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Modeling Strategy Switches in Multi-attribute Decision Making

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Abstract

We develop and demonstrate a method for inferring changes in strategy use, applicable to decision making in multi-attribute choice. The method is an extension of one developed by Lee, Gluck, and Walsh (Decision 6:335–368, 2019) and continues to rely on a Bayesian approach for inferring strategy switches based on spike-and-slab priors. The extensions improve the existing method in two ways. The first is by using a hierarchical approach to make inferences about the underlying propensity to switch strategies simultaneously at both the individual and group levels. The second is by making inferences about the probability different strategies are used, including the transition probabilities between strategies when switches are made. We demonstrate the method by applying it to data sets from five previous experiments, involving a range of experimental designs and sets of strategies of interest. We conclude by discussing the potential of the method to contribute to addressing basic questions in human decision making involving the nature of adaptation, learning, and self-regulation.

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Notes

  1. We also observed a change in the performance of the sampler JAGS uses for categorical distributions moving from version 4.2 to 4.3, which led to much slower computational performance in the newer version for the current code and data.

  2. We thank Thorsten Pachur for raising this potential limitation.

References

  • Bergert, F.B., & Nosofsky, R.M. (2007). A response-time approach to comparing generalized rational and take-the-best models of decision making. Journal of Experimental Psychology: Learning, Memory & Cognition, 33, 107–129.

    Google Scholar 

  • Bobadilla-Suarez, S., & Love, B.C. (2018). Fast or frugal, but not both: decision heuristics under time pressure. Journal of Experimental Psychology: Learning, Memory, and Cognition, 44, 24–33.

    PubMed  Google Scholar 

  • Bröder, A. (2000). Assessing the empirical validity of the “take-the-best” heuristic as a model of human probabilistic inference. Journal of Experimental Psychology: Learning Memory, and Cognition, 26, 1332–1346.

    Google Scholar 

  • Bröder, A., & Schiffer, S. (2006). Adaptive flexibility and maladaptive routines in selecting fast and frugal decision strategies. Journal of Experimental Psychology: Learning, Memory, & Cognition, 32, 904–918.

    Google Scholar 

  • Brooks, S.P., & Gelman, A. (1997). General methods for monitoring convergence of iterative simulations. Journal of Computational and Graphical Statistics, 7, 434–455.

    Google Scholar 

  • Brusovansky, M., Glickman, M., & Usher, M. (2018). Fast and effective: intuitive processes in complex decisions. Psychonomic Bulletin & Review, 25, 1542–1548.

    Google Scholar 

  • Dawes, R.M., & Corrigan, B. (1974). Linear models in decision making. Psychological Bulletin, 81, 95–106.

    Google Scholar 

  • Ericsson, K.A., & Simon, H.A. (1993). Protocol analysis. Cambridge: MIT Press.

    Google Scholar 

  • Farrell, S., & Lewandowsky, S. (2018). Computational modeling of cognition and behavior. Cambridge: Cambridge University Press.

    Google Scholar 

  • Gigerenzer, G., & Goldstein, D.G. (1996). Reasoning the fast and frugal way: models of bounded rationality. Psychological Review, 103, 650–669.

    Google Scholar 

  • Gigerenzer, G., Todd, P.M., & the ABC Group. (1999). Simple heuristics that make us smart. New York: Oxford University Press.

    Google Scholar 

  • Hebb, D.O. (1961). Distinctive features of learning in the higher animal. In Delafresnaye, J.E. (Ed.) Brain mechanisms and learning (pp. 37–46). New York: Oxford University Press.

  • Hilbig, B.E. (2008). Individual differences in fast-and-frugal decision making: neuroticism and the recognition heuristic. Journal of Research in Personality, 42, 1641–1645.

    Google Scholar 

  • Hilbig, B.E., & Moshagen, M. (2014). Generalized outcome-based strategy classification: comparing deterministic and probabilistic choice models. Psychonomic Bulletin & Review, 21, 1431–1443.

