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Erschienen in: Marketing Letters 3-4/2008

01.12.2008

Sequential sampling models of choice: Some recent advances

verfasst von: Thomas Otter, Joe Johnson, Jörg Rieskamp, Greg M. Allenby, Jeff D. Brazell, Adele Diederich, J. Wesley Hutchinson, Steven MacEachern, Shiling Ruan, Jim Townsend

Erschienen in: Marketing Letters | Ausgabe 3-4/2008

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Abstract

Choice models in marketing and economics are generally derived without specifying the underlying cognitive process of decision making. This approach has been successfully used to predict choice behavior. However, it has not much to say about such aspects of decision making as deliberation, attention, conflict, and cognitive limitations and how these influence choices. In contrast, sequential sampling models developed in cognitive psychology explain observed choices based on assumptions about cognitive processes that return the observed choice as the terminal state. We illustrate three advantages of this perspective. First, making explicit assumptions about underlying cognitive processes results in measures of deliberation, attention, conflict, and cognitive limitation. Second, the mathematical representations of underlying cognitive processes imply well documented departures from Luce’s Choice Axiom such as the similarity, compromise, and attraction effects. Third, the process perspective predicts response time and thus allows for inference based on observed choices and response times. Finally, we briefly discuss the relationship between these cognitive models and rules for statistically optimal decisions in sequential designs.

