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References
Allais, M. (1953). Le comportement de l’homme rationnel devant le risque: Critique des postulates et axiomes de l’ecole Americaine. Econometrica, 21, 503–546.
Anscombe, F. J., & Aumann, R. J. (1963). A definition of subjective probability. The Annals of Mathematical Statistics, 34, 199–205.
Benartzi, S., & Thaler, R. H. (1995). Myopic loss aversion and the equity premium puzzle. Quarterly Journal of Economics, 110, 73–92.
Camerer, C. (1995). Individual decision making. In J. H. Hagel & A. E. Roth (Eds.), Handbook of experimental economics (pp. 587–703). Princeton, NJ: Princeton University Press.
Camerer, C. F. (2000). Prospect theory in the wild: Evidence from the field. In D. Kahneman & A. Tversky (Eds.), Choices, values, and frames (pp. 288–300). Cambridge, UK: Cambridge University Press.
Camerer, C. F., Loewenstein, G., & Rabin, M. (Eds.). (2004). Advances in behavioral economics. Princeton, NJ: Princeton University Press.
Chiccheti, C., & Dubin, J. (1994). A microeconometric analysis of risk aversion and the self-insure. Journal of Political Economy, 102, 169–186.
Choquet, G. (1954). Theory of capacities. Annales de l’institut Fourier, 5, 131–195.
Dawes, R. M. (1979). The robust beauty of improper linear models in decision making. American Psychologist, 34(7), 571–582.
De Waegenaere, A., & Wakker, P. P. (2001). Nonmonotonic Choquet integrals. Journal of Mathematical Economics, 36, 45–60.
Edwards, W. (Ed.). (1992). Utility theories: Measurement and applications. Boston, MA: Kluwer Academic Publishers.
Einhorn, H., & Hogarth, R. (1985). Ambiguity and uncertainty in probabilistic inference. Psychological Review, 92, 433–461.
Einhorn, H., & Hogarth, R. (1986). Decision-making under ambiguity. Journal of Business, 59, 225–250.
Ellsberg, D. (1961). Risk, ambiguity, and the Savage axiom. Quarterly Journal of Economics, 75, 643–669.
Fechner, G. (1860). Elemente der psychophysik. Leibzing, DE: Breitkopf & Hartel.
Fishburn, P. C. (1988). Nonlinear preference and utility theory. Sussex, UK: Wheatsheaf Books.
Gigerenzer, G., & Strube, G. (1983). Are there limits to binaural additivity of loudness? Journal of Experimental Psychology: Human Perception and Performance, 9(1), 126–136.
Gilboa, I. (2009). Theory of Decision under Uncertainty. Cambridge, UK: Cambridge University Press.
Gonzalez, R., & Wu, G. (1999). On the shape of the probability weighting function. Cognitive Psychology, 38(1), 129–166.
Kahneman, D., Knetsch, J. L., & Thaler, R. H. (1990). Experiment tests of the endowment effect and coase theorem. Journal of Political Economy, 98, 1325–1348.
Kahneman, D., Knetsch, J. L., & Thaler, R. H. (1991). The endowment effect, loss aversion, and status quo bias. Journal of Economic Perspectives, 5, 193–206.
Kahneman, D., & Tversky, A. (1979). Prospect theory: an analysis of decision under risk. Econometrica, 47, 263–292.
Levelt, W. J., Riemersma, J. B., & Bunt, A. A. (1972). Binaural additivity of loudness. British Journal of Mathematical and Statistical Psychology, 25, 51–68.
Loewenstein, G., & Prelec, D. (1992). Anomalies in intertemporal choice: evidence and an interpretation. The Quarterly Journal of Economics, 107(2), 573–597.
Mazur, J. E. (1987). An adjusting procedure for studying delayed reinforcement. In M. L. Commons, J. E. Mazur, J. A. Nevin, & H. Rachlin (Eds.), The effect of delay and of intervening events on reinforcement value (pp. 55–73). Hillsdale, NJ: Erlbaum.
Murakami, H., Ideno, T., Tamari, Y., & Takemura, K. (2014). Kakuritsu kajū kansū ni taisuru moderu no teian to sono hikaku kentō [Proposal of probability weighting function model and psychological experiment for the comparisons]. Poster session presented at The Proceedings of the 78th Annual Convention of the Japanese Psychological Association, Kyoto, JP.
Murofushi, T., Sugeno, M., & Machida, M. (1994). Nonmonotonic fuzzy measures and choquet integral. Fuzzy Sets and System, 64, 73–86.
Nakamura, K. (1992). On the nature of intransitivity in human preferential judgments. In V. Novak, J. Ramik, M. Mares, M. Cherny, & J. Nekola (Eds.), Fuzzy approach to reasoning and decision making (pp. 147–162). Dordrecht, NL: Kluwer.
Odean, T. (1998). Are investors reluctant to realize their losses? Journal of Finance, 53, 1775–1798.
