Considering customer lifetime network value in oligopoly markets with the use of game theory approach

Document Type : Article

Authors

Department of Industrial Engineering, Faculty of Engineering, Alzahra University, Tehran, Iran

Abstract

This research proposes a model that calculates the customer lifetime value and simultaneously considers the network effects. An oligopoly market is also considered in which companies compete with each other. Each company has a number of buyers and sellers and offers its services to the buyers free while receiving the sellers' membership fees in return. Interestingly, the customers interact with each other and change the companies' clients. This interaction between them is known as word-of-mouth marketing, and it also exists among the sellers. It is noteworthy that the existence of both buyers and sellers is only meaningful. Indeed, the increase of buyers leads to a rise in the number of sellers and also makes the company more profitable. In fact, the network effects are categorized into four forms that are as follows: (1) buyers’ effects on each other, (2) sellers’ effects on each other, (3) buyers’ effects on sellers, and (4) sellers’ effects on their buyers. These effects are the main factors that the companies tend to take into consideration when determining the optimal marketing and pricing policies. Applying differential game theory makes it possible to receive the companies' market share, advertising, and pricing strategy.

Keywords


References:
1. Kotler, P. “Marketing during periods of shortage”, Journal of Marketing, 38(3), pp. 20-29 (1974). https://doi.org/10.1177/002224297403800305.
2. Gupta, S., Lehmann, D.R. “Customers as assets”, Journal of Interactive Marketing, 17(1), pp. 9-24 (2003). https://doi.org/10.1002/dir.10045.
3. Gupta, S. and Zeithaml, V. “Customer metrics and their impact on financial performance”, Marketing Science, 25(6), pp. 718-739 (2006). https://doi.org/10.1287/mksc.1060.0221.
4. Reinartz, W., Thomas, J.S., and Kumar, V. “Balancing acquisition and retention resources to maximize customer profitability”, Journal of Marketing, 69(1), pp. 63-79 (2005). https://doi.org/10.1509/jmkg.69.1.63.55511.
5. Stahl, H.K., Matzler, K., and Hinterhuber, H.H. “Linking customer lifetime value with shareholder value” , Industrial Marketing Management, 32(4), pp.267-279 (2003). https://doi.org/10.1016/s0019-8501(02)00188-8.
6. Däs, M., Klier, J., Klier, M., et al. “Customer lifetime network value: customer valuation in the context of network effects”, Electronic Markets, 27(4), pp. 307-328 (2017). https://doi.org/10.1007/s12525-017-0255-4.
7. Krishnamoorthy, A., Prasad, A., and Sethi, S.P. “Optimal pricing and advertising in a durable-good duopoly”, European Journal of Operational Research, 200(2), pp. 486-497 (2010). https://doi.org/10.1016/j.ejor.2009.01.003.
8. Gupta, S., Hanssens, D., Hardie, B., et al. “Modeling customer lifetime value”, Journal of Service Research, 9(2), pp. 139-155 (2006). https://doi.org/10.1177/1094670506293810.
9. Cutler, M. and Sterne, J. “E-metrics: Business metrics for the new economy”, Whitepaper, NetGenesis Corp., Cambridge, MA (2000).
10. Bauer, H.H., Hammerschmidt, M., and Braehler, M. “The customer lifetime value concept and its contribution to corporate valuation”, Yearbook of Marketing and Consumer Research, 1(1), pp. 49-67 (2003). https://doi.org/10.2139/ssrn.961874.
11. Glady, N., Baesens, B. and Croux, C. “Modeling churn using customer lifetime value”, European Journal of Operational Research, 197(1), pp. 402-411 (2009). https://doi.org/10.1016/j.ejor.2008.06.027.
12. Kivrak, O. and Akar, C. “Effect of social media interactions on CLV in telecommunications”, International Journal of Information Technology & Decision Making, 19(02), pp. 447-468 (2020). https://doi.org/10.1142/s0219622020500030.
13. Paul, L. and Ramanan, T.R. “An RFM and CLV analysis for customer retention and customer relationship management of a logistics firm”, International Journal of Applied Management Science, 11(4), pp. 333-351 (2019). https://doi.org/10.1504/ijams.2019.103713.
14. Kasemsap, K. “Customer lifetime value”, Encyclopedia of Information Science and Technology, 4(IGI Global), pp. 1584-1593 (2018). https://doi.org/10.4018/978-1-5225-2255-3.ch137.
15. Monalisa, S., Nadya, P., and Novita, R. “Analysis for customer lifetime value categorization with RFM model”, Procedia Computer Science, 161, pp. 834-840 (2019). https://doi.org/10.1016/j.procs.2019.11.190.
