Available online at www.sciencedirect.com ScienceDirect Journal of Economic Theory 157 (2015) 445–477 www.elsevier.com/locate/jet History-dependent risk attitude ∗ David Dillenberger a, , Kareen Rozen b,1 a Department of Economics, University of Pennsylvania, 160 McNeil Building, 3718 Locust Walk, Philadelphia, PA 19104-6297, United States b Department of Economics and the Cowles Foundation for Research in Economics, Yale University, 30 Hillhouse Avenue, New Haven, CT 06511, United States Received 21 June 2014; final version received 17 January 2015; accepted 24 January 2015 Available online 29 January 2015 Abstract We propose a model of history-dependent risk attitude, allowing a decision maker’s risk attitude to be affected by his history of disappointments and elations. The decision maker recursively evaluates compound risks, classifying realizations as disappointing or elating using a threshold rule. We establish equivalence between the model and two cognitive biases: risk attitudes are reinforced by experiences (one is more risk averse after disappointment than after elation) and there is a primacy effect (early outcomes have the greatest impact on risk attitude). In a dynamic asset pricing problem, the model yields volatile, path-dependent prices. © 2015 Elsevier Inc. All rights reserved. JEL classification: D03; D81; D91 Keywords: History-dependent risk attitude; Reinforcement effect; Primacy effect; Dynamic reference dependence * Corresponding author. E-mail addresses:
[email protected] (D. Dillenberger),
[email protected] (K. Rozen). 1 Rozen thanks the NSF for generous financial support through grant SES-0919955, and the economics departments of Columbia and NYU for their hospitality. http://dx.doi.org/10.1016/j.jet.2015.01.020 0022-0531/© 2015 Elsevier Inc.