Payne, J. W., Bettman, J. R., & Johnson, E. J. (1993). The adaptive decision maker. New York, NY: Cambridge University Press.
Prelec, D. (1998). The probability weighting function. Econometrica, 66(3), 497–527.
Quiggin, J. (1993). Generalized expected utility theory: The rank dependent model. Boston, MA: Kluwer Academic Publishers.
Savage, L. J. (1954). The foundations of statistics. New York, NY: Wiley.
Schmeidler, D. (1989). Subjective probability and expected utility without additivity. Econometrica, 57, 571–587.
Seo, F. (1994). ShikĹŤ no Gijutsu: Aimai kankyĹŤka no keiei ishikettei [Thinking techniques: Management decision making under ambiguity environment]. Tokyo, JP: Yuhikaku Publishing.
Shefrin, H. M., & Statman, M. (1985). The disposition to sell winners too early and ride losers too long. Journal of Finance, 40, 777–790.
Starmer, C. (2000). Developments in non-expected utility theory: The hunt for descriptive theory of choice under risk. Journal of Economic Literature, 38, 332–382.
Stott, H. P. (2006). Cumulative prospect theory’s functional menagerie. Journal of Risk and Uncertainty, 32(2), 101–130.
Sugeno, M., & Murofushi, T. (1993). Kōza fajī 3: Fajī sokudo [Fuzzy theory 3: Fuzzy measure]. Tokyo, JP: Nikkan Kogyo Shimbunsha.
Tada, Y. (2003). Kōdō Keizaigaku Nyūmon [Introduction to behavioral economics]. Tokyo, JP: Nikkei Inc.
Takemura, K. (1998). Jōkyō izonteki ishikettei no teiseiteki moderu: Shinteki monosashi riron niyoru setsumei [Qualitative model of contingent decision-making: An explanation of using the mental ruler theory]. Ninchi Kagaku [Cognitive Studies], 5(4), 17–34.
Takemura, K. (2000). Vagueness in human judgment and decision making. In Z. Q. Liu & S. Miyamoto (Eds.), Soft computing for human centered machines (pp. 249–281). Tokyo, JP: Springer.
Takemura, K. (2001). Contingent decision making in the social world. In C. M. Allwood & M. Selart (Eds.), Decision making: Social and creative dimensions (pp. 153–173). Dordrecht, NL: Kluwer Academic Publishers.
Takemura, K. (2011). Tazokusei ishikettei no shinri moderu to “yoi ishikettei” [Psychological model of multi-attribute decision making and good decision]. Opereshonzu risachi [Journal of the Operations Research Society of Japan], 56, 583–590.
Takemura, K. (2014). Behavioral decision theory: Psychological and mathematical representations of human choice behavior. Tokyo, JP: Springer.
Takemura, K., & Murakami, H. (2016). Probability weighting functions derived from hyperbolic time discounting: psychophysical models and their individual level testing., Frontiers in Psychology, 7, 778. https://doi.org/10.3389/fpsyg.2016.00778.
Takemura, K., & Murakami, H. (2018). A testing method of probability weighting functions from an axiomatic perspective. Frontiers in Applied Mathematics and Statistics, 4, 48. https://doi.org/10.3389/fams.2018.00048.
Takemura, K., Murakami, H., Tamari, Y., & Ideno, T. (2013). Probability weighting function and value function based on unified psychological model. Paper presented at 2013 Asia-Pacific Meeting of the Economic Science Association, Tokyo, JP.
Takemura, K., Murakami, H., Tamari, Y., & Ideno, T. (2014). Probability weighting function models and psychological experiment for the comparisons. Paper presented at Soft Science Workshop of Japan Society for Fuzzy Theory and Intelligent Infomatics, Fukuoka, JP.
Tamura, H., Nakamura, Y., & Fujita, S. (1997). Kōyō bunseki no sūri to ōyō [Mathematical principles and application of utility analysis]. Tokyo, JP: Corona Publishing.
Thaler, R. H., & Ziemba, W. T. (1988). Anomalies: Parimutuel betting markets: Racetracks and lotteries. Journal of Economic Perspectives, 2(2), 161–174.
Toshino, M. (2004). ShĹŤken shijĹŤ to kĹŤdĹŤ fainansu [Security market and behavioral finance]. Tokyo, JP: Toyo Keizai.
Tversky, A., & Kahneman, D. (1983). Extensional versus intuitive reasoning: The conjunction fallacy in probability judgment. Psychological Review, 90(4), 293–315.
Tversky, A., & Kahneman, D. (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297–323.
Wu, G., & Gonzalez, R. (1996). Curvature of the probability weighting function. Management Science, 42(12), 1676–1690.
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Takemura, K. (2019). Nonlinear Utility Theory and Prospect Theory: Eliminating the Paradoxes of Linear Expected Utility Theory. In: Foundations of Economic Psychology. Springer, Singapore. https://doi.org/10.1007/978-981-13-9049-4_4
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