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

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

Open Access
|Jun 2018

References

  1. 1*Baratgin, J., & Politzer, G. (2010). Updating: A psychologically basic situation of probability revision. Thinking & Reasoning, 16, 253287. DOI: 10.1080/13546783.2010.519564
  2. 2Batanero, C., & Sanchez, E. (2005). What is the nature of high school students’ conceptions and misconceptions about probability? In: Jones, G. A. (ed.), Exploring probability in school: Challenges for teaching and learning, 241266. New York: Springer. DOI: 10.1007/0-387-24530-8_11
  3. 3Boninger, D. S., Gleicher, F., & Strathman, A. (1994). Counterfactual thinking: From what might have been to what may be. Journal of Personality and Social Psychology, 67, 297307. DOI: 10.1037/0022-3514.67.2.297
  4. 4*Burns, B. D., & Wieth, M. (2003). Causality and reasoning: The Monty Hall dilemma. Proceedings of the twenty-fifth annual conference of the cognitive science society, 198203. Retrieved from: http://csjarchive.cogsci.rpi.edu/proceedings/2003/pdfs/57.pdf.
  5. 5*Burns, B. D., & Wieth, M. (2004). The collider principle in causal reasoning: Why the Monty Hall dilemma is so hard. Journal of Experimental Psychology: General, 133, 434449. DOI: 10.1037/0096-3445.133.3.434
  6. 6Cooper, H. M. (2010). Research synthesis and meta-analysis: A step-by-step approach (4th ed.). London, England: Sage.
  7. 7Cross, C. B. (2000). A characterization of imaging in terms of popper functions. Philosophy of Science, 67, 316338. Retrieved from: http://www.jstor.org/stable/188727. DOI: 10.1086/392778
  8. 8de Cooman, G., & Zaffalon, M. (2004). Updating beliefs with incomplete observations. Artificial Intelligence, 159, 75125. DOI: 10.1016/j.artint.2004.05.006
  9. 9*De Neys, W. (2005). Smarter and richer?: Executive processing and the Monty Hall dilemma. Proceedings of the twenty-sixth annual conference of the cognitive science society, 285290. Retrieved from: http://www.cogsci.northwestern.edu/cogsci2004/papers/paper131.pdf.
  10. 10De Neys, W. (2007). Developmental trends in decision making: The case of the Monty Hall dilemma. In: Elsworth, J. A. (ed.), Psychology of decision making in education, behavior and high risk situations, 271281. New York, NY: Nova Science Publishers.
  11. 11*De Neys, W., & Verschueren, N. (2006). Working memory capacity and a notorious brain teaser. The case of the Monty Hall dilemma. Experimental Psychology, 53, 123131. DOI: 10.1027/1618-3169.53.1.123
  12. 12*DiBattista, D. (2011). Evaluation of a digital learning object for the Monty Hall dilemma. Teaching of Psychology, 38, 5359. DOI: 10.1177/0098628310390916
  13. 13*Efendic, E., & Drace, S. (2015). The influence of affect on suboptimal strategy choice in he Monty Hall dilemma. Psihologija, 48, 135147. DOI: 10.2298/PSI1502135E
  14. 14*Fox, C. R., & Levav, J. (2004). Partition-edit-count: Naive extensional reasoning in judgment of conditional probability. Journal of Experimental Psychology: General, 133, 626642. DOI: 10.1037/0096-3445.133.4.626
  15. 15*Franco-Watkins, A. M., Derks, P. L., & Dougherty, M. R. P. (2003). Reasoning in the Monty Hall problem: Examining choice behaviour and probability judgements. Thinking & Reasoning, 9, 6790. DOI: 10.1080/13546780244000114
  16. 16Friedman, D. (1998). Monty Hall’s three doors: Construction and deconstruction of a choice anomaly. The American Economic Review, 88, 933946. Retrieved from: http://www.jstor.org/stable/pdfplus/117012.
  17. 17Garfield, J., & Ahlgren, A. (1988). Difficulties in learning basis concepts in statistics: Implications for research. Journal for Research in Mathematics Education, 19, 4463. Retrieved from: http://www.jstor.org/stable/749110. DOI: 10.2307/749110
  18. 18Garfield, J. B. (2003). Assessing statistical reasoning. Statistics Education Research Journal, 2(1), 2238. Retrieved from: http://iase-web.org/documents/SERJ/SERJ2(1).pdf#page=24.
  19. 19Gerring, J. (2007). Case study research: principles and practices. New York, NY: Cambridge University Press.
