Heller, Yuval (2009): Justifiable choice.
This is the latest version of this item.
Preview |
PDF
MPRA_paper_25892.pdf Download (434kB) | Preview |
Abstract
Simonson and Tversky (Journal of Marketing Research, 1992) demonstrated that the tendency to choose an alternative is enhanced or hindered depending on whether the tradeoffs within the set under consideration are favorable or unfavorable to that option (tradeoff contrast effect). In this paper we present an axiom that formulates this effect, and show that it yields a multiple utility representation in von-Neumann-Morgenstern framework: there is a unique convex set of vN-M utilities, such that an element is chosen if and only if it is best with respect to one of the utilities in this set. Similarly, we apply this axiom to Anscombe-Aumann framework and obtain a multiple prior representation. Finally, we study the notions of indifference, indecisiveness, and being more decisive in our models.
Item Type: | MPRA Paper |
---|---|
Original Title: | Justifiable choice |
Language: | English |
Keywords: | uncertainty, multiple priors, multiple utilities, incomplete preferences, anchoring, framing, non-binary choice. |
Subjects: | D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty |
Item ID: | 25892 |
Depositing User: | Yuval Heller |
Date Deposited: | 18 Oct 2010 18:20 |
Last Modified: | 30 Sep 2019 06:36 |
References: | F. J. Anscombe, and R. J. Aumann, 1963. A definition of subjective probability, Annals of Mathematical Statistics 34, 199-295. Armstrong W.E., 1939. The determinateness of the utility function. Economic Journal 49. Batra R.N., Pattanaik P.K., 1972. On some suggestions for having non-binary social choice functions. Theory and Decision 3, 1-11. Battigalli P., 1987. Comportanmento rezionale ed equilibrio nei glochi e nelle situazioni sociali, unpublished dissertation, Milano, Bocconi University. Bewley T.F., 2002. Knightian decision theory - part 1. Decisions in economics and finance 25, 79-110. Cherepanov V., Feddersen T., Sandroni A., 2008. Rationalization. mimeo. Deb R, 1983. Binariness and rational choice. Mathematical Social Sciences 5(1), 97-105. Ellsberg D., 1961. Risk, ambiguity and the Savage axioms. Quarterly Journal of Economics 75, 643-669. Fishburn, P. C. 1970a, Intransitive individual indifference and transitive majorities, Econometrica, 38. Fishburn, P. C. 1970, Utility Theory for Decision Making. Wiley, New-York. Fishburn, 1991. Nontransitive preferences in decision theory. Journal of risk and uncertainty 4, 113-134. Fudenberg D., Levine D.K., 1993. Self-confirming equilibrium, Econometrica 61, 523-545. Georgescu-Roegen N., 1958. Threshold in choice and the theory of demand, Econometrica 26. Ghirardato P., Maccheroni F., Marinacci M., 2004. Differentiating ambiguity and ambiguity attitude, Journal of Economic Theory 118, 133-173. Gilboa I., Schmeidler D., 1989. Maxmin expected utility with a non-unique prior, Journal of Mathematical Economics 18, 141-153. Gilboa I., Schmeidler D., 2001. A Theory of Case-Based Decisions. Cambridge: Cambridge University press. Gilboa I., Maccheroni F., Marinacci M., Schmeidler D., 2008. Objective and Subjective rationality in a multiple prior model, manuscript. Heath C, Tversky A, Preference and belief: ambiguity and competence in choice under uncertainty, Journal of Risk and Uncertainty, 1991. Inada K, Majority rule and rationality, Journal of Economic Theory, 2. Kalai E., Lehrer E., 1993. Subjective equilibrium in repeated games, Econometrica 61 (1993), 1231-1240. Kalai G., Rubinstein A., Spiegler R., 2002. Rationalizing choice functions by multiple rationals. Econometrica 70 (6), 2481-2488. Kilbanoff P., Marinacci M., Mukerji S., 2005. A smooth model of decision making under ambiguity, Econometrica 73, 1849-1892. Kim T., Richter M., 1985. Nontransitive nontotal consumer theory, Journal of Economic Theory 38, 324-363. Lehrer E., Teper R., 2009. Justifiable preferences. manuscript. http://www.math.tau.ac.il/~teperroe/Papers/just.pdf Loomes G., Sugden R., 1982. Regret theory: an alternative theory of rational choice under uncertainty, The Economic Journal 92, 805-824. Luce R.D., Raiffa H., 1957. Games and Decisions. Wiley, New York. Luce R D, von Winterfeldt D, 1994. What common grounds exists for descriptive, perspective, and normative utility theories. Management Science, 40 (2), 263-279. MacCrimmon K.R., Larsson S., 1979. Utility theory: axioms versus 'paradoxes'. In M. Allais and O. Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. Dordrecht, Holland: Reidal, 333-409. Maccheroni F., Marinacci M., Rustchini A., 2006. Ambiguity aversion, robustness, and the variational representation of preferences, Econometrica 74, 1447-1498. Machina MJ, 1982. "Expected Utility" Analysis without the Independence Axiom. Econometrica 50(2), 277-323. Majumdar T., 1962. The Measurement of Utility, London: Macmillan, 2nd ed. Mandler M., 2005. Incomplete preferences and rational intransitivity of choice. Games and Economic Behavior, 255-277. Manzini P., Mariotti M., 2007. Sequantually rationalizable choice. American Economic Review 97 (5), 1824-1839. May K.O., 1951. Intransitivity, utility and the aggregation of preference patterns, Econometrica 22, 1-13. Nehring, K, 1997. Rational choice and revealed preference without binariness. Social Choice and Welfare 14, 403-425 Raiffa H, 1961. Risk ambiguity, and the Savage axioms: comment. The Quarterly Journal of Economics. 75 (4), 690-694. Rubinstein A. and Salant Y., 2006. Two comments on the principle of revealed preference. Mimeo. http://arielrubinstein.tau.ac.il/papers/frames.pdf Rubinstein A., Salant Y., 2008. Choice with frames. Review of Economic Studies 75, 1287-1296. Rubinstein A. ,Wolinsky A., 1994. Rationalizable conjectural equilibrium: between Nash and rationalizabilty, Games and Economic Behavior 6, 299-311. Savage L.J., 1954. The Foundations of Statistics, Wiley, New-York. Schwartz T., Rationality and the Myth of Maximum, Nous 6 (2), 97-117. Schmeidler D., 1989. Subjective probability and expected utility without additivity, Econometrica 57, 571-587. Sen A.K., 1971. Choice functions and revealed preferences, Review of Economic Studies 38, 307-317. Shafir E, Simonson I, Tversky A, 1993. Reason-based choice. Cognition 49, 11-36. Sion M., 1958. On general Minimax theorems, Pac. J. Math. 8, 171-176 Tversky A., 1969. Intransitivity of preferences, Psychological Review 76, 31-48. Tversky, A, Kahneman, D, 1974. Judgments under uncertainty: Heuristics and biases. Science, 185, 1124-1131 Tversky A, Kahneman D, 1981. The framing of decisions and the psychology of choice, Science (211), 453-458. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/25892 |
Available Versions of this Item
-
Justifiable choice. (deposited 11 Aug 2009 05:42)
- Justifiable choice. (deposited 02 Apr 2014 06:02)
-
Justifiable choice. (deposited 01 Sep 2009 07:52)
- Justifiable choice. (deposited 18 Oct 2010 18:20) [Currently Displayed]