding and modeling the Monty Hall game can be regarded as an ideal teaching example for fundamental statistic understandings.

scholarly journals Responses to Modified Monty Hall Dilemmas in Capuchin Monkeys, Rhesus Macaques, and Humans

2018 ◽  
Vol 31 ◽  
Author(s):  
Julia Watzek ◽  
Will Whitham ◽  
David A. Washburn ◽  
Sarah F. Brosnan
Keyword(s):  
Decision Making ◽  
Rhesus Macaques ◽  
The Other ◽  
Comparative Approach ◽  
Capuchin Monkeys ◽  
Monty Hall Dilemma ◽  
Decision Making Processes ◽  
Monty Hall ◽  
Text Version ◽  
Switch Strategy

The Monty Hall Dilemma (MHD) is a simple probability puzzle famous for its counterintuitive solution. Participants initially choose among three doors, one of which conceals a prize. A different door is opened and shown not to contain the prize. Participants are then asked whether they would like to stay with their original choice or switch to the other remaining door. Although switching doubles the chances of winning, people overwhelmingly choose to stay with their original choice. To assess how experience and the chance of winning affect decisions in the MHD, we used a comparative approach to test 264 college students, 24 capuchin monkeys, and 7 rhesus macaques on a nonverbal, computerized version of the game. Participants repeatedly experienced the outcome of their choices and we varied the chance of winning by changing the number of doors (three or eight). All species quickly and consistently switched doors, especially in the eight-door condition. After the computer task, we presented humans with the classic text version of the MHD to test whether they would generalize the successful switch strategy from the computer task. Instead, participants showed their characteristic tendency to stick with their pick, regardless of the number of doors. This disconnect between strategies in the classic version and a repeated nonverbal task with the same underlying probabilities may arise because they evoke different decision-making processes, such as explicit reasoning versus implicit learning.

scholarly journals Single-case probabilities and the case of Monty Hall: Levy’s view

Synthese ◽  
2007 ◽  
Vol 162 (2) ◽  
pp. 265-273 ◽  
Author(s):  
Peter Baumann
Keyword(s):  
Single Case ◽  
Monty Hall
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