In this study, to price a product that can be simultaneously sold in the e-tail and retail channels, a dual-channel supply chain is considered containing one manufacturer and multiple retailers. In this setting, the game-theoretic approach is applied to obtain the equilibrium prices To our best knowledge, the game-theoretic frameworks proposed to price the products in the dual-channel supply chain have considered a single retailer in the retail channel, while multiple retailers can exist in the retail channel in practice. It is assumed that the manufacturer and retailers have the same decision powers. First, the Nash game model is established to set the prices in decentralized model A centralized model is presented to maximize the profit of the whole system. Then, a coordination mechanism based on the linear quantity discount schedule is applied to fully coordinate the supply chain. Finally, the Nash bargaining model is used to share the extra profit given by the whole system cooperation among the members
Mots-clés : Supply chain management, dual-channel, pricing, economic, game theory
@article{RO_2017__51_4_1269_0, author = {Jafari, Hamed and Hejazi, Seyed Reza and Rasti\ensuremath{-}Barzoki, Morteza}, title = {Pricing decisions in dual-channel supply chain with one manufacturer and multiple retailers: {A} game-theoretic approach}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {1269--1287}, publisher = {EDP-Sciences}, volume = {51}, number = {4}, year = {2017}, doi = {10.1051/ro/2017003}, mrnumber = {3783944}, zbl = {1408.91079}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro/2017003/} }
TY - JOUR AU - Jafari, Hamed AU - Hejazi, Seyed Reza AU - Rasti−Barzoki, Morteza TI - Pricing decisions in dual-channel supply chain with one manufacturer and multiple retailers: A game-theoretic approach JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 1269 EP - 1287 VL - 51 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2017003/ DO - 10.1051/ro/2017003 LA - en ID - RO_2017__51_4_1269_0 ER -
%0 Journal Article %A Jafari, Hamed %A Hejazi, Seyed Reza %A Rasti−Barzoki, Morteza %T Pricing decisions in dual-channel supply chain with one manufacturer and multiple retailers: A game-theoretic approach %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 1269-1287 %V 51 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2017003/ %R 10.1051/ro/2017003 %G en %F RO_2017__51_4_1269_0
Jafari, Hamed; Hejazi, Seyed Reza; Rasti−Barzoki, Morteza. Pricing decisions in dual-channel supply chain with one manufacturer and multiple retailers: A game-theoretic approach. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 4, pp. 1269-1287. doi : 10.1051/ro/2017003. http://archive.numdam.org/articles/10.1051/ro/2017003/
Dual sales channel management with service competition. Manuf. Serv. Oper. Manag. 10 (2008) 654–675. | DOI
, and ,An analysis of supply chain decisions with asymmetrical retailers: effects of disruptions and static service cost on coordination mechanism. RAIRO: OR 46 (2012) 159–187. | DOI | Numdam | Zbl
, , , ,Contracting with asymmetric cost information in a dual-channel supply chain. Oper. Res. Lett. 41 (2014) 410–414. | DOI | MR | Zbl
, , and ,Competition and outsourcing with scale economies. Manag. Sci. 48 (2002) 1314–1333. | DOI | Zbl
and ,Game theoretical perspectives on dual-channel supply chain competition with price discounts and pricing schemes. Int. J. Prod. Econ. 117 (2009) 80–96. | DOI
, and ,Pricing policies for substitutable products in a supply chain with Internet and traditional channels. Eur. J. Oper. Res. 224 (2013) 542–551. | DOI | MR | Zbl
, and ,Implementing coordination contracts in a manufacturer Stackelberg dual-channel supply chain. Omega 40 (2012) 571–583. | DOI
