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Psychophysics of the probability weighting function
Title: | Psychophysics of the probability weighting function |
Authors: | Takahashi, Taiki Browse this author →KAKEN DB |
Keywords: | Neuroeconomics | Econophysics | Uncertainty | Prospect theory | Decision-making | Tsallis' statistics |
Issue Date: | 1-Mar-2011 |
Publisher: | Elsevier B.V. |
Journal Title: | Physica A : Statistical Mechanics and its Applications |
Volume: | 390 |
Issue: | 5 |
Start Page: | 902 |
End Page: | 905 |
Publisher DOI: | 10.1016/j.physa.2010.10.004 |
Abstract: | A probability weighting function w(p) for an objective probability p in decision under risk plays a pivotal role in Kahneman-Tversky's prospect theory. Although recent studies in econophysics and neuroeconomics widely utilized probability weighting functions, psychophysical foundations of the probability weighting functions have been unknown. Notably, a behavioral economist Prelec (1998) axiomatically derived the probability weighting function: w(p) = exp(-(-In p)α) (0 < α < 1; w (0) = 1, w(1/e) = 1/e, w(1) = 1), which has extensively been studied in behavioral neuroeconomics. The present study utilizes psychophysical theory to derive Prelec's probability weighting function from psychophysical laws of perceived waiting time in probabilistic choices. Also, the relations between the parameters in the probability weighting function and the probability discounting function in behavioral psychology are derived. Future directions in the application of the psychophysical theory of the probability weighting function in econophysics and neuroeconomics are discussed. |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/45059 |
Appears in Collections: | 文学院・文学研究院 (Graduate School of Humanities and Human Sciences / Faculty of Humanities and Human Sciences) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 高橋 泰城
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