Market Shares Follow the Zipf Distribution
The Zipf distribution is known to describe various natural phenomena, including city populations in the United States, frequency of English words in literature, immune system response in human beings, and certain aspects of Internet traffic. Using data from 70 markets, we show that the market shares by rank order follow the Zipf distribution. Our work makes a fundamental contribution in understanding the distribution of market shares, as we make no assumption about the order of entry and our results are valid for arbitrary number of competitors in market. We compare the predictions of our model with those from the analytical models in marketing literature. The comparison reveals that market share predicted by the Zipf model fits well with the predictions from the analytical models.
|Date of creation:||2002|
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- Hauser, John R. & Shugan, Steven., 1981.
"Defensive marketing stategies,"
1243-81., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- 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.
- Hauser, John R & Wernerfelt, Birger, 1990. " An Evaluation Cost Model of Consideration Sets," Journal of Consumer Research, Oxford University Press, vol. 16(4), pages 393-408, March.
- Glen L. Urban & Theresa Carter & Steven Gaskin & Zofia Mucha, 1986. "Market Share Rewards to Pioneering Brands: An Empirical Analysis and Strategic Implications," Management Science, INFORMS, vol. 32(6), pages 645-659, June.
- Gurumurthy Kalyanaram & Glen L. Urban, 1992. "Dynamic Effects of the Order of Entry on Market Share, Trial Penetration, and Repeat Purchases for Frequently Purchased Consumer Goods," Marketing Science, INFORMS, vol. 11(3), pages 235-250.
- Christina L. Brown & James M. Lattin, 1994. "Investigating the Relationship Between Time in Market and Pioneering Advantage," Management Science, INFORMS, vol. 40(10), pages 1361-1369, October.
- Agarwal, Rajshree, 1996. "Technological activity and survival of firms," Economics Letters, Elsevier, vol. 52(1), pages 101-108, July.
- K. Sridhar Moorthy, 1988. "Product and Price Competition in a Duopoly," Marketing Science, INFORMS, vol. 7(2), pages 141-168.
- Schmalensee, Richard, 1982.
"Product Differentiation Advantages of Pioneering Brands,"
American Economic Review,
American Economic Association, vol. 72(3), pages 349-365, June.
- Schmalensee, Richard., 1980. "Product differentiation advantages of pioneering brands," Working papers 1140-80., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Edward C. Prescott & Michael Visscher, 1977. "Sequential Location among Firms with Foresight," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 378-393, Autumn.
- Fader, Peter S. & Hardie, Bruce G. S., 2002. "A note on an integrated model of customer buying behavior," European Journal of Operational Research, Elsevier, vol. 139(3), pages 682-687, June.
- Mizrach, Bruce, 1992. "The distribution of the Theil U-statistic in bivariate normal populations," Economics Letters, Elsevier, vol. 38(2), pages 163-167, February.
- W.J. Lane, 1980. "Product Differentiation in a Market with Endogenous Sequential Entry," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 237-260, Spring.
- Mary W. Sullivan, 1992. "Brand Extensions: When to Use Them," Management Science, INFORMS, vol. 38(6), pages 793-806, June.
- Glazer, Amihai, 1985. "The Advantages of Being First," American Economic Review, American Economic Association, vol. 75(3), pages 473-480, June.
- Rajeev K. Tyagi, 2000. "Sequential Product Positioning Under Differential Costs," Management Science, INFORMS, vol. 46(7), pages 928-940, July.
- Jonathan D. Bohlmann & Peter N. Golder & Debanjan Mitra, 2002. "Deconstructing the Pioneer's Advantage: Examining Vintage Effects and Consumer Valuations of Quality and Variety," Management Science, INFORMS, vol. 48(9), pages 1175-1195, September.
- Agarwal, Rajshree & Gort, Michael, 1996. "The Evolution of Markets and Entry, Exit and Survival of Firms," The Review of Economics and Statistics, MIT Press, vol. 78(3), pages 489-498, August.
- Krugman, Paul, 1996. "Confronting the Mystery of Urban Hierarchy," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 399-418, December.
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