Axiomatizing bounded rationality: the priority heuristic

Springer Science and Business Media LLC - Tập 77 - Trang 183-196 - 2013
Mareile Drechsler1, Konstantinos Katsikopoulos2, Gerd Gigerenzer2
1Department of Philosophy, Logic and Scientific Method, London School of Economics and Political Science, London, UK
2Center for Adaptive Behavior and Cognition, Max Planck Institute for Human Development, Berlin, Germany

Tóm tắt

This paper presents an axiomatic framework for the priority heuristic, a model of bounded rationality in Selten’s (in: Gigerenzer and Selten (eds.) Bounded rationality: the adaptive toolbox, 2001) spirit of using empirical evidence on heuristics. The priority heuristic predicts actual human choices between risky gambles well. It implies violations of expected utility theory such as common consequence effects, common ratio effects, the fourfold pattern of risk taking and the reflection effect. We present an axiomatization of a parameterized version of the heuristic which generalizes the heuristic in order to account for individual differences and inconsistencies. The axiomatization uses semiorders (Luce, Econometrica 24:178–191, 1956), which have an intransitive indifference part and a transitive strict preference component. The axiomatization suggests new testable predictions of the priority heuristic and makes it easier for theorists to study the relation between heuristics and other axiomatic theories such as cumulative prospect theory.

Tài liệu tham khảo

Allais, M. (1953). Le comportement de l’homme rationnel devant le risque: Critique des postulats et axiomes de l’école Américaine. Econometrica, 21, 503–546. Binmore, K., & Shaked, A. (2010). Experimental economics: Where next? Journal of Economic Behavior and Organization, 73, 87–100. Birnbaum, M. H. (2008). Postscript: Rejoinder to Brandstätter et al. Psychological Review, 115, 260–262. Blavatskyy, P. R. (2010). Back to the St. Petersburg paradox? Management Science, 51, 677–678. Brandstätter, E., Gigerenzer, G., & Hertwig, R. (2006). The priority heuristic: Making choices without trade-offs. Psychological Review, 113, 409–432. Deane, G. (1969). Cardiac activity during experimentally induced anxiety. Psychophysiology, 6, 17–30. Erev, I., Ert, E., Roth, A. E., Haruvy, E., Herzog, S. M., Hau, R., et al. (2010). A choice prediction competition: Choices from experience and from description. Journal of Behavioral Decision Making, 23, 15–47. Erev, I., Roth, A. E., Slonim, S. L., & Barron G. (2002). Predictive value and the usefulness of game theoretic models. International Journal of Forecasting, 18(3), 359–368. Gigerenzer, G., & Selten, R. (2001). Rethinking rationality. In G. Gigerenzer & R. Selten (Eds.), Bounded rationality: The adaptive toolbox (pp. 1–12). Cambridge, MA: MIT Press. Harless, D. W., & Camerer, C. F. (1994). The predictive utility of generalized expected utility theories. Econometrica, 62, 1251–1289. Kahneman, D. (2003). A perspective on judgment and choice: Mapping bounded rationality. American Psychologist, 58, 697–720. Kahneman, D., & Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47, 263–291. Katsikopoulos, K. V. (2011). Psychological heuristics for making inferences: Definition, performance, and the emerging theory and practice. Decision Analysis, 8, 10–29. Katsikopoulos, K. V., & Gigerenzer, G. (2008). One-reason decision-making: Modeling violations of expected utility theory. Journal of Risk and Uncertainty, 37, 35–56. Krantz, D. H., Luce, R. D., Suppes, P., & Tversky, A. (1971). The foundations of measurement (Vol. 1). New York: Academic Press. Leland, J. W. (1994). Generalized similarity judgments: An alternative explanation for choice anomalies. Journal of Risk and Uncertainty, 9, 151–172. Leland, J. W. (2002). Similarity judgments and anomalies in intertemporal choice. Economic Inquiry, 40, 574–581. Leland, J. W. (2010). The hunt for a descriptive theory of choice under risk: a view from the road not taken. The Journal of Socio-Economics, 39, 568–577. Loewenstein, G. F., Weber, E. U., Hsee, C. K., & Welch, N. (2001). Risk as feeling. Psychological Bulletin, 127, 267–286. Loomes, G., & Sugden, R. (1987). Testing for regret and disappointment in choice under uncertainty. The Economic Journal, 97, 118–129. Lopes, L. L., & Oden, G. C. (1999). The role of aspiration level in risky choice: A comparison of cumulative prospect theory and SP/A theory. Journal of Mathematical Psychology, 43, 286–313. Luce, R. D. (1956). Semi-orders and a theory of utility discrimination. Econometrica, 24, 178–191. Luce, R. D. (1978). Lexicographic trade-off structures. Theory and Decision, 9, 187–193. MacCrimmon, K. R. (1968). Descriptive and normative implications of the decision-theory postulate. In K. H. Borch & J. Mossin (Eds.), Risk and uncertainty. New York: St. Martin’s Press. Mellers, B., Weiss, R., & Birnbaum, M. (1992). Violations of dominance in pricing judgments. Journal of Risk and Uncertainty, 5, 73–90. Neilson, W., & Stowe, J. (2002). A further examination of cumulative prospect theory parameterizations. Journal of Risk and Uncertainty, 24, 31–46. Rieskamp, J. (2008). The probabilistic nature of preferential choice. Journal of Experimental Psychology: Learning, Memory, and Cognition, 34, 1446–1465. Rubinstein, A. (1988). Similarity and decision-making under risk (is there a utility theory resolution to the Allais paradox?). Journal of Economic Theory, 46, 145–153. Sargent, T. J. (1993). Bounded rationality in macroeconomics. Oxford: Oxford University Press. Savage, L. J. (1954). The foundations of statistics. New York: Wiley. Schkade, D. A., & Johnson, E. J. (1989). Cognitive processes in preference reversals. Organizational Behavior and Human Decision Processes, 44, 203–231. Selten, R. (2001). What is bounded rationality? In G. Gigerenzer & R. Selten (Eds.), Bounded rationality: The adaptive toolbox (pp. 13–27). Cambridge, MA: MIT Press. Simon, H. A. (1955). A behavioral model of rational choice. Quarterly Journal of Economics, 69, 99–118. Simon, H. A. (1991). Models of my life. New York: Basic Books. Starmer, C. (2000). Developments in non-expected utility theory: The hunt for a descriptive theory of choice under risk. Journal of Economic Literature, 38, 332–382. Sunstein, C. R. (2003). Terrorism and probability neglect. Journal of Risk and Uncertainty, 26, 121–136. Suppes, P., Krantz, D. H., Luce, R. D., & Tversky, A. (1989). Foundations of measurement (Vol. 2). New York: Academic Press. Tversky, A., & Kahneman, D. (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297–323. von Neumann, J., & Morgenstern, O. (1944). Theory of games and economic behavior. Princeton: Princeton University Press. Wakker, P., & Tversky, A. (1993). An axiomatization of cumultive prospect theory. Journal of Risk and Uncertainty, 7, 147–176.