A quantum-like model of selection behavior

被引：30

作者：

Asano, Masanari ^{[1
]}

Basieva, Irina ^{[2
]}

Khrennikov, Andrei ^{[2
]}

Ohya, Masanori ^{[3
]}

Tanaka, Yoshiharu ^{[3
]}

机构：

[1] Tokuyama Coll, Natl Inst Technol, Liberal Arts Div, Shunan, Yamaguchi 7458585, Japan

[2] Linnaeus Univ, Int Ctr Math Modeling Phys & Cognit Sci, Vaxjo Kalmar, Sweden

[3] Tokyo Univ Sci, Dept Informat Sci, Yamasaki 2641, Noda, Chiba 2788510, Japan

来源：

JOURNAL OF MATHEMATICAL PSYCHOLOGY | 2017年 / 78卷

基金：

欧盟地平线“2020”;

关键词：

Prospect theory; Ellsberg paradox; Machina paradox; WTA and WTP; Quantum-like approach; DECISION-MAKING; PROSPECT-THEORY; EXPECTED UTILITY; AMBIGUITY; PROBABILITY; REPRESENTATION; INTERFERENCE; INEQUALITY; DYNAMICS; AVERSION;

D O I：

10.1016/j.jmp.2016.07.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new model of selection behavior under risk that describes an essential cognitive process for comparing values of objects and making a selection decision. This model is constructed by the quantum-like approach that employs the state representation specific to quantum theory, which has the mathematical framework beyond the classical probability theory. We show that our quantum approach can clearly explain the famous examples of anomalies for the expected utility theory, the Ellsberg paradox, the Machina paradox and the disparity between WTA and WTP. Further, we point out that our model mathematically specifies the characteristics of the probability weighting function and the value function, which are basic concepts in the prospect theory. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：2 / 12

页数：11

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