On subjective expected value under ambiguity

被引:3
作者
Jirousek, Radim [1 ,2 ]
Kratochvil, Vaclav [1 ,2 ]
机构
[1] Univ Econ, Fac Management, Jindrichuv Hradec, Czech Republic
[2] Czech Acad Sci, Inst Informat Theory & Automat, Prague, Czech Republic
关键词
Ambiguity; Belief function; Decision-making; Behavioral study; BELIEF; PREFERENCES; PROBABILITY; UNCERTAINTY;
D O I
10.1016/j.ijar.2020.09.002
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The paper describes decision-making models based on a newly introduced notion of personal expected value. Such models exhibit the ambiguity aversion, which is controlled by a subjective parameter with the semantics of "the higher the aversion, the higher the coefficient". For negative values of this parameter, the models thus manifest a positive attitude to ambiguity. If this parameter equals zero, then the respective model turns into the usual belief function without the aversion to ambiguity. In this case, the personal expected value equals the recently introduced Shenoy's expectation. Finally, the behavior of these models is briefly compared with experimental data. (c) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码:70 / 82
页数:13
相关论文
共 39 条
[1]   Testing ambiguity and Machina preferences within a quantum-theoretic framework for decision-making [J].
Aerts, Diederik ;
Geriente, Suzette ;
Moreira, Catarina ;
Sozzo, Sandro .
JOURNAL OF MATHEMATICAL ECONOMICS, 2018, 78 :176-185
[2]  
[Anonymous], 1989, UAI 89 P 5 ANN C UNC
[3]  
[Anonymous], 1972, The Foundations of Statistics
[4]   A Note on Comparative Ambiguity Aversion and Justifiability [J].
Battigalli, P. ;
Cerreia-Vioglio, S. ;
Maccheroni, F. ;
Marinacci, M. .
ECONOMETRICA, 2016, 84 (05) :1903-1916
[5]  
Bína V, 2017, PROCEEDINGS OF THE 20TH CZECH-JAPAN SEMINAR ON DATA ANALYSIS AND DECISION MAKING UNDER UNCERTAINTY, P15
[6]   Measures of uncertainty for imprecise probabilities: An axiomatic approach [J].
Bronevich, Andrey ;
Klir, George J. .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2010, 51 (04) :365-390
[7]   RECENT DEVELOPMENTS IN MODELING PREFERENCES - UNCERTAINTY AND AMBIGUITY [J].
CAMERER, C ;
WEBER, M .
JOURNAL OF RISK AND UNCERTAINTY, 1992, 5 (04) :325-370
[8]   Probabilistic sophistication, second order stochastic dominance and uncertainty aversion [J].
Cerreia-Vioglio, Simone ;
Maccheroni, Fabio ;
Marinacci, Massimo ;
Montrucchio, Luigi .
JOURNAL OF MATHEMATICAL ECONOMICS, 2012, 48 (05) :271-283
[9]  
Choquet G., 1954, Ann. Inst. Fourier, V5, P131, DOI [DOI 10.5802/AIF.53, 10.5802/aif.53]
[10]   On the plausibility transformation method for translating belief function models to probability models [J].
Cobb, BR ;
Shenoy, PP .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2006, 41 (03) :314-330