The product life cycle of durable goods

Kaldasch, Joachim (2011): The product life cycle of durable goods. Published in: British Journal of Economics, Management & Trade , Vol. 2, No. 10 (11 September 2015): pp. 1-17.

Abstract

A dynamic model of the product lifecycle of (nearly) homogeneous durables in polypoly markets is established. It describes the concurrent evolution of the unit sales and price of durable goods. The theory is based on the idea that the sales dynamics is determined by a meeting process of demanded with supplied product units. Taking advantage from the Bass model for first purchase and a logistic model for repurchase the entire product lifecycle of a durable can be established. For the case of a fast growing supply the model suggests that the mean price of the good decreases according to a logistic law. Both, the established unit sales and price evolution are in agreement with the empirical data studied in this paper. The presented approach discusses further the interference of the diffusion process with the supply dynamics. The model predicts the occurrence of lost sales in the initial stages of the lifecycle due to supply constraints. They are the origin for a retarded market penetration. The theory suggests that the imitation rate B indicating social contagion in the Bass model has its maximum magnitude for the case of a large amount of available units at introduction and a fast output increase. The empirical data of the investigated samples are in qualitative agreement with this prediction.

• Item Type: MPRA Paper
• Language: English
• Keywords: Product Life Cycle, Consumer Durables, Product Diffusion, Bass Diffusion; Logistic Growth
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C50 - General; D - Microeconomics > D1 - Household Behavior and Family Economics > D11 - Consumer Economics: Theory; D - Microeconomics > D1 - Household Behavior and Family Economics > D12 - Consumer Economics: Empirical Analysis; D - Microeconomics > D4 - Market Structure, Pricing, and Design > D41 - Perfect Competition; M - Business Administration and Business Economics ; Marketing ; Accounting ; Personnel Economics > M0 - General; M - Business Administration and Business Economics ; Marketing ; Accounting ; Personnel Economics > M3 - Marketing and Advertising > M31 - Marketing

References

Chitale AK, Gupta R Product Policy and Brand Management. Prentice-Hall of India Pvt. Ltd.; 2010.

Rogers EM. Diffusion of Innovations. Simon and Schuster, New York; 2003.

Chandrasekaran D, Tellis GJ. A Critical Review of Marketing Research on Diffusion of New Products. Rev. Marketing Research. 2007; 3: 39-80.

Peres R, Muller E, Mahajan V. Innovation diffusion and new product growth models: A critical review and research directions. Int. J. of Research in Marketing. 2010: 27: 91-106.

Mahajan V, Muller E, Wind Y. New- Product Diffusion Models, Springer Verlag; 2000.

Ho T-H, Savin S, Terwiesch C. Managing Demand and Sales Dynamics in New Product Diffusion under Supply Constraint. Managing Science. 2002: 48: 187-206.

Hollensen S. Marketing Management. Pearson Education Ltd.; 2010.

Bass FM. A new product growth model for consumer durables. Management Science. 1969; 15: 215-227.

Feichtinger G. Optimal pricing in a diffusion model with nonlinear price dependent market potential. Operations Research Letters. 1982: 1: 236-240.

Bass FM, Krishnan TV, Jain D. Why the Bass Model fits without Decision Variables. Marketing Science. 1994: 13: 203-223.

Kaldasch J. Dynamic Model of Markets of Homogeneous Non-durables. British Journal of Economics, Management & Trade. 2015: 9: (3),1-12. Article no. BJEMT.19254.

Kaldasch J. Evolutionary Model of Stock Markets. Physica A. 2014 ; 415: 449-462.

Kaldasch J. Dynamic Model of the Price Dispersion of Homogeneous Goods. British Journal of Economics, Management & Trade. 2015: 8: Article no. BJEMT.2015.104.

Zhang W-B. Synergetic Economics. Springer Verlag Berlin; 1991.

Kaldasch J. Evolutionary model of an Anonymous Consumer Durable Market. Physica A. 2011; 390: 2692-2715.

Kaplan G, Menzio G. The Morphology of Price Dispersion. 2015: NBER Working Paper No. 19877.

Sapio S. An Empirically Based Model of the Supply Schedule in Day-Ahead Electricity Markets. LEM Working Paper Series. 2008; 13.

Harper R. Inside the Smart Home. Springer Verlag London; 2003.

Wang Z. Income Distribution, Market Size and the Evolution of Industry. Review of Economic Dynamics. 2007: 11: 542-565.

Coplan J. Diagnosing the DVD Disappointment: A life Cycle view. The Leonard N. Stern School of Business; 2006.

Available: http://w4.stem.nyu.edu/glucksman/docs/Coplan.pdf. Vanston LK. Practical Tips for Forecasting New Technology Adoption. Telektronikk. 2008: 3: 179-189.

Kalish S. A new product adoption model with price advertising and uncertainty. Marketing Science. 1985: 31:1569-1585.