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    Reply to Davis-Stober et al.: Violations of rationality in a psychophysical task are not aggregation artifacts

    Tsetsos, Kostantinos and Moran, R. and Moreland, J.C. and Chater, N. and Usher, Marius and Summerfield, C. (2016) Reply to Davis-Stober et al.: Violations of rationality in a psychophysical task are not aggregation artifacts. Proceedings of the National Academy of Sciences of the United States of America 113 (33), E4764-E4766. ISSN 0027-8424.

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    Abstract

    Humans deviate from rational choice theory if their estimates of the attribute values for one alternative change as a function of the attribute values of competing alternatives (1). In our paper (2), we report such “context-dependent” (CD) deviations from rationality in the form of a frequent winner (FW) effect and the corresponding weak stochastic transitivity (WST) violations. Davis-Stober et al. (3) claim that this observation is an artifact of aggregating over different trial types, and suggest that a context-independent (CI) decision model might explain our data. We thank Davis-Stober et al. (3) for drawing attention to a potentially important issue. However, we find their analysis to be misleading. Below, we comprehensively rebut their claims and present evidence that corroborates our original findings.

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