A game Theoretic Approach to Pricing, Advertising and Collection Decisions adjustment in a closed-loop supply chain

Document Type : Research Paper

Authors

Industrial Engineering Department, Shahed University, Tehran, Iran

Abstract

This paper considers advertising, collection and pricing decisions simultaneously for a closed-loop supplychain(CLSC) with one manufacturer(he) and two retailers(she). A multiplicatively separable new demand function is proposed which influenced by pricing and advertising. In this paper, three well-known scenarios in the game theory including the Nash, Stackelberg and Cooperative games are exploited to study the effects of pricing, advertising and collection decisions on the CLSC. Using these scenarios, we identify optimal decisions in each case for the manufacture and retailers. Extending the Manufacturer-Stackelbergscenario, we introduce the manufacturer’s risk-averse behavior in a leader–follower type move under asymmetric information, focusing specifically on how the risk-averse behavior of the manufacturer influences all of the optimal decisions and construct manufacturer-Stackelberg games in which each retailer has more information regarding the market size than the manufacturer and another retailer. Under the mean–variance decision framework, we develop a closed-loop supply chain model and obtain the optimal equilibrium results. In the situation of the stackelberg game, we find that whether utility of the manufacturer is better off or worse off depends on the manufacturer’s return rate and the degree of risk aversion under asymmetric and symmetric information structures. Numerical experiments compare the outcomes of decisions and profits among the mentioned games in order to study the application of the models.

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Basar, T., &Olsder, G. J. (1999). Dynamic noncooperative game theory (Vol. 23). Siam.
Berger, P. D. (1973). Statistical decision analysis of cooperative advertising ventures. Journal of the Operational Research Society, 24(2), 207-216.
Chintagunta, P. K., & Jain, D. (1992). A dynamic model of channel member strategies for marketing expenditures. Marketing Science, 11(2), 168-188.
Choi, T. M., Li, D., & Yan, H. (2008). Mean–variance analysis of a single supplier and retailer supply chain under a returns policy. European Journal of Operational Research, 184(1), 356-376.
Esmaeili, M., & Zeephongsekul, P. (2010). Seller–buyer models of supply chain management with an asymmetric information structure. International Journal of Production Economics, 123(1), 146-154.
Facchinei, F., & Kanzow, C. (2007). Generalized Nash equilibrium problems. 4OR, 5(3), 173-210.
Feng, Q., Lai, G., & Lu, L. X. (2015). Dynamic Bargaining in a Supply Chain with Asymmetric Demand Information (With Online Appendices).
Harsanyi, J. C. (1968). Games with incomplete information played by “Bayesian” players part II. Bayesian equilibrium points. Management Science, 14(5), 320-334.
 
Hong, X., Xu, L., Du, P., & Wang, W. (2015). Joint advertising, pricing and collection decisions in a closed-loop supply chain. International Journal of Production Economics, 167, 12-22.
 
Karray, S. (2015). Modeling brand advertising with heterogeneous consumer response: channel implications. Annals of Operations Research, 233(1), 181-199.
 
Lai, G., Xiao, W., & Yang, J. (2012). Supply chain performance under market valuation: An operational approach to restore efficiency. Management Science, 58(10), 1933-1951.
 
Lau, A. H. L., & Lau, H. S. (2005). Some two-echelon supply-chain games: Improving from deterministic-symmetric-information to stochastic-asymmetric-information models. European Journal of Operational Research, 161(1), 203-223.
 
Lau, H. S., & Lau, A. H. L. (1999). Manufacturer's pricing strategy and return policy for a single-period commodity. European Journal of Operational Research, 116(2), 291-304.
 
Lee, J. Y., & Ren, L. (2011). Vendor-managed inventory in a global environment with exchange rate uncertainty. International Journal of Production Economics, 130(2), 169-174.
 
Li, Z., Gilbert, S. M., & Lai, G. (2013). Supplier encroachment under asymmetric information. Management Science, 60(2), 449-462.
 
Markowitz, H. (1959). Portfolio selection: Efficient diversification of investments. Cowles Foundation monograph no. 16.
 
Meca, A., & Timmer, J. (2008). Supply chain collaboration (pp. 1-18). I-Tech Education and Publishing.
 
Savaskan, R. C., Bhattacharya, S., & Van Wassenhove, L. N. (2004). Closed-loop supply chain models with product remanufacturing. Management science, 50(2), 239-252
Slikker, M., & Van den Nouweland, A. (2012). Social and economic networks in cooperative game theory (Vol. 27). Springer Science & Business Media.
Tayur, S., Ganeshan, R., & Magazine, M. (Eds.). (2012). Quantitative models for supply chain management (Vol. 17). Springer Science & Business Media.
Tsay, A. A. (2002). Managing retail channel overstock: Markdown money and return policies. Journal of retailing, 77(4), 457-492.
 
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.
Xie, J., & Neyret, A. (2009). Co-op advertising and pricing models in manufacturer–retailer supply chains. Computers & Industrial Engineering, 56(4), 1375-1385.
Xu, G., Dan, B., Zhang, X., & Liu, C. (2014). Coordinating a dual-channel supply chain with risk-averse under a two-way revenue sharing contract. International Journal of Production Economics, 147, 171-179.
 
Yan, R. (2010). Cooperative advertising, pricing strategy and firm performance in the e-marketing age. Journal of the Academy of Marketing Science, 38(4), 510-519.
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.
Zhang, C. T., & Liu, L. P. (2013). Research on coordination mechanism in three-level green supply chain under non-cooperative game. Applied Mathematical Modelling, 37(5), 3369-3379.