Testing lexicographic semiorders as models of decision making: Priority dominance, integration, interaction, and transitivity

Journal of Mathematical Psychology - Tập 54 - Trang 363-386 - 2010
Michael H. Birnbaum1
1Department of Psychology, California State University, H-830M, P.O. Box 6846, Fullerton, CA 92834-6846, United States

Tài liệu tham khảo

Bernoulli, 1738, Specimen theoriae novae de mensura sortis, Commentarii Academiae Scientiarum Imperialis Petropoliannae, 5, 175 Birnbaum, 1973, The Devil rides again: correlation as an index of fit, Psychological Bulletin, 79, 239, 10.1037/h0033853 Birnbaum, 1974, The nonadditivity of personality impressions, Journal of Experimental Psychology, 102, 543, 10.1037/h0036014 Birnbaum, 1974, Reply to the Devil’s advocates: don’t confound model testing and measurement, Psychological Bulletin, 81, 854, 10.1037/h0037132 Birnbaum, 1997, Violations of monotonicity in judgment and decision making, 73 Birnbaum, 1999, Testing critical properties of decision making on the Internet, Psychological Science, 10, 399, 10.1111/1467-9280.00176 Birnbaum, 2004, Causes of Allais common consequence paradoxes: an experimental dissection, Journal of Mathematical Psychology, 48, 87, 10.1016/j.jmp.2004.01.001 Birnbaum, 2004, Tests of rank-dependent utility and cumulative prospect theory in gambles represented by natural frequencies: effects of format, event framing, and branch splitting, Organizational Behavior and Human Decision Processes, 95, 40, 10.1016/j.obhdp.2004.05.004 Birnbaum, 2005, A comparison of five models that predict violations of first-order stochastic dominance in risky decision making, Journal of Risk and Uncertainty, 31, 263, 10.1007/s11166-005-5103-9 Birnbaum, 2005, Three new tests of independence that differentiate models of risky decision making, Management Science, 51, 1346, 10.1287/mnsc.1050.0404 Birnbaum, 2008, Evaluation of the priority heuristic as a descriptive model of risky decision making: comment on Brandstatter et al (2006), Psychological Review, 115, 253, 10.1037/0033-295X.115.1.253 Birnbaum, 2008, New paradoxes of risky decision making, Psychological Review, 115, 463, 10.1037/0033-295X.115.2.463 Birnbaum, 2008, New tests of cumulative prospect theory and the priority heuristic: probability-outcome tradeoff with branch splitting, Judgment and Decision Making, 3, 304, 10.1017/S1930297500000875 Birnbaum, 2007, Gain-loss separability and coalescing in risky decision making, Management Science, 53, 1016, 10.1287/mnsc.1060.0592 Birnbaum, 1997, Tests of theories of decision making: violations of branch independence and distribution independence, Organizational Behavior and Human Decision Processes, 71, 161, 10.1006/obhd.1997.2721 Birnbaum, 2007, Testing for intransitivity of preferences predicted by a lexicographic semiorder, Organizational Behavior and Human Decision Processes, 104, 97, 10.1016/j.obhdp.2007.02.001 Birnbaum, 1990, A theory of comparative response times and “difference” judgments, Cognitive Psychology, 22, 184, 10.1016/0010-0285(90)90015-V Birnbaum, 2008, Dimension integration: testing models without trade-offs, Organizational Behavior and Human Decision Processes, 105, 122, 10.1016/j.obhdp.2007.07.002 Birnbaum, 1996, Violations of branch independence in choices between gambles, Organizational Behavior and Human Decision Processes, 67, 91, 10.1006/obhd.1996.0067 Birnbaum, 1998, Testing descriptive utility theories: violations of stochastic dominance and cumulative independence, Journal of Risk and Uncertainty, 17, 49, 10.1023/A:1007739200913 Birnbaum, 2008, An experimental investigation of violations of transitivity in choice under uncertainty, Journal of Risk and Uncertainty, 37, 77, 10.1007/s11166-008-9043-z Blavatskyy, 2006, Axiomatization of a preference for most probable winner, Theory and Decision, 60, 17, 10.1007/s11238-005-4753-z Brandstätter, 2006, The priority heuristic: choices without tradeoffs, Psychological Review, 113, 409, 10.1037/0033-295X.113.2.409 Brandstätter, 2008, Risky Choice with Heuristics: reply to Birnbaum (2008), Johnson, Schulte-Mecklenbeck, & Willemsen (2008) and Rieger & Wang (2008), Psychological Review, 115, 281, 10.1037/0033-295X.115.1.281 Busemeyer, 1993, Decision Field Theory: a dynamic cognition approach to decision making, Psychological Review, 100, 432, 10.1037/0033-295X.100.3.432 Edwards, 1954, The theory of decision making, Psychological Bulletin, 51, 380, 10.1037/h0053870 Glöckner, 2008, Do people make decisions under risk based on ignorance? An empirical test of the priority heuristic against cumulative prospect theory, Organizational Behavior and Human Decision Processes, 107, 75, 10.1016/j.obhdp.2008.02.003 González-Vallejo, 2002, Making trade-offs: a probabilistic and context-sensitive model of choice behavior, Psychological Review, 109, 137, 10.1037/0033-295X.109.1.137 Iverson, 1985, Statistical issues in measurement, Mathematical Social Sciences, 10, 131, 10.1016/0165-4896(85)90031-9 Iverson, G.J., & Myung, J.I. (2010). Intransitivity of preference: Revisited. Working paper. Available from Geoffrey J. Iverson, Institute for Mathematical Behavioral Sciences, UCI, Irvine, CA 92697. Johnson, 2005, A dynamic, computational model of preference reversal phenomena, Psychological Review, 112, 841, 10.1037/0033-295X.112.4.841 Kahneman, 1979, Prospect theory: an analysis of decision under risk, Econometrica, 47, 263, 10.2307/1914185 Leland, 1994, Generalized similarity judgments: an alternative explanation for choice anomalies, Journal of Risk and Uncertainty, 9, 151, 10.1007/BF01064183 Leland, 1998, Similarity judgments in choice under uncertainty: a re-interpretation of the predictions of regret theory, Management Science, 44, 659, 10.1287/mnsc.44.5.659 Lopes, 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, 10.1006/jmps.1999.1259 Loomes, 1991, Observing violations of transitivity by experimental methods, Econometrica, 59, 425, 10.2307/2938263 Loomes, 1982, Regret theory: an alternative theory of rational choice under uncertainty, Economic Journal, 92, 805, 10.2307/2232669 Luce, 1956, Semiorders and a theory of utility discrimination, Econometrica, 24, 178, 10.2307/1905751 Luce, 2000 Luce, 1991, Rank- and sign-dependent linear utility models for finite first order gambles, Journal of Risk and Uncertainty, 4, 29, 10.1007/BF00057885 Luce, 1995, A note on deriving rank-dependent utility using additive joint receipts, Journal of Risk and Uncertainty, 11, 5, 10.1007/BF01132728 Marley, 2001, Rank-weighted utilities and qualitative convolution, Journal of Risk and Uncertainty, 23, 135, 10.1023/A:1011132102314 Marley, 2005, Independence properties vis-à-vis several utility representations, Theory and Decision, 58, 77, 10.1007/s11238-005-2460-4 Quiggin, 1993 Regenwetter, M., Dana, J., & Davis-Stober, C. (2010). Transitivity of Preferences. Psychological Review, in press. Rieskamp, 2006, Extending the bounds of rationality: a review of research on preferential choice, Journal of Economic Literature, 35, 631, 10.1257/jel.44.3.631 Rubinstein, 1988, Similarity and decision-making under risk (Is there a utility theory resolution to the Allais paradox?), Journal of Economic Theory, 46, 145, 10.1016/0022-0531(88)90154-8 Sopher, 1993, Intransitive cycles: rational Choice or random error? An answer based on estimation of error rates with experimental data, Theory and Decision, 35, 311, 10.1007/BF01075203 Starmer, 2000, Developments in non-expected utility theory: the hunt for a descriptive theory of choice under risk, Journal of Economic Literature, 38, 332, 10.1257/jel.38.2.332 Stevenson, 1991, Judgment and decision-making theory, 283 Tversky, 1969, Intransitivity of preferences, Psychological Review, 76, 31, 10.1037/h0026750 Tversky, 1992, Advances in prospect theory: cumulative representation of uncertainty, Journal of Risk and Uncertainty, 5, 297, 10.1007/BF00122574 Weber, 2007, The effects of losses and event splitting on the Allais paradox, Judgment and Decision Making, 2, 115, 10.1017/S1930297500000097 Wu, 2004, Decision under risk, 399 Zhang, 2006, The majority rule in individual decision making, Organizational Behavior and Human Decision Processes, 99, 102, 10.1016/j.obhdp.2005.06.004