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Optimal Goodwill Model with Consumer Recommendations and Market Segmentation

Author

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  • Dominika Bogusz

    (University of Lodz, Faculty of Economics and Sociology)

  • Mariusz Gorajski

    (University of Lodz, Faculty of Economics and Sociology)

Abstract

We propose a new dynamic model of product goodwill where a product is sold in many market segments, and where the segments are indicated by the usage experience of consumers. The dynamics of product goodwill is described by a partial differential equation of the Lotka–Sharpe– McKendrick type. The main novelty of this model is that the product goodwill in a segment of new consumers depends not only on advertising effort, but also on consumer recommendations, for which we introduce a mathematical representation. We consider an optimal goodwill model where in each market segment the control variable is the company’s advertising efforts in order to maximize its profits. Using the maximum principle, we numerically find the optimal advertising strategies and corresponding optimal goodwill paths. The sensitivity of these solutions is analysed. We identify two types of optimal advertising campaign: ‘strengthening’ and ‘supportive’. They may assume different shapes and levels depending on the market segment. These experiments highlight the need for both researchers and managers to consider a segmented advertising policy

Suggested Citation

  • Dominika Bogusz & Mariusz Gorajski, 2014. "Optimal Goodwill Model with Consumer Recommendations and Market Segmentation," Lodz Economics Working Papers 1/2014, University of Lodz, Faculty of Economics and Sociology, revised Oct 2014.
  • Handle: RePEc:ann:wpaper:1/2014
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    References listed on IDEAS

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    1. Emilio Barucci & Fausto Gozzi, 2001. "Technology adoption and accumulation in a vintage-capital model," Journal of Economics, Springer, vol. 74(1), pages 1-38, February.
    2. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Capital accumulation under technological progress and learning: A vintage capital approach," European Journal of Operational Research, Elsevier, vol. 172(1), pages 293-310, July.
    3. Huang, Jian & Leng, Mingming & Liang, Liping, 2012. "Recent developments in dynamic advertising research," European Journal of Operational Research, Elsevier, vol. 220(3), pages 591-609.
    4. George E. Monahan, 1984. "Technical Note—A Pure Birth Model of Optimal Advertising with Word-of-Mouth," Marketing Science, INFORMS, vol. 3(2), pages 169-178.
    5. Nelson, Philip, 1974. "Advertising as Information," Journal of Political Economy, University of Chicago Press, vol. 82(4), pages 729-754, July/Aug..
    6. E. Barucci & F. Gozzi, 1999. "Optimal advertising with a continuum of goods," Annals of Operations Research, Springer, vol. 88(0), pages 15-29, January.
    7. David Godes & Dina Mayzlin, 2004. "Using Online Conversations to Study Word-of-Mouth Communication," Marketing Science, INFORMS, vol. 23(4), pages 545-560, June.
    8. Gustav Feichtinger & Richard F. Hartl & Suresh P. Sethi, 1994. "Dynamic Optimal Control Models in Advertising: Recent Developments," Management Science, INFORMS, vol. 40(2), pages 195-226, February.
    9. Brown, Jacqueline Johnson & Reingen, Peter H, 1987. "Social Ties and Word-of-Mouth Referral Behavior," Journal of Consumer Research, Oxford University Press, vol. 14(3), pages 350-362, December.
    10. repec:spr:compst:v:78:y:2013:i:2:p:259-284 is not listed on IDEAS
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    Keywords

    Optimal Control; applications; deterministic; advertising and media; product policy; segmentation;
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