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Multinomial Logit Market Share Models: Equilibrium Characteristics and Strategic Implications

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  • Suman Basuroy

    (Faculty of Management, Rutgers University, 180 University Avenue, Newark, New Jersey 07102)

  • Dung Nguyen

    (Joseph M. Katz Graduate School of Business, University of Pittsburgh, Pittsburgh, Pennsylvania 15260)

Abstract

We specify and analyze the conditions under which the MNL market share models are appropriate for equilibrium analysis. Our results show that a linear price response function as is often used in empirical research, in conjunction with the typical concavity assumed in a large range of marketing response functions, would yield an interior equilibrium solution. We then consider the optimal reactions on pricing and marketing spending to entry and potential market expansion. In the context of the MNL models, we demonstrate that the entry of a new brand evokes a decrease in the equilibrium prices of the existing brands as a defensive reaction. This is true in both an expanding market as well as a fixed market. However, while new entry into a fixed market would trigger the incumbents to lower the marketing expenditure, we show that firms tend to raise marketing activities as they experience market expansion. Consequently, there exist distinct possibilities that marketing efforts for the existing brands increase in view of entry in an expanding market. Further managerial and marketing implications for endogeneity of the number of firms are explored.

Suggested Citation

  • Suman Basuroy & Dung Nguyen, 1998. "Multinomial Logit Market Share Models: Equilibrium Characteristics and Strategic Implications," Management Science, INFORMS, vol. 44(10), pages 1396-1408, October.
  • Handle: RePEc:inm:ormnsc:v:44:y:1998:i:10:p:1396-1408
    DOI: 10.1287/mnsc.44.10.1396
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    References listed on IDEAS

    as
    1. John R. Hauser & Steven M. Shugan, 2008. "Defensive Marketing Strategies," Marketing Science, INFORMS, vol. 27(1), pages 88-110, 01-02.
    2. Philip Kotler, 1965. "Competitive Strategies for New Product Marketing Over the Life Cycle," Management Science, INFORMS, vol. 12(4), pages 104-119, December.
    3. Aneel Karnani, 1985. "Strategic Implications of Market Share Attraction Models," Management Science, INFORMS, vol. 31(5), pages 536-547, May.
    4. Pradeep K. Chintagunta, 1993. "Investigating the Sensitivity of Equilibrium Profits to Advertising Dynamics and Competitive Effects," Management Science, INFORMS, vol. 39(9), pages 1146-1162, September.
    5. Peter M. Guadagni & John D. C. Little, 1983. "A Logit Model of Brand Choice Calibrated on Scanner Data," Marketing Science, INFORMS, vol. 2(3), pages 203-238.
    6. Thomas S. Gruca & K. Ravi Kumar & D. Sudharshan, 1992. "An Equilibrium Analysis of Defensive Response to Entry Using a Coupled Response Function Model," Marketing Science, INFORMS, vol. 11(4), pages 348-358.
    7. Vijay Mahajan & Eitan Muller, 1986. "Advertising Pulsing Policies for Generating Awareness for New Products," Marketing Science, INFORMS, vol. 5(2), pages 89-106.
    8. Vijay Mahajan & Eitan Muller, 1986. "Reply—Reflections on Advertising Pulsing Policies for Generating Awareness for New Products," Marketing Science, INFORMS, vol. 5(2), pages 110-111.
    9. John R. Hauser & Steven P. Gaskin, 1984. "Application of the “Defender” Consumer Model," Marketing Science, INFORMS, vol. 3(4), pages 327-351.
    10. K. Ravi Kumar & D. Sudharshan, 1988. "Defensive Marketing Strategies: An Equilibrium Analysis Based on Decoupled Response Function Models," Management Science, INFORMS, vol. 34(7), pages 805-815, July.
    11. William T. Robinson, 1988. "Marketing Mix Reactions to Entry," Marketing Science, INFORMS, vol. 7(4), pages 368-385.
    12. Besanko, David & Perry, Martin K & Spady, Richard H, 1990. "The Logit Model of Monopolistic Competition: Brand Diversity," Journal of Industrial Economics, Wiley Blackwell, vol. 38(4), pages 397-415, June.
    13. George E. Monahan, 1987. "The Structure of Equilibria in Market Share Attraction Models," Management Science, INFORMS, vol. 33(2), pages 228-243, February.
    14. Cubbin, John S & Domberger, Simon, 1988. "Advertising and Post-entry Oligopoly Behaviour," Journal of Industrial Economics, Wiley Blackwell, vol. 37(2), pages 123-140, December.
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