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Advertising and Advertising Claims Over Time

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Optimal Control and Dynamic Games

Part of the book series: Advances in Computational Management Science ((AICM,volume 7))

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Abstract

Advertising budget allocation with carryover effects over time is a problem that was treated extensively by economists. Additional developments were carried out by Sethi who has also provided some outstanding review papers. The model treated by Sethi were essentially defined in terms of optimal control problems using deterministic advertising models while my own were essentially sales response stochastic models with advertising budget determined by stochastic control problems. These problems continue to be of academic and practical interest. Issues relating to the “advertising message” such as truthful claims advertising directed to first time buyers has not attracted much attention however.

The purpose of this paper is to address issues relating to advertising and their messages by suggesting a stochastic advertising-repeat purchase model. In this model, advertising directed to first time buyers is essentially defined by two factors: the advertising budget and the advertising message (such as statement regarding the characteristics of a product, its lifetime etc.). Consumers experience in case they buy the product will define the advertising message “reliability”, namely that the probability that advertised message are confirmed or not. Repeat purchasers, however, are influenced by two factors, on the one hand the advertising messages that are directed to experienced consumers and of course the effects of their own experience (where past advertising claims whether truthful, or not, interact with customers’ personal experience). Advertising claims that underestimate products characteristics might be “reliable” but then they might not entice first time purchasers, while overly optimistic advertising messages might entice first time purchasers but be perceived as unreliable by repeat purchasers who might switch to other competing brands. In this sense, the decision to advertise is necessarily appended by the decision to “what to advertise”, which may turn out to be far more important for a firm. This paper provides a theoretical approach to deal with this issue.

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References

  • Dorfman, R., Steiner, P.O. Optimal advertising and optimal quality. American Economic Review, 44, 826–36, 954.

    Google Scholar 

  • Ehrenberg A.S., Repeat Buying, Theory and Applications, Amsterdam-North Holland, 1972.

    Google Scholar 

  • El Ouardighi F. and C.S. Tapiero, Qualité et diffusion des produits, Recherche et Applications en Marketing, 11, no.4, 1996, pp. 35

    Google Scholar 

  • El Ouardighi F. and C.S. Tapiero, Modèles de diffusion en marketing Recherche et Applications en Marketing, December 1997

    Google Scholar 

  • El Ouardighi and C.S. Tapiero, Quality and the Diffusion of Innovations, European Journal of Operations Research, 106, 1998, 31–38

    Article  Google Scholar 

  • Farley J. and Tapiero C.S., “Optimum, Control of Sales Force Efforts Over Time”, Management Science, (with John U. Farley), 21, 1975, 976–985.

    Google Scholar 

  • Farley J. and C.S. Tapiero, “Using an Uncertainty Model to Assess Sales Response to Advertising, Decision Sciences, Vol. 12, 1981, pp. 441–455.

    Google Scholar 

  • Feichtinger, G., Saddle-point analysis in a price-advertising model. Journal of Economic Dynamics and Control, 4, 1982, 319–40.

    Article  Google Scholar 

  • Feichtinger, G., Hartl, R.F. and Sethi, S.P., “Dynamic Optimal Control Models in Advertising: Recent Developments,” Management Science, 40,2, Feb. 1994, 195–226.

    Google Scholar 

  • Feichtinger, G., Luhmer, A., Sorger, G. Optimal price and advertising policy for a convenience goods retailer. Marketing Science, 7, 1988, 187–201.

    Google Scholar 

  • Gould, J.P., Diffusion processes and optimal advertising policy. In: Phelps, E.S., et al., (Ed.), Microeconomic foundations of employment and inflation theory. Norton, New York. 1970

    Google Scholar 

  • Gross D. and C.M. Harris, Fundamentals of Queueing Theory, (2nd Edition), New York, Wiley, 1985

    Google Scholar 

  • Kotowitz, Y., Mathewson, F., Advertising, consumer information and product quality. Bell Journal of Economics, 10, 1979, 566–88.

    Google Scholar 

  • Lodish L.M., M. Abraham, S. Kalmenson, J. Livelsberger, B. Lubetkin, B. Richardson and M.E. Stevens, How T.V. Advertising Works: A Meta-Analysis of 389 Real World Split Cable T.V. Advertsing Experiments, Journal of Marketing Research, vol32, May, 1995, 125–139.

    Google Scholar 

  • Nelson, P., Information and consumer behavior. Journal of Political Economy, 78, 1970, 311–29.

    Article  Google Scholar 

  • Nelson, P., Advertising as information. Journal of Political Economy, 82, 1974, 729–54.

    Article  Google Scholar 

  • Nerlove, M., Arrow, K.J., Optimal advertising policy under dynamic conditions. Economica, 42, 1962, 129–142.

    Google Scholar 

  • Ozga, S., Imperfect markets through lack of knowledge. Quarterly Journal of Economics, 74, 1960, 29–52.