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Literatur
Zurück zum Zitat Adamowicz, V., Bunch, D., Cameron, T. A., Dellaert, B. G. C., Hanneman, M., Keane, M., et al. (2008). Behavioral frontiers in choice modeling. Marketing Letters doi:10.1007/s11002-008-9038-1. Adamowicz, V., Bunch, D., Cameron, T. A., Dellaert, B. G. C., Hanneman, M., Keane, M., et al. (2008). Behavioral frontiers in choice modeling. Marketing Letters doi:10.​1007/​s11002-008-9038-1.
Zurück zum Zitat Ashby, F. G. (1983). A biased random-walk model for 2 choice reaction-times. Journal of Mathematical Psychology, 27, 277–297.CrossRef Ashby, F. G. (1983). A biased random-walk model for 2 choice reaction-times. Journal of Mathematical Psychology, 27, 277–297.CrossRef
Zurück zum Zitat Ashby, F. G., & Townsend, J. T. (1986). Varieties of perceptual independence. Psychological Review, 93, 154–179.CrossRef Ashby, F. G., & Townsend, J. T. (1986). Varieties of perceptual independence. Psychological Review, 93, 154–179.CrossRef
Zurück zum Zitat Bogacz, R. (2007). Optimal decision-making theories: Linking neurobiology with behaviour. Trends in Cognitive Sciences, 11, 118–125.CrossRef Bogacz, R. (2007). Optimal decision-making theories: Linking neurobiology with behaviour. Trends in Cognitive Sciences, 11, 118–125.CrossRef
Zurück zum Zitat Bogacz, R., Brown, E., Jeff, M., Holmes, J. P., & Cohen, J. D. (2006). The physics of optimal decision making: A formal analysis of models of performance in two-alternative forced-choice tasks. Psychological Review, 113, 700–765.CrossRef Bogacz, R., Brown, E., Jeff, M., Holmes, J. P., & Cohen, J. D. (2006). The physics of optimal decision making: A formal analysis of models of performance in two-alternative forced-choice tasks. Psychological Review, 113, 700–765.CrossRef
Zurück zum Zitat Busemeyer, J. R., & Diederich, A. (2002). Survey of decision field theory. Mathematical Social Sciences, 43, 345–370.CrossRef Busemeyer, J. R., & Diederich, A. (2002). Survey of decision field theory. Mathematical Social Sciences, 43, 345–370.CrossRef
Zurück zum Zitat Busemeyer, J. R., & Townsend, J. T. (1993). Decision field theory: A dynamic cognition approach to decision making. Psychological Review, 100, 432–459.CrossRef Busemeyer, J. R., & Townsend, J. T. (1993). Decision field theory: A dynamic cognition approach to decision making. Psychological Review, 100, 432–459.CrossRef
Zurück zum Zitat Diederich, A. (1997). Dynamic stochastic model for decision making under time constraints. Journal of Mathematical Psychology, 41, 260–274.CrossRef Diederich, A. (1997). Dynamic stochastic model for decision making under time constraints. Journal of Mathematical Psychology, 41, 260–274.CrossRef
Zurück zum Zitat Diederich, A. (2003a). MDFT account of decision making under time pressure. Psychonomic Bulletin and Review, 10, 157–166. Diederich, A. (2003a). MDFT account of decision making under time pressure. Psychonomic Bulletin and Review, 10, 157–166.
Zurück zum Zitat Diederich, A. (2003b). Decision making under conflict: Decision time as a measure of conflict strength. Psychonomic Bulletin and Review, 10, 167–176. Diederich, A. (2003b). Decision making under conflict: Decision time as a measure of conflict strength. Psychonomic Bulletin and Review, 10, 167–176.
Zurück zum Zitat Diederich, A., & Busemeyer, J. R. (1999). Conflict and the stochastic dominance principle of decision making. Psychological Science, 10, 353–359.CrossRef Diederich, A., & Busemeyer, J. R. (1999). Conflict and the stochastic dominance principle of decision making. Psychological Science, 10, 353–359.CrossRef
Zurück zum Zitat Diederich, A., & Busemeyer, J. R. (2003). Simple matrix methods for analyzing diffusion models of choice probability, choice response time and simple response time. Journal of Mathematical Psychology, 47, 304–322.CrossRef Diederich, A., & Busemeyer, J. R. (2003). Simple matrix methods for analyzing diffusion models of choice probability, choice response time and simple response time. Journal of Mathematical Psychology, 47, 304–322.CrossRef
Zurück zum Zitat Gilbride, T., & Allenby, G. (2006). Estimating heterogeneous EBA and economic screening rule choice models. Marketing Science, 25, 494–509.CrossRef Gilbride, T., & Allenby, G. (2006). Estimating heterogeneous EBA and economic screening rule choice models. Marketing Science, 25, 494–509.CrossRef
