Determining Decision Variables for Manufacturer and Retailer in the Co-operative and Non-cooperative Environment: A Game Theory Approach

Document Type : Research Paper

Authors

1 Faculty of Institute of Business Management, GLA University, Mathura, India

2 Faculty of Mathematics, IILM CET AHL, Greater Noida, India

Abstract

Several inventory models were proposed for manufacturer and retailer which included competition and cooperation between manufacturer and retailer to maximize their profits. Esmaeili M et al. (2009) developed the relationship between manufacturer and Retailer for non co-operative and cooperative games. But the model did not involve any shortage cost as no shortage was allowed. In this paper researcher consider market demand is affected by marketing expenditure and price charged by retailer. This research, presented in this paper, allows shortages for the infinite planning horizon and investigates 1.The non co-operative game for manufacturer-Stackelberg model allowing shortage when manufacturer is the leader and would like to maximize his profit.2.retailer-stackelberg model when retailer is the leader and would like to maximize his profit.3.The co-operative game approach to obtain Pareto Efficient solution. Model is verified through some numerical examples.

Keywords

References

Abad, Prakash L., (1988). Determining the optimal selling price and the lot size when the supplier offers all-unit quantity discounts. Decision Sciences, Vol. 3 (19), pp. 622–634.
Abad, Prakash L., (1994). Supplier pricing and lot sizing when demand is price sensitive. European Journal of Operational Research, Vol. 78, pp. 334–354.
Abad, Prakash L., Jaggi, C.K., (2003). Joint approach for setting the unit price and the length of the credit period for a manufacturer when end demand is price sensitive. International Journal of Production Economics, Vol. 83, pp. 115–122.
Chiang, C.W., Fitzsimmons, J., Huang, Z., Li, Susan X., (1994). A game-theoretic approach to quantity discount problem. Decision Sciences, Vol. 25 (1), pp. 153–168.
Chan, Chi Kin, Kingsman, Brian G., (2007). Coordination in a single-vendor multi Retailer supply chain by synchronizing delivery and production cycles. Transportation Research (Part E), Vol. 43, pp. 90–111.
Corbett, C.J., de Groote, X., (2000). A supplier’s optimal quantity discount policy under asymmetric information. Management Science, Vol. 46 (3), pp. 444–450.
Dai, Tingling, Qi, Xiangtong, (2007). An acquisition policy for a multi-supplier system with a finite-time horizon. Computers and Operations Research, Vol. 34, pp. 2758–2773.
Freeland, J.R., (1982). Coordination strategies for production and marketing in a functionally decentralized firm. AIIE Transactions, Vol. 12, pp. 126–132.
Heuvel, Wilco van den, Borm, Peter, Hamers, Herbert, (2007). Economic lot-sizing games. European Journal of Operational Research, Vol. 176, pp. 1117–1130.
Huang, Zhimin, Li, Susan X., (2001). Coop advertising models in manufacturer retailer supply chains: A game theory. European Journal of Operational Research, Vol. 135, pp. 527–544
Jung, Hoon, Cerry, M. Klein, (2001). Optimal inventory policies under decreasing cost functions via geometric programming. European Journal of Operational Research, Vol. 132, pp. 628–642.
Jung, Hoon, Cerry, M. Klein, (2005). Optimal inventory policies for an economic order quantity model with decreasing cost functions. European Journal of Operational Research, Vol. 165 (1), pp. 108–126.
Kim, Daesoo, Lee, Woon J., (1998). Optimal joint pricing and lot sizing with fixed and variable capacity. European Journal of Operational Research, Vol. 109 (1), pp. 212–227.
Lee, Woon J., Kim, Daesoo, (1993). Optimal and heuristic decision strategies for integrated product and marketing planning. Decision Sciences, Vol. 24 (6), pp. 1203–1213
Lee, Woon J., Kim, Daesoo, (1998). Optimal coordination strategies for production and marketing decisions. Operations Research Letters, Vol. 22, pp. 41–47.
Lee, Woon J., Kim, Daesoo, Cabot, A. Victor, (1996). Optimal demand rate, lot sizing, and process reliability improvement decisions. IIE Transactions, Vol. 28, pp. 941–952.8.
Mir-Bahadur,M.Esmaeili, P.Zeephongsekul (2008) A game theory approach in manufacturer- Retailer   supply chain.
Sajadi, Seyed J., Orouge, Maryam, Aryanezhad, Mir B., (2005). Optimal production and marketing planning. Computational Optimization and Applications, Vol. 30 (2), pp. 195–203.
Sucky, Eric, (2006). A bargaining model with asymmetric information for a single supplier-single Retailer problem. Inventory management in supply chains: A bargaining problem. European Journal of Operational Research, Vol. 171, pp. 516–535.
Yue, Jinfeng, Austin, Jill, Wang, Min Chiang, Huang, Zhimin, (2006). Coordination of cooperative advertising in a two-level supply chain when manufacturer offers discount. European Journal of Operational Research Vol. 168 (1), pp. 65–85.
International Journal of Supply and Operations Management
Volume 7, Issue 2
May 2020
Pages 129-138

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