    Google Scholar 

  • Prasad, A. and Sethi, S.P., “Competitive Advertising under Uncertainty: Stochastic Differential Game Approach,” JOTA, 123,1, October 2004, in press. (abstract) (pre-publication pdf file)

    Google Scholar 

  • Schmalensee, R., The economics of advertising. North Holland, Amsterdam, 1972

    Google Scholar 

  • Schmittlein, D.G., Bemmaor, A.C., Morisson, D.G., Why does the NBD model work? Robustness in representing product purchases, brand purchases and imperfectly recorded purchases. Marketing Science, 4, 1985, 255–266.

    Google Scholar 

  • Sethi, S.P., Optimal Control of the Vidale-Wolfe Advertising Model, Operations Research, 21,4, 1973, 998–1013.

    Google Scholar 

  • Sethi, S.P., “Some Explanatory Remarks on Optimal Control for the Vidale-Wolfe Advertising Model,” Operations Research, 22,4, 1974, Sept.–Oct. 1119–1120.

    Google Scholar 

  • Sethi, S.P., “Optimal Control of a Logarithmic Advertising Model,” Operational Research Quarterly, 26,2(i), 1975, 317–319.

    Google Scholar 

  • Sethi, S.P., “Optimal Advertising for the Nerlove-Arrow Model Under a Budget Constraint,” Operational Research Quarterly, 28,3 (ii), 1977, 683–693.

    Google Scholar 

  • Sethi, S.P., Dynamic Optimal Control Models in Advertising: A Survey,” SIAM Review, 19,4, Oct. 1977, 685–725.

    Article  Google Scholar 

  • Sethi, S.P., Optimal Advertising Policy with the Contagion Model, Journal of Optimization Theory and Applications, 29,4, 1979, 615–627.

    Article  Google Scholar 

  • Sethi, S.P. and Lee, S.C., Optimal Advertising for the Nerlove-Arrow Model Under a Replenishable Budget, Optimal Control Applications & Methods, 2, 1981, 165–173.

    Google Scholar 

  • Sethi, S.P., Optimal Long-Run Equilibrium Advertising Level for the Blattberg-Jeuland Model, Management Science, 29,12, Dec. 1983, 1436–1443.

    Google Scholar 

  • Sethi, S.P., Deterministic and Stochastic Optimization of a Dynamic Advertising Model, Optimal Control Application and Methods, 4,2, 1983, 179–184.

    Google Scholar 

  • Tapiero C.S., Random Walk Models of Advertising, Their Diffusion Approximations and Hypothesis Testing”, Annals of Economics and Social Measurement, 4, 1975, 293–309.

    Google Scholar 

  • Tapiero C.S., On Line and Adaptive Optimum Advertising, Control by a Diffusion Approximation, Operations Research, 23, 1975, 890–907.

    Google Scholar 

  • Tapiero C.S., A Stochastic Model of Sales Response to Advertising, Metroeconomica, Vol. 29, 1977, pp. 159–167.

    Google Scholar 

  • Tapiero C.S., Optimal Advertising and Goodwill Under Uncertainty, Operations Research, Vol. 26, No. 3, May–June 1978, 450–463.

    Google Scholar 

  • Tapiero C.S., A Generalization of the Nerlove-Arrow Model to Multi Firms Advertising Under Uncertainty, Management Science, Sept., 25, 1979, 907–915.

    Google Scholar 

  • Tapiero, C.S., Optimal product quality and advertising. INFOR, 19, 1981, 311–318.

    Google Scholar 

  • Tapiero C.S., Modeling Stochastic Models of Advertising, Quartalshafte Girozentrale, I, 1982, pp. 63–78.

    Google Scholar 

  • Tapiero C.S., A Simple Stochastic Control Problem of Advertising, in G. Feichtinger (Editor) Optimal Control Theory and Economic Applications, North Holland, 1982

    Google Scholar 

  • Tapiero C.S., Stochastic Model of Consumer Behavior and Optimal Advertising, Management Science, vol. 28, Sept., 1982, 1054–1064

    Google Scholar 

  • Tapiero C.S. A Stochastic Diffusion Model with Advertising and Word-of-Mouth Effects, European Journal of Operations Research, 12, 1982, 348–356.

    Article  Google Scholar 

  • Tapiero C.S., The NBD repeat purchase process andM/G/Infinity queues, Int. J. of Production Economics, 63, 2000, 141–145

    Article  Google Scholar 

  • Tapiero C.S., J. Elyashberg and Y. Wind, Risk Behavior and Optimum Advertising with Stochastic Sales Response, Optimal Control: Applications and Methods, 1987.

    Google Scholar 

  • Vidale, M.L., Wolfe, H.B., An operations-research study of sales response to advertising. Operations Research, 5, 1957, 370–381.

    Google Scholar 

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Tapiero, C.S. (2005). Advertising and Advertising Claims Over Time. In: Deissenberg, C., Hartl, R.F. (eds) Optimal Control and Dynamic Games. Advances in Computational Management Science, vol 7. Springer, Boston, MA. https://doi.org/10.1007/0-387-25805-1_2

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