Zurück zum Zitat Huang, Y., & Hutchinson, J. W. (2008). Counting every thought: Implicit measures of cognitive responses to advertising. Journal of Consumer Research, 35(1), 98–118.CrossRef Huang, Y., & Hutchinson, J. W. (2008). Counting every thought: Implicit measures of cognitive responses to advertising. Journal of Consumer Research, 35(1), 98–118.CrossRef
Zurück zum Zitat Huber, J., Payne, J. W., & Puto, C. (1982). Adding asymmetrically dominated alternatives: Violations of regularity and the similarity hypothesis. Journal of Consumer Research, 9, 90–98.CrossRef Huber, J., Payne, J. W., & Puto, C. (1982). Adding asymmetrically dominated alternatives: Violations of regularity and the similarity hypothesis. Journal of Consumer Research, 9, 90–98.CrossRef
Zurück zum Zitat Huber, J., & Puto, C. (1983). Market boundaries and product choice: Illustrating attraction and substitution effects. Journal of Consumer Research, 10, 31–44.CrossRef Huber, J., & Puto, C. (1983). Market boundaries and product choice: Illustrating attraction and substitution effects. Journal of Consumer Research, 10, 31–44.CrossRef
Zurück zum Zitat Johnson, J. G., & Busemeyer, J. R. (2005). A dynamic, computational model of preference reversal phenomena. Psychological Review, 112, 841–861.CrossRef Johnson, J. G., & Busemeyer, J. R. (2005). A dynamic, computational model of preference reversal phenomena. Psychological Review, 112, 841–861.CrossRef
Zurück zum Zitat Kivetz, R., Netzer, O., & Srinivasan, V. (2004). Alternative models for capturing the compromise effect. Journal of Marketing Research, 41, 237–57.CrossRef Kivetz, R., Netzer, O., & Srinivasan, V. (2004). Alternative models for capturing the compromise effect. Journal of Marketing Research, 41, 237–57.CrossRef
Zurück zum Zitat LaBerge, D. (1962). A recruitment theory of simple behavior. Psychometrika, 27, 375–396.CrossRef LaBerge, D. (1962). A recruitment theory of simple behavior. Psychometrika, 27, 375–396.CrossRef
Zurück zum Zitat McMillen, T., & Holmes, P. (2005). The dynamics of choice among multiple alternatives. Journal of Mathematical Psychology, 50, 30–57.CrossRef McMillen, T., & Holmes, P. (2005). The dynamics of choice among multiple alternatives. Journal of Mathematical Psychology, 50, 30–57.CrossRef
Zurück zum Zitat Otter, T., Allenby, G., & van Zandt, T. (2007). An integrated model of choice and response time. Journal of Marketing Research (forthcoming). Otter, T., Allenby, G., & van Zandt, T. (2007). An integrated model of choice and response time. Journal of Marketing Research (forthcoming).
Zurück zum Zitat Rieskamp, J., Busemeyer, J. R., & Mellers, B. A. (2006). Extending the bounds of rationality: Evidence and theories of preferential choice. Journal of Economic Literature, 44, 631–661.CrossRef Rieskamp, J., Busemeyer, J. R., & Mellers, B. A. (2006). Extending the bounds of rationality: Evidence and theories of preferential choice. Journal of Economic Literature, 44, 631–661.CrossRef
Zurück zum Zitat Roe, R. M., Busemeyer, J. R., & Townsend, J. T. (2001). Multialternative decision field theory: A dynamic connectionist model of decision making. Psychological Review, 108, 370–392.CrossRef Roe, R. M., Busemeyer, J. R., & Townsend, J. T. (2001). Multialternative decision field theory: A dynamic connectionist model of decision making. Psychological Review, 108, 370–392.CrossRef
Zurück zum Zitat Ruan, S. (2007). Poisson race models for conjoint choice analysis: Theory and applications. Unpublished Ph.D. dissertation. Department of Statistics, The Ohio State University. Ruan, S. (2007). Poisson race models for conjoint choice analysis: Theory and applications. Unpublished Ph.D. dissertation. Department of Statistics, The Ohio State University.
Zurück zum Zitat Ruan, S., MacEachern, S., Otter, T., & Dean, A. (2007). Dependent Poisson race models and modeling dependence in conjoint choice experiments. Psychometrika (forthcoming). Ruan, S., MacEachern, S., Otter, T., & Dean, A. (2007). Dependent Poisson race models and modeling dependence in conjoint choice experiments. Psychometrika (forthcoming).
Zurück zum Zitat Simonson, I. (1989). Choice based on reasons: The case of attraction and compromise effects. Journal of Consumer Research, 16, 158–174.CrossRef Simonson, I. (1989). Choice based on reasons: The case of attraction and compromise effects. Journal of Consumer Research, 16, 158–174.CrossRef
