Why Humans Fail in Solving the Monty Hall Dilemma: A Systematic Review

Area of Science:

• Cognitive Psychology
• Decision Making
• Probability Theory

Background:

• The Monty Hall dilemma (MHD) is a well-known probability puzzle that often leads to counterintuitive conclusions.
• Human performance on the MHD reveals systematic failures in optimal decision-making and probabilistic reasoning.

Purpose of the Study:

• To systematically review literature on human suboptimal performance and understanding of the MHD.
• To identify cognitive factors contributing to errors at each phase of the MHD.
• To explore potential improvements in MHD problem-solving and understanding.

Main Methods:

• Systematic literature review of studies published between January 2000 and February 2018.
• Sequential analysis of the phases within the Monty Hall dilemma.
• Examination of factors influencing choice behavior and probability comprehension.

Main Results:

• Multiple cognitive and perceptual factors across all phases of the MHD contribute to suboptimal responses.
• Even a single identified cause is sufficient to explain widespread errors in MHD problem-solving.
• Individual differences play a role in the extent of suboptimal performance.

Conclusions:

• A holistic analysis reveals that inherent challenges at each stage of the MHD make optimal responses and full understanding difficult for most individuals.
• The prevalence of suboptimal performance in the MHD is unsurprising given the multiple potential points of cognitive failure.
• Further research could explore targeted interventions to improve probabilistic reasoning in complex scenarios like the MHD.