The purpose of this report is to discuss, explain, and position the more notable literature on logically consistent market share demand models. More specifically, the report explains and provides examples for the analysis by McGuire et al., discusses the recent paper by Naert and Bultez, and comments on a recent related article by Beckwith.
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References
1.
BeckwithNeil E. “Concerning the Logical Consistency of Multivariate Market Share Models,” Journal of Marketing Research, 10 (August1973), 341–4.
2.
BeckwithNeil E. “Multivariate Analysis of Sales Responses of Competing Brands to Advertising,” Journal of Marketing Research, 9 (May1972), 168–76.
3.
McGuireTimothy W., FarleyJohn U., LucasRobert E.Jr., and RingL. Winston. “Estimation and Inference for Linear Models in which Subsets of the Dependent Variable are Constrained,” Journal of the American Statistical Association, 63 (December1968), 1201–13.
4.
McGuireTimothy W., WeissDoyle L., and HoustonFranklin S.. “The Multinomial Logit as a Model for Demand Relationships,” Working Paper 254, Faculty of Commerce and Business Administration, University of British Columbia, May1974.
5.
NaertPhilippe A., and BultezAlain. “Logically Consistent Market Share Models,” Journal of Marketing Research, 10 (August1973), 334–40.
6.
TheilH. “A Multinomial Extension of the Linear Logit Model,” International Economic Review, 10 (October1969), 251–9.