    Google Scholar 

  • Jordan, M.I. (2004). Graphical models. Statistical Science, 19, 140–155.

    Google Scholar 

  • Katsikopoulos, K.V., & Martignon, L. (2006). Naive heuristics for paired comparisons: some results on their relative accuracy. Journal of Mathematical Psychology, 50, 488–494.

    Google Scholar 

  • Koller, D., Friedman, N., Getoor, L., & Taskar, B. (2007). Graphical models in a nutshell. In Getoor, L., & Taskar, B. (Eds.) Introduction to statistical relational learning. Cambridge, MA: MIT Press.

  • Kruschke, J.K. (1992). ALCOVE: an exemplar-based connectionist model of category learning. Psychological Review, 99, 22–44.

    PubMed  Google Scholar 

  • Lee, M.D. (2016). Bayesian outcome-based strategy classification. Behavior Research Methods, 48, 29–41.

    PubMed  Google Scholar 

  • Lee, M.D. (2018). Bayesian methods in cognitive modeling. In Wixted, J., & Wagenmakers, E.-J. (Eds.) The Stevens’ handbook of experimental psychology and cognitive neuroscience. Volume 5: Methodology. John Wiley & Sons, fourth edition.

  • Lee, M.D. (2019). A simple and flexible Bayesian method for inferring step changes in cognition. Behavior Research Methods, 51, 948–960.

    PubMed  Google Scholar 

  • Lee, M.D., & et al. (2019). Robust modeling in cognitive science. Computational Brain & Behavior, 2, 141–153.

    Google Scholar 

  • Lee, M.D., & Cummins, T.D.R. (2004). Evidence accumulation in decision making: Unifying the “take the best” and “rational” models. Psychonomic Bulletin & Review, 11, 343–352.

    Google Scholar 

  • Lee, M.D., Gluck, K.A., & Walsh, M.M. (2019). Understanding the complexity of simple decisions: modeling multiple behaviors and switching strategies. Decision, 6, 335–368.

    Google Scholar 

  • Lee, M.D., Newell, B.R., & Vandekerckhove, J. (2014). Modeling the adaptation of the termination of search in human decision making. Decision, 1, 223–251.

    Google Scholar 

  • Lee, M.D., & Wagenmakers, E.-J. (2013). Bayesian cognitive modeling: a practical course. Cambridge: Cambridge University Press.

    Google Scholar 

  • Mata, R., Schooler, L.J., & Rieskamp, J. (2007). The aging decision maker: cognitive aging and the adaptive selection of decision strategies. Psychology and Aging, 22, 796–810.

    PubMed  Google Scholar 

  • McClelland, J.L., & Rumelhart, D.E. (1989). Explorations in parallel distributed processing: a handbook of models, programs, and exercises. Cambridge: MIT Press.

    Google Scholar 

  • Mitchell, T. J., & Beauchamp, J.J. (1988). Bayesian variable selection in linear regression. Journal of the American Statistical Association, 83, 1023–1032.

    Google Scholar 

  • Newell, B.R., & Lee, M.D. (2011). The right tool for the job? Comparing evidence accumulation and a naive strategy selection model of decision making. Journal of Behavioral Decision Making, 24, 456–481.

    Google Scholar 

  • Newell, B.R., & Shanks, D.R. (2003). Take-the-best or look at the rest? Factors influencing ‘one-reason’ decision making. Journal of Experimental Psychology: Learning, Memory, & Cognition, 29, 53–65.

    Google Scholar 

  • Newell, B.R., Weston, N.J., & Shanks, D.R. (2003). Empirical tests of a fast-and-frugal heuristic: not everyone “takes-the-best”. Organizational Behavior and Human Decision Processes, 91, 82–96.

    Google Scholar 

  • Petrov, A.A., Dosher, B.A., & Lu, Z.-L. (2005). The dynamics of perceptual learning: an incremental reweighting model. Psychological Review, 112, 715–743.

