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Abstract This chapter aims to review some of the neurocomputational work by contrasting the various processing assumptions and the way they account for one of the most intriguing patterns in the choice data: contextual preference-reversal. It introduces a very simple process model of choice, called the leaky competing accumulator (LCA) model, which has been developed to account for both perceptual and preferential choice data. It reviews some of the data on preference reversal, and on framing effects, which are the main targets of the neurocomputational theories. It discusses two such theories, the decision-field theory (DFT) developed by Busemeyer and colleagues and an extension of the LCA. It further examines some similarities and contrasts between the models that lead to a set of experimental predictions and present experimental data aimed at testing these predictions and consider their implications for the issue of rationality in choice.
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