  20. 20Gigerenzer, G. (1991). How to make cognitive illusions disappear: Beyond “heuristics and biases”. European Review of Social Psychology, 2, 83115. DOI: 10.1080/14792779143000033
  21. 21Gigerenzer, G. (1994). Why the distinction between single event probabilities and frequencies is important for psychology (and vice versa). In: Wright, G., & Ayton, P. (eds.), Subjective probability, 129161. Chichester, England: John Wiley & Sons.
  22. 22Gilovich, T., Medvec, T. G., & Chen, S. (1995). Commission, omission, and dissonance reduction: Coping with regret in the “Monty Hall” problem. Personality and Social Psychology Bulletin, 21, 182190. DOI: 10.1177/0146167295212008
  23. 23Granberg, D. (1999a). Cross-cultural comparison of responses to the Monty Hall dilemma. Social Behavioral and Personality, 27, 431438. DOI: 10.2224/sbp.1999.27.4.431
  24. 24Granberg, D. (1999b). A new version of the Monty Hall Dilemma with unequal probabilities. Behavioural Processes, 48, 2534. DOI: 10.1016/S0376-6357(99)00066-2
  25. 25Granberg, D., & Brown, T. A. (1995). The Monty Hall dilemma. Personality and Social Psychology Bulletin, 21, 711723. DOI: 10.1177/0146167295217006
  26. 26Granberg, D., & Dorr, N. (1998). Further exploration of two-stage decision making in the Monty Hall dilemma. American Journal of Psychology, 111, 561579. DOI: 10.2307/1423551
  27. 27Herbranson, W. T. (2012). Pigeons, humans, and the Monty Hall dilemma. Current Directions in Psychological Science, 21, 297301. DOI: 10.1177/0963721412453585
  28. 28*Herbranson, W. T., & Schroeder, J. (2010). Are birds smarter than mathematicians? Pigeons (Columba livia) perform optimally on a version of the Monty Hall dilemma. Journal of Comparative Psychology, 124, 113. DOI: 10.1037/a0017703
  29. 29*Herbranson, W. T., & Wang, S. (2014). Testing the limits of optimality: The effect of base rates in the Monty Hall dilemma. Learning & Behavior, 42, 6982. DOI: 10.3758/s13420-013-0126-6
  30. 30*Hirao, T., Murphy, T. I., & Masaki, H. (2016). Stimulus-preceding negativity represents a conservative response tendency. NeuroReport, 27, 8084. DOI: 10.1097/WNR.0000000000000495
  31. 31*Hirao, T., Murphy, T. I., & Masaki, H. (2017). Brain activities associated with learning of the Monty Hall dilemma task. Psychophysiology, 54, 13591369. DOI: 10.1111/psyp.12883
  32. 32*Howard, J. N., Lambdin, C. G., & Datteri, D. L. (2007). Let’s make a deal: Quality and availability of second-stage information as a catalyst for change. Thinking & Reasoning, 13, 248272. DOI: 10.1080/13546780600848049
  33. 33*Idson, L. C., Chugh, D., Bereby-Meyer, Y., Moran, S., Grosskopf, B., & Bazerman, M. (2004). Overcoming focusing failures in competitive environments. Journal of Behavioral Decision Making, 17, 159172. DOI: 10.1002/bdm.467
  34. 34Kazdin, A. E. (2011). Single-case research designs: methods for clinical and applied settings (2nd ed.). New York, NY: Oxford University Press.