    PubMed  Google Scholar 

  • Plummer, M. (2003). JAGS: A program for analysis of Bayesian graphical models using Gibbs sampling. In Hornik, K., Leisch, F., & Zeileis, A. (Eds.) Proceedings of the 3rd International Workshop on Distributed Statistical Computing. Vienna, Austria.

  • Rescorla, R.A., & Wagner, A.R. (1972). A theory of Pavlovian conditioning: variations in the effectivenessof reinforcement and nonreinforcemen. In Black, A.H., Prokasy, W.F., & Rescorla, R.A. (Eds.) Classical conditioning II (pp 64–99). Appleton-Century-Crofts.

  • Rieskamp, J., & Otto, P. (2006). SSL: a theory of how people learn to select strategies. Journal of Experimental Psychology: General, 135, 207–236.

    Google Scholar 

  • Rouder, J.N., Haaf, J., & Vandekerckhove, J. (2018). Bayesian inference for psychology, part IV: parameter estimation and Bayes factors. Psychonomic Bulletin & Review, 25, 102–113.

    Google Scholar 

  • Rouder, J.N., & Lu, J. (2005). An introduction to Bayesian hierarchical models with an application in the theory of signal detection. Psychonomic Bulletin & Review, 12, 573–604.

    Google Scholar 

  • Scheibehenne, B., Rieskamp, J., & Wagenmakers, E.-J. (2013). Testing adaptive toolbox models: a Bayesian hierarchical approach. Psychological Review, 120, 39–64.

    PubMed  Google Scholar 

  • Steingroever, H., Wetzels, R., & Wagenmakers, E.-J. (2014). Absolute performance of reinforcement-learning models for the Iowa Gambling Task. Decision, 1, 161–183.

    Google Scholar 

  • Stewart, I.N., & Peregoy, P. (1983). Catastrophe theory modeling in psychology. Psychological Blulletin, 94, 336–362.

    Google Scholar 

  • Sutton, R.S., & Barto, A.G. (1998). Reinforcement learning: an introduction. Cambridge: The MIT Press.

    Google Scholar 

  • van der Maas, H.L.J., & Molenaar, P.C.M. (1992). Stagewise cognitive development: an application of catastrophe theory. Psychological Review, 99, 395–417.

    PubMed  Google Scholar 

  • Vanpaemel, W. (2020). Strong theory testing using the prior predictive and the data prior. Psychological Review, 127, 136–145.

    PubMed  Google Scholar 

  • Vickers, D. (1979). Decision processes in visual perception. New York: Academic Press.

    Google Scholar 

  • Walsh, M.M., & Gluck, K.A. (2016). Verbalization of decision strategies in multiple-cue probabilistic inference. Journal of Behavioral Decision Making, 29, 78–91.

    Google Scholar 

  • Wetzels, R., Grasman, R.P.P.P., & Wagenmakers, E. (2010). An encompassing prior generalization of the Savage-Dickey density ratio test. Computational Statistics and Data Analysis, 54, 2094–2102.

    Google Scholar 

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Acknowledgments

We thank Alex Hough, Reilly Innes, and an anonymous reviewer for helpful comments. MDL’s collaboration was enabled through an appointment to the Oak Ridge Institute for Science and Education (ORISE) Faculty Research Program.

Funding

This research was supported by the U. S. Air Force Research Laboratory’s 711th Human Performance Wing, through the Personalized Learning and Readiness Sciences Core Research Area.

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Correspondence to Michael D. Lee.

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Data and Code Availability

Code and data for all of the analyses presented in this article are available in a github repository at https://github.com/mdlee/switchingStrategies.

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The views expressed in this paper are those of the authors and do not reflect the official policy or position of the United States Air Force, Department of Defense, or the United States Government.

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Lee, M.D., Gluck, K.A. Modeling Strategy Switches in Multi-attribute Decision Making. Comput Brain Behav 4, 148–163 (2021). https://doi.org/10.1007/s42113-020-00092-w

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