Error Theory for Elimination by Aspects

Elimination by aspects (EBA) is a random utility model that is considered to represent the choice process used by consumers more faithfully than logit and probit models. One limitation of the model is that it does not have a known error theory. We show that EBA can be derived by assuming that aspects have random utilities with independent, extreme value distributions. Multinomial logit and rank-ordered logit models are special cases of EBA.

[1]  Carl E. Rasmussen,et al.  A choice model with infinitely many latent features , 2006, ICML.

[2]  Greg M. Allenby,et al.  Estimating Heterogeneous EBA and Economic Screening Rule Choice Models , 2006 .

[3]  A. A. J. Marley,et al.  Random utility models with equality: An apparent, but not actual, generalization of random utility models , 1974 .

[4]  R. Luce,et al.  Individual Choice Behavior: A Theoretical Analysis. , 1960 .

[5]  Ajay K. Manrai,et al.  Elimination-By-Cutoffs , 1989 .

[6]  A. Tversky,et al.  Substitutability and similarity in binary choices , 1969 .

[7]  David H. Krantz,et al.  Rational distance functions for multidimensional scaling , 1967 .

[8]  H. D. Block,et al.  Random Orderings and Stochastic Theories of Responses (1960) , 1959 .

[9]  A. Tversky Choice by elimination , 1972 .

[10]  C. Coombs,et al.  On the use of inconsistency of preferences in psychological measurement. , 1958, Journal of experimental psychology.

[11]  Randall G. Chapaaan,et al.  Exploiting Rank Ordered Choice Set Data within the Stochastic Utility Model , 1982 .

[12]  John S. Chipman,et al.  Stochastic Choice and Subjective Probability , 1960 .

[13]  D. McFadden Econometric Models of Probabilistic Choice , 1981 .

[14]  Peter S. Fader,et al.  An Elimination by Aspects Model of Consumer Response to Promotion Calibrated on UPC Scanner Data , 1990 .

[15]  Sang-June Park,et al.  A theoretical note on the number of free parameters in the Elimination-By-Aspects model , 2013 .

[16]  Jerry A. Hausman,et al.  Assessing the potential demand for electric cars , 1981 .

[17]  Jacob Marschak,et al.  Stochastic models of choice behavior , 2007 .

[18]  Andrew Daly,et al.  On the Equivalence Between Elimination-By-Aspects and Generalised Extreme Value Models of Choice Behaviour: , 2006 .

[19]  W. R. Buckland,et al.  Contributions to Probability and Statistics , 1960 .

[20]  A. Tversky Elimination by aspects: A theory of choice. , 1972 .

[21]  R. Kohli,et al.  Representation and Inference of Lexicographic Preference Models and Their Variants , 2007 .

[22]  Christopher M. Miller,et al.  Useful mathematical relationships embedded in Tversky's elimination by aspects model , 2003 .