This paper combines the newsboy problem with the cooperative advertisement problem in the presence of uncertain demand which depends on retail price as well as both local and national advertising expenditures to coordinate pricing, ordering, and advertising decisions in a manufacturer-retailer supply chain. A game theoretic approach is adopted to determine the equilibrium values of the decisions. Three different game scenarios based on the newsboy problem model are developed and analyzed: 1) Stackelberg manufacturer game in which manufacturer as the dominant power plays the role of leader in the market and the follower retailer makes its own best decisions after observing the leader decisions, 2) Nash game wherein both manufacturer and retailer have equal power in the market and make their decisions simultaneously to find their own best strategies and 3) centralized scenario in which retailer and manufacturer make the best decisions by information sharing and joint cooperation. The equilibrium decisions are obtained exactly in the three scenarios. Some corollaries are also presented and theoretically proved to show the relationships among the variables in centralized vs. decentralized supply chain. Finally, some numerical examples are randomly generated and a sensitivity analysis is carried out to show capabilities of the proposed models.
Dridi, D. and Ben Youssef, S. A game theoretic framework for competing/cooperating retailers under price and advertising dependent demand", Munich Personal RePEc Archive, available at: https://mpra.ub.unimuenchen. de/62705/ (2015). 2. Berger, P. Vertical cooperative advertising ventures", J. of Mark. Res., 9(3), pp. 309{312 (1972). 3. Aust, G. and Buscher, U. Cooperative advertising H. Ghashghaei and M. Mozafari/Scientia Iranica, Transactions E: Industrial Engineering 27 (2020) 3289{3304 3301 models in supply chain management: A review", Eur. J. of Oper. Res., 234(1), pp. 1{14 (2014). 4. Huang, Z. and Li, S.X. Co-op advertising models of manufacturer-retailer supply chains: A game theoretic approach", Eur. J. of Oper. Res., 135, pp. 527{544 (2001). 5. Xie, J. and Wei, J.C. Coordinating advertising and pricing in a manufacturer-retailer channel", Eur. J. of Oper. Res., 197, pp. 785{791 (2009). 6. Karray, S. and Amin, S.H. Cooperative advertising in a supply chain with retail competition", Int. J. of Prod. Res., 53(1), pp. 88{105 (2015). 7. Yan, R., Cao, Z., and Pei, Z. Manufacturer's cooperative advertising, demand uncertainty, and information sharing", J. of Bus. Res., 69(2), pp. 709{717 (2016). 8. J_rgensen, S. and Zaccour, G. A survey of gametheoretic models of cooperative advertising", Eur. J. of Oper. Res., 237(1), pp. 1{14 (2014). 9. Alirezaei, A. and Khoshalhan, F. Coordination of pricing and co-op advertising models in supply chain: A game theoretic approach", Int. J. of Ind. Eng. Comput., 5, pp. 23{40 (2014). 10. He, X., Prasad, A., and Sethi, S.P. Cooperative advertising and pricing in a dynamic stochastic supply chain: Feedback Stackelberg strategies", Prod. and Oper. Manag., 18, pp. 78{94 (2009). 11. Szmerekovsky, J.G. and Zhang, J. Pricing and twotier advertising with one manufacturer and one retailer", Eur. J. of Oper. Res., 192(3), pp. 904{917 (2009). 12. Xie, J. and Neyret, A. Computers & industrial engineering co-op advertising and pricing models in manufacturer - retailer supply chains", Comput. & Ind. Eng., 56(4), pp. 1375{1385 (2009). 13. Chen, T.H. E_ects of the pricing and cooperative advertising policies in a two-echelon dual-channel supply chain", Comput. & Ind. Eng., 87, pp. 250{259 (2015). 14. Seyed Esfahani, M.M., Biazaran, M., and Gharakhani, M. A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chains", Eur. J. of Oper. Res., 211, pp. 263{ 273 (2011). 15. Naimi Sadigh, A., Chaharsooghi, S.K., and Sheikhmohammady, M. Game-theoretic analysis of coordinating pricing and marketing decisions in a multi-product multi-echelon supply chain", Sci. Iran, 23(3), pp. 1459{1473 (2016). 16. Choi, S. Price competition in a channel structure with a common retailer", Mark. Sci., 10(4), pp. 271{296 (1991). 17. Aust, G. Vertical cooperative advertising and pricing decisions in a manufacturer-retailer supply chain: a game-theoretic approach", In Vertical Cooperative Advertising in Supply Chain Management, pp. 65{99, Springer International Publishing (2015). 18. Ke, H., Wu, Y., Huang, H., and Chen, Z. Pricing decision in a two-echelon supply chain with competing retailers under uncertain environment", J. of Uncertain. Anal. and Appl., 5(1), p. 5 (2017). DOI: 10.1186/s40467-017-0059-2 19. Naimi Sadigh, A., Karimi, B., and Zangirani Farahani, R. A game theoretic approach for two echelon supply chains with continuous depletion", Int. J. of Manag. Sci. and Eng. Manag., 6(6), pp. 408{412 (2011). 20. Amirtaheri, O., Zandieh, M., and Dorri, B. A bi-level programming model for decentralized manufacturerdistributer supply chain considering cooperative advertising", Sci. Iran., 25(2), pp. 891{910 (2017). 21. Zhou, Y-Wu, Li, J., and Zhong, Y. Cooperative advertising and ordering policies in a two-echelon supply chain with risk-averse agents", Omega, 75, pp. 97{117 (2018). 22. Petruzzi, N.C. and Dada, M. Pricing and the newsvendor problem: a review with extensions", Oper. Res., 47(2), pp. 183{194 (1999).
Ghashghaei, H., Mozafari, M. (2020). A game theoretic approach to coordination of pricing, ordering, and co-op advertising in supply chains with stochastic demand. Scientia Iranica, 27(6), 3289-3304. doi: 10.24200/sci.2019.51588.2264
MLA
H. Ghashghaei; M. Mozafari. "A game theoretic approach to coordination of pricing, ordering, and co-op advertising in supply chains with stochastic demand". Scientia Iranica, 27, 6, 2020, 3289-3304. doi: 10.24200/sci.2019.51588.2264
HARVARD
Ghashghaei, H., Mozafari, M. (2020). 'A game theoretic approach to coordination of pricing, ordering, and co-op advertising in supply chains with stochastic demand', Scientia Iranica, 27(6), pp. 3289-3304. doi: 10.24200/sci.2019.51588.2264
VANCOUVER
Ghashghaei, H., Mozafari, M. A game theoretic approach to coordination of pricing, ordering, and co-op advertising in supply chains with stochastic demand. Scientia Iranica, 2020; 27(6): 3289-3304. doi: 10.24200/sci.2019.51588.2264
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