Game Theoretic Analysis of Pricing and Vertical Cooperative Advertising of a Retailer-Duopoly with a Common Manufacturer
Abstract
This paper considers competition of duopolistic retailers, who sell substitutable products supplied by a single manufacturer offering a vertical cooperative advertising program. The price-dependent component of the demand function is derived from the customers’ utility function in order to avoid logically inconsistent results. Additionally, each supply chain member can increase the costumers’ demand by advertising. By means of game theory, we get the following results: (a) Retail competition harms all players, but is beneficial to the customers. (b) Stronger competition is followed by less advertising. (c) Channel-leadership is not always advantageous to the manufacturer, and—likewise—retailers can also be better off when accepting followership.
Keywords
Supply Chain Wholesale Price Retail Price Price Decision Stackelberg GameNotes
Acknowledgements
A slightly modified version of this work is also published in Aust and Buscher (2014b): Game theoretic analysis of pricing and vertical cooperative advertising of a retailer-duopoly with a common manufacturer. In: Central European Journal of Operations Research. http://dx.doi.org/10.1007/s10100-014-0338-7
Bibliography
- Aust, G., & Buscher, U. (2012). Vertical cooperative advertising and pricing decisions in a manufacturer-retailer supply chain: A game-theoretic approach. European Journal of Operational Research, 223(2), 473–482.CrossRefGoogle Scholar
- Aust, G., & Buscher, U. (2014b). Game theoretic analysis of pricing and vertical cooperative advertising of a retailer-duopoly with a common manufacturer. Central European Journal of Operations Research.Google Scholar
- Bergen, M., & John, G. (1997). Understanding cooperative advertising participation rates in conventional channels. Journal of Marketing Research, 34(3), 357–369.CrossRefGoogle Scholar
- Berger, P. D. (1972). Vertical cooperative advertising ventures. Journal of Marketing Research, 9(3), 309–312.CrossRefGoogle Scholar
- Choi, S. C. (1991). Price competition in a channel structure with a common retailer. Marketing Science, 10(4), 271–296.CrossRefGoogle Scholar
- Choi, S. C. (1996). Price competition in a duopoly common retailer channel. Journal of Retailing, 72(2), 117–134.CrossRefGoogle Scholar
- Chutani, A., & Sethi, S. P. (2012b). Cooperative advertising in a dynamic retail market oligopoly. Dynamic Games and Applications, 2(4), 347–375.CrossRefGoogle Scholar
- Crimmins, E. C. (1984). Cooperative advertising. New York: Gene Wolfe & Co.Google Scholar
- Dutta, S., Bergen, M., John, G., & Rao, A. (1995). Variations in the contractual terms of cooperative advertising contracts: An empirical investigation. Marketing Letters, 6(1), 15–22.CrossRefGoogle Scholar
- Ghadimi, S., Szidarovszky, F., Farahani, R. Z., & Khiabani, A. Y. (2013). Coordination of advertising in supply chain management with cooperating manufacturer and retailers. IMA Journal of Management Mathematics, 24(1), 1–19.CrossRefGoogle Scholar
- He, X., Krishnamoorthy, A., Prasad, A., & Sethi, S. P. (2011). Retail competition and cooperative advertising. Operations Research Letters, 39(1), 11–16.CrossRefGoogle Scholar
- He, X., Krishnamoorthy, A., Prasad, A., & Sethi, S. P. (2012). Co-op advertising in dynamic retail oligopolies. Decision Sciences, 43(1), 73–106.CrossRefGoogle Scholar
- Huang, Z., & Li, S. X. (2001). Co-op advertising models in manufacturer-retailer supply chains: A game theory approach. European Journal of Operational Research, 135(3), 527–544.CrossRefGoogle Scholar
- Ingene, C. A., & Parry, M. E. (2004). Mathematical models of distribution channels. New York: Kluwer Academic Publishers.Google Scholar
- Ingene, C. A., & Parry, M. E. (2007). Bilateral monopoly, identical distributors, and game-theoretic analyses of distribution channels. Journal of the Academy of Marketing Science, 35(4), 586–602.CrossRefGoogle Scholar
- Karray, S., & Zaccour, G. (2006). Could co-op advertising be a manufacturer’s counterstrategy to store brands? Journal of Business Research, 59(9), 1008–1015.CrossRefGoogle Scholar
- Karray, S., & Zaccour, G. (2007). Effectiveness of coop advertising programs in competitive distribution channels. International Game Theory Review, 9(2), 151–167.CrossRefGoogle Scholar
- Kim, S. Y., & Staelin, R. (1999). Manufacturer allowances and retailer pass-through rates in a competitive environment. Marketing Science, 18(1), 59–76.CrossRefGoogle Scholar
- Nagler, M. (2006). An exploratory analysis of the determinants of cooperative advertising participation rates. Marketing Letters, 17(2), 91–102.CrossRefGoogle Scholar
- SeyedEsfahani, M. M., Biazaran, M., & Gharakhani, M. (2011). A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chains. European Journal of Operational Research, 211(2), 263–273.CrossRefGoogle Scholar
- Somers, T. M., Gupta, Y. P., & Harriot, S. R. (1990). Analysis of cooperative advertising expenditures: A transfer-function modeling approach. Journal of Advertising Research, 30(5), 35–49.Google Scholar
- Wang, S.-D., Zhou, Y.-W., Min, J., & Zhong, Y.-G. (2011). Coordination of cooperative advertising models in a one-manufacturer two-retailer supply chain system. Computers & Industrial Engineering, 61(4), 1053–1071.CrossRefGoogle Scholar
- Wu, C.-H., Chen, C.-W., & Hsieh, C.-C. (2012). Competitive pricing decisions in a two-echelon supply chain with horizontal and vertical competition. International Journal of Production Economics, 135(1), 265–274.CrossRefGoogle Scholar
- Xie, J., & Neyret, A. (2009). Co-op advertising and pricing models in manufacturer-retailer supply chains. Computers & Industrial Engineering, 56(4), 1375–1385,CrossRefGoogle Scholar
- Xie, J., & Wei, J. C. (2009). Coordinating advertising and pricing in a manufacturer-retailer channel. European Journal of Operational Research, 197(2), 785–791.CrossRefGoogle Scholar
- Yang, S.-L., & Zhou, Y.-W. (2006). Two-echelon supply chain models: Considering duopolistic retailers’ different competitive behaviors. International Journal of Production Economics, 103(1), 104–116.CrossRefGoogle Scholar
- Yue, J., Austin, J., Wang M.-C., & Huang, Z. (2006). Coordination of cooperative advertising in a two-level supply chain when manufacturer offers discount. European Journal of Operational Research, 168(1), 65–85.CrossRefGoogle Scholar
- Zhang, J., & Xie, J. (2012). A game theoretical study of cooperative advertising with multiple retailers in a distribution channel. Journal of Systems Science and Systems Engineering, 21(1), 37–55.CrossRefGoogle Scholar
- Zhang, R., Liu, B., & Wang, W. (2012). Pricing decisions in a dual channels system with different power structures. Economic Modelling, 29(2) 523–533.CrossRefGoogle Scholar
- Zhao, J., Tang, W., Zhao, R., & Wei, J. (2012b). Pricing decisions for substitutable products with a common retailer in fuzzy environments. European Journal of Operational Research, 216(2), 409–419.CrossRefGoogle Scholar