Zurück zum Zitat Smith, P. L. (2000). Stochastic dynamic models of response time and accuracy: A foundational primer. Journal of Mathematical Psychology, 44, 408–436.CrossRef Smith, P. L. (2000). Stochastic dynamic models of response time and accuracy: A foundational primer. Journal of Mathematical Psychology, 44, 408–436.CrossRef
Zurück zum Zitat Stone, M. (1960). Models for choice-reaction time. Psychometrika, 25, 251–260.CrossRef Stone, M. (1960). Models for choice-reaction time. Psychometrika, 25, 251–260.CrossRef
Zurück zum Zitat Tanner, M. A., & Wong, W. H. (1987). The calculation of posterior distributions by data augmentation. Journal of the American Statistical Association, 82, 528–540.CrossRef Tanner, M. A., & Wong, W. H. (1987). The calculation of posterior distributions by data augmentation. Journal of the American Statistical Association, 82, 528–540.CrossRef
Zurück zum Zitat Townsend, J. T. (1972). Some results concerning the identifiability of parallel and serial processes. British Journal of Mathematical and Statistical Psychology, 25, 168–199. Townsend, J. T. (1972). Some results concerning the identifiability of parallel and serial processes. British Journal of Mathematical and Statistical Psychology, 25, 168–199.
Zurück zum Zitat Townsend, J. T., & Ashby, F. G. (1983). Stochastic modeling of elementary psychological processes. Cambridge: Cambridge University Press. Townsend, J. T., & Ashby, F. G. (1983). Stochastic modeling of elementary psychological processes. Cambridge: Cambridge University Press.
Zurück zum Zitat Townsend, J. T., & Nozawa, G. (1995). Spatio-temporal properties of elementary perception: An investigation of parallel, serial and coactive theories. Journal of Mathematical Psychology, 39, 321–360.CrossRef Townsend, J. T., & Nozawa, G. (1995). Spatio-temporal properties of elementary perception: An investigation of parallel, serial and coactive theories. Journal of Mathematical Psychology, 39, 321–360.CrossRef
Zurück zum Zitat Townsend, J. T., & Schweickert, R. (1989). Toward the trichotomy method: Laying the foundation of stochastic mental networks. Journal of Mathematical Psychology, 33, 309–327.CrossRef Townsend, J. T., & Schweickert, R. (1989). Toward the trichotomy method: Laying the foundation of stochastic mental networks. Journal of Mathematical Psychology, 33, 309–327.CrossRef
Zurück zum Zitat Townsend, J. T., & Wenger, M. J. (2004). A theory of interactive parallel processing: New capacity measures and predictions for a response time inequality series. Psychological Review, 111, 1003–1035.CrossRef Townsend, J. T., & Wenger, M. J. (2004). A theory of interactive parallel processing: New capacity measures and predictions for a response time inequality series. Psychological Review, 111, 1003–1035.CrossRef
Zurück zum Zitat Tversky, A. (1972a). Elimination by aspects: A theory of choice. Psychological Review, 79, 281–299.CrossRef Tversky, A. (1972a). Elimination by aspects: A theory of choice. Psychological Review, 79, 281–299.CrossRef
Zurück zum Zitat Tversky, A. (1972b). Choice by elimination. Journal of Mathematical Psychology, 9(4), 341–367.CrossRef Tversky, A. (1972b). Choice by elimination. Journal of Mathematical Psychology, 9(4), 341–367.CrossRef
Zurück zum Zitat Tversky, A., & Simonson, I. (1993). Context dependent preferences. Management Science, 39, 1179–1189.CrossRef Tversky, A., & Simonson, I. (1993). Context dependent preferences. Management Science, 39, 1179–1189.CrossRef
Zurück zum Zitat Usher, M., & McClelland, J. L. (2004). Loss aversion and inhibition in dynamical models of multialternative choice. Psychological Review, 111, 757–769.CrossRef Usher, M., & McClelland, J. L. (2004). Loss aversion and inhibition in dynamical models of multialternative choice. Psychological Review, 111, 757–769.CrossRef
Zurück zum Zitat Vickers, D. (1970). Evidence for an accumulator of psychophysical discrimination. Ergonomics, 13, 37–58.CrossRef Vickers, D. (1970). Evidence for an accumulator of psychophysical discrimination. Ergonomics, 13, 37–58.CrossRef
Metadaten
Titel
Sequential sampling models of choice: Some recent advances
verfasst von
Thomas Otter
Joe Johnson
Jörg Rieskamp
Greg M. Allenby
Jeff D. Brazell
Adele Diederich
J. Wesley Hutchinson
Steven MacEachern
Shiling Ruan
Jim Townsend
Publikationsdatum
01.12.2008
Verlag
Springer US
Erschienen in
Marketing Letters / Ausgabe 3-4/2008
Print ISSN: 0923-0645
Elektronische ISSN: 1573-059X
DOI
https://doi.org/10.1007/s11002-008-9039-0

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