  35. 35*Klein, E. D., Evans, T. A., Schultz, N. B., & Beran, M. J. (2013). Learning how to “make a deal”: Human (Homo sapiens) and monkey (Macaca mulatta) performance when repeatedly faced with the Monty Hall dilemma. Journal of Comparative Psychology, 127, 103108. DOI: 10.1037/a0029057
  36. 36*Krauss, S., & Wang, X. T. (2003). The psychology of the Monty Hall problem: Discovering psychological mechanisms for solving a tenacious brain teaser. Journal of Experimental Psychology: General, 132, 322. DOI: 10.1037/0096-3445.132.1.3
  37. 37Landman, J. (1987). Regret and elation following action and inaction: Affective responses to positive versus negative outcomes. Personality and Social Psychology Bulletin, 13, 524536. DOI: 10.1177/0146167287134009
  38. 38Lecoutre, M.-P. (1992). Cognitive models and problem spaces in “purely random” situations. Educational Studies in Mathematics, 23, 557568. Retrieved from: http://www.jstor.org/stable/3482885. DOI: 10.1007/BF00540060
  39. 39*Mazur, J. E., & Kahlbaugh, P. E. (2012). Choice behavior of pigeons (Columba livia), college students, and preschool children (Homo sapiens) in the Monty Hall dilemma. Journal of Comparative Psychology, 126, 407420. DOI: 10.1037/a0028273
  40. 40Patt, A. G., Bowles, H. R., & Cash, D. W. (2006). Mechanisms for enhancing the credibility of an adviser: Prepayment and aligned incentives. Journal of Behavioral Decision Making, 19, 347359. DOI: 10.1002/bdm.532
  41. 41*Petrocelli, J. V. (2013). Pitfalls of counterfactual thinking in medical practice: Preventing errors by using more functional reference points. Journal of Public Health Research, 24, 136143. DOI: 10.4081/jphr.2013.e24
  42. 42*Petrocelli, J. V., & Harris, A. K. (2011). Learning inhibition in the Monty Hall problem: The role of dysfunctional counterfactual prescriptions. Personality and Social Psychology Bulletin, 37, 12971311. DOI: 10.1177/0146167211410245
  43. 43Roese, N. J. (1997). Counterfactual thinking. Psychological Bulletin, 121, 133148. DOI: 10.1037/0033-2909.121.1.133
  44. 44*Saenen, L., Heyvaert, M., Van Dooren, W., & Onghena, P. (2015a). Inhibitory control in a notorious brain teaser: the Monty Hall dilemma. ZDM Mathematics Education, 47, 837848. DOI: 10.1007/s11858-015-0667-6
  45. 45*Saenen, L., Van Dooren, W., & Onghena, P. (2015b). A randomized Monty Hall experiment: The positive effect of conditional frequency feedback. Thinking & Reasoning, 21, 176192. DOI: 10.1080/13546783.2014.918562
  46. 46Shaughnessy, J. M. (1992). Research in probability and statistics: Reflections and directions. In: Grouws, D. A. (ed.), Handbook of research on mathematics teaching and learning, 465494. New York: Macmillan.
  47. 47Shimojo, S., & Ichikawa, S. (1989). Intuitive reasoning about probability: Theoretical and experimental analyses of the “problem of three prisoners”. Cognition, 32, 124. DOI: 10.1016/0010-0277(89)90012-7
  48. 48Siddiqi, H. (2009). Is the lure of choice reflected in market prices? Experimental evidence based on the 4-door Monty Hall problem. Journal of Economic Psychology, 30, 203215. DOI: 10.1016/j.joep.2008.07.004
  49. 49*Slembeck, T., & Tyran, J.-R. (2004). Do institutions promote rationality? An experimental study of the three-door anomaly. Journal of Economic Behavior and Organization, 54, 337350. DOI: 10.1016/j.jebo.2003.03.002
  50. 50*Stibel, J. M., Dror, I. E., & Ben-Zeev, T. (2009). The collapsing choice theory: Dissociating choice and judgment in decision making. Theory and Decision, 66, 149179. DOI: 10.1007/s11238-007-9094-7
  51. 51Stohl, H. (2005). Probability in teacher education and development. In: Jones, G. A. (ed.), Exploring probability in school: Challenges for teaching and learning, 345366. New York: Springer. DOI: 10.1007/0-387-24530-8_15
  52. 52*Tubau, E. (2008). Enhancing probabilistic reasoning: The role of causal graphs, statistical format and numerical skills. Learning and Individual Differences, 18, 187196. DOI: 10.1016/j.lindif.2007.08.006
  53. 53Tubau, E., Aguilar-Lleyda, D., & Johnson, E. D. (2015). Reasoning and choice in the Monty Hall dilemma (MHD): implications for improving Bayesian reasoning. Frontiers in Psychology, 6. DOI: 10.3389/fpsyg.2015.00353
  54. 54*Tubau, E., & Alonso, D. (2003). Overcoming illusory inferences in a probabilistic counterintuitive problem: The role of explicit representations. Memory and Cognition, 31, 596607. DOI: 10.3758/BF03196100
DOI: https://doi.org/10.5334/pb.274 | Journal eISSN: 0033-2879
Language: English
Submitted on: May 5, 2015
Accepted on: May 3, 2018
Published on: Jun 1, 2018
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2018 Lore Saenen, Mieke Heyvaert, Wim Van Dooren, Walter Schaeken, Patrick Onghena, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.