16. Jasek, P., Vrana, L., Sperkova, L., et al. “Modeling and application of customer lifetime value in online retail”, Informatics, 5(Multidisciplinary Digital Publishing Institute, No. 1, p. 2 (2018). https://doi.org/10.3390/informatics5010002.
17. Fruchter, G.E. and Kalish, S. “Closed-loop advertising strategies in a duopoly”, Management Science, 43(1), pp. 54-63 (1997). https://doi.org/10.1287/mnsc.43.1.54.
18. Prasad, A., Sethi, S.P., and Naik, P.A. “Understanding the impact of churn in dynamic oligopoly markets”, Automatica, 48(11), pp. 2882-2887 (2012). https://doi.org/10.1016/j.automatica.2012.08.031.
19. .Blattberg, R.C. and Deighton, J. “Manage marketing by the customer equity test”, Harvard Business Review, 74(4), p. 136 (1996). https://doi.org/10.1142/9789814287067_0013.
20. Berger, P.D. and Nasr, N.I. “Customer lifetime value: Marketing models and applications”, Journal of Interactive Marketing, 12(1), pp. 17-30 (1998). https://doi.org/10.1002/(sici)1520-6653(199824)12:1<17::aid-dir3>3.0.co;2-k.
21. Hwang, H., Jung, T., and Suh, E. “An LTV model and customer segmentation based on customer value: a case study on the wireless telecommunication industry”, Expert Systems with Applications, 26(2), pp. 181-188 (2004). https://doi.org/10.1016/s0957-4174(03)00133-7.
22. Rust, R.T., Lemon, K.N., and Zeithaml, V.A. “Driving customer equity: Linking customer lifetime value to strategic marketing decisions”, Cambridge, MA: Marketing Science Institute, 108 (2001). https://doi.org/10.4135/9781412973380.n28.
23. Blattberg, R. “Customer equity: Building and managing relationships as valuable Assets” (Ценность клиентуры: создание и управление взаимоотношениями с клиентами как ценный актив) (2001).
24. Hogan, J.E., Lemon, K.N., and Libai, B. “What is the true value of a lost customer?”, Journal of Service Research, 5(3), pp. 196-208 (2003). https://doi.org/10.1177/1094670502238915.
25. Fader, P.S., Hardie, B.G., and Lee, K.L. “Counting your customers the easy way: An alternative to the Pareto/NBD model”, Marketing Science, 24(2), pp. 275-284 (2005). https://doi.org/10.1287/mksc.1040.0098.
26. Kim, S.Y., Jung, T.S., Suh, E.H., et al. “Customer segmentation and strategy development based on customer lifetime value: A case study”, Expert Systems with Applications, 31(1), pp. 101-107 (2006). https://doi.org/10.1016/j.eswa.2005.09.004.
27. Haenlein, M., Kaplan, A.M., and Beeser, A.J. “A model to determine customer lifetime value in a retail banking context”, European Management Journal, 25(3), pp. 221-234 (2007). https://doi.org/10.1016/j.emj.2007.01.004.
28. Yeh, I.C., Yang, K.J., and Ting, T.M. “Knowledge discovery on RFM model using Bernoulli sequence”, Expert Systems with Applications, 36(3), pp. 5866-5871 (2009). https://doi.org/10.1016/j.eswa.2008.07.018.
29. Klier, J., Klier, M., Probst, F., et al. “December. Customer Lifetime Network Value”, ICIS (2014). https://doi.org/10.1007/s12525-017-0255-4.
30. Grossmann, M., Brock, C., Reimer, T., et al. “The relevance of positive word-of-mouth effects on the customer lifetime value-A replication and extension in the context of start-ups”, SMR-Journal of Service Management Research, 3(3), pp. 148-160 (2019). https://doi.org/10.15358/2511-8676-2019-3-148.
31. Dockner, E.J. and Jørgensen, S. “New product advertising in dynamic oligopolies”, Zeitschrift für Operations Research, 36(5), pp. 459-473 (1992). https://doi.org/10.1007/bf01415762.
32. Teng, J.T. and Thompson, G.L. “Oligopoly models for optimal advertising when production costs obey a learning curve”, Management Science, 29(9), pp. 1087-1101 (1983). https://doi.org/10.1287/mnsc.29.9.1087.
33. Fershtman, C. and Muller, E. “Capital accumulation games of infinite duration”, Journal of Economic Theory, 33(2), pp. 322-339 (1984). https://doi.org/10.1016/0022-0531(84)90094-2.
34. Erickson, G.M. “Differential game models of advertising competition”, European Journal of Operational Research, 83(3), pp. 431-438 (1995). https://doi.org/10.1016/0377-2217(94)00232-2.
35. Sethi, S.P., Prasad, A., and He, X. “Optimal advertising and pricing in a new-product adoption model”, Journal of Optimization Theory and Applications, 139(2), pp. 351-360 (2008). https://doi.org/10.1007/s10957-008-9472-5.
36. Erickson, G.M. “A differential game model of the marketing-operations interface”, European Journal of Operational Research, 211(2), pp. 394-402 (2011). https://doi.org/10.1016/j.ejor.2010.11.016.
Volume 31, Issue 22
Transactions on Industrial Engineering (E)
November and December 2024
Pages 2112-2127
  • Receive Date: 05 July 2020
  • Revise Date: 22 September 2021
  • Accept Date: 05 February 2023