General Luce model

被引:41
作者
Echenique, Federico [1 ]
Saito, Kota [1 ]
机构
[1] CALTECH, Pasadena, CA 91125 USA
基金
美国国家科学基金会;
关键词
The Luce model; Logit model; Independence of irrelevant alternatives axiom; STOCHASTIC CHOICE; SEMIORDERS;
D O I
10.1007/s00199-018-1145-5
中图分类号
F [经济];
学科分类号
02 ;
摘要
We extend the Luce model of discrete choice theory to satisfactorily handle zero-probability choices. The Luce mode struggles to explain choices that are not made. The model requires that if an alternative y is never chosen when x is available, then there is no set of alternatives from which y is chosen with positive probability. In our model, if an alternative y is never chosen when x is available, then we infer that y is dominated by x. While dominated by x, y may still be chosen with positive probability, when grouped with a comparable set of alternatives.
引用
收藏
页码:811 / 826
页数:16
相关论文
共 19 条
[1]   Luce rule with limited consideration [J].
Ahumada, Alonso ;
Ulku, Levent .
MATHEMATICAL SOCIAL SCIENCES, 2018, 93 :52-56
[2]   GENERAL-THEORY OF BEST VARIANTS CHOICE - SOME ASPECTS [J].
AIZERMAN, MA ;
MALISHEVSKI, AV .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (05) :1030-1040
[3]  
[Anonymous], 1959, INDIVIDUAL CHOICE BE
[4]  
[Anonymous], 1960, CONTRIBUTIONS PROBAB
[5]   MENU-DEPENDENT STOCHASTIC FEASIBILITY [J].
Brady, Richard L. ;
Rehbeck, John .
ECONOMETRICA, 2016, 84 (03) :1203-1223
[6]  
Cerreia-Vioglio S, 2017, MULTINOMIAL LO UNPUB
[7]  
Cerreia-Vioglio S., 2016, TECH REP
[8]   The perception-adjusted Luce model [J].
Echenique, Federico ;
Saito, Kota ;
Tserenjigmid, Gerelt .
MATHEMATICAL SOCIAL SCIENCES, 2018, 93 :67-76
[9]   BINARY CHOICE PROBABILITIES - VARIETIES OF STOCHASTIC TRANSITIVITY [J].
FISHBURN, PC .
JOURNAL OF MATHEMATICAL PSYCHOLOGY, 1973, 10 (04) :327-352
[10]  
Flores A., 2017, TECH REP