, and ,Pricing policies in a dual-channel supply chain with retail services. Inter. J. Prod. Econ. 139 (2012) 312–320. | DOI
, and ,Pricing in revenue management for multiple firms competing for customers. Inter. J. Prod. Econ. 98 (2005) 1–16. | DOI
, , , ,A supply chain model with direct and retail channels. Eur. J. Oper. Res. 187 (2008) 691–718. | DOI | MR | Zbl
, , and ,Equilibrium analysis of supply chain structures under power imbalance. Eur. J. Oper. Res. 214 (2011) 568–578. | DOI | MR | Zbl
, and ,Strategic Pricing and Production Planning Using a Stackelberg Differential Game With Unknown Demand Parameters. IEEE Trans. Eng. Manag. 60 (2013) 581–591. | DOI
, , and ,Tolerance design optimization on cost–quality trade-off using the Shapley value method. J. Manuf. Syst. 22 (2010) 142–150. | DOI
, , and ,A re-evaluation of perfect competition as the solution to the Bertrand price game. Math. Soc. Sci. 17 (1989) 315–328. | DOI | MR | Zbl
,Price and lead time decisions in dual-channel supply chains. Eur. J. Oper. Res. 205 (2010) 113–126. | DOI | Zbl
, and ,Pricing and production decisions in a dual-channel supply chain when production costs are disrupted. Econ. Model. 30 (2013) 521–538. | DOI
, and ,Pricing and production decisions in dual-channel supply chains with demand disruptions. Comput. Ind. Eng. 62 (2012) 70–83. | DOI
, and ,C.A. Ingene and M.E. Parry, Channel coordination when retailers compete. Marketing Sci. 14 (1195) 360–377.
Computational algorithmic procedure for optimal inventory policy involving ordering cost reduction and back-order discounts when lead time demand is controllable. Appl. Math. Comput. 189 (2007) 186–200. | MR | Zbl
, and ,Joint decision on production and pricing for online dual channel supply chain system. Appl. Math. Model. 34 (2010) 4208–4218. | DOI | MR | Zbl
, and ,Optimal contract design for mixed channels under information asymmetry. Prod. Oper. Manag. 17 (2008) 641–650. | DOI
, and ,An exploratory study of the effects of supplier relationships on new product development outcomes. J. Oper. Manag. 20 (2002) 33–52. | DOI
and ,On the Evolutionary Dynamics of Supply Network Topologies. IEEE Trans. Eng. Manag. 54 (2007) 662–672 | DOI
, and ,Estimating the supply chain efficiency loss when the seller has to estimate the buyer’s willingness to pay. RAIRO: OR 48 (2014) 477–496. | DOI | Numdam | MR | Zbl
, .Sustainable development by waste recycling under a three-echelon supply chain: A game-theoretic approach. J. Cleaner Prod. 142 (2017) 2252–2261. | DOI
, and ,Equilibrium pricing and advertising strategies in a marketing channel. J. Optim. Theory Appl. 102 (1999) 111–125. | DOI | MR | Zbl
and ,Pricing Decisions in Dual-Channel Supply Chain Including Monopolistic Manufacturer and Duopolistic Retailers: A Game-Theoretic Approach. J. Ind. Competition Trade 16 (2016) 323–343. | DOI
, and ,Coordinating decisions by supply chain partners in a vendor-managed inventory relationship. J. Manufacturing Syst. 29 (2010) 71–80. | DOI
and ,Coordinating a Supply Chain With a Manufacturer-Owned Online Channel: A Dual Channel Model Under Price Competition. IEEE Trans. Eng. Manag. 60 (2013) 247–259. | DOI
, and ,Managing channel coordination in a multi-channel manufacturer-retailer supply chain. Ind. Marketing Manag. 40 (2011) 636–642. | DOI
,The bargaining problem. Econometrica: J. Econ. Soc. 18 (1950) 155–162. | DOI | MR | Zbl
,Value of information in remanufacturing complex products. IIE Trans. 36 (2004) 265–277. | DOI
and ,Two-echelon supply chain models: Considering duopolistic retailers’ different competitive behaviors. International J. Prod. Econ. 103 (2006) 104–116. | DOI
and ,Coordination of cooperative advertising models in a one-manufacturer two-retailer supply chain system. Comput. Ind. Eng. 61 (2011) 1053–1071. | DOI
, , and ,Closed-loop supply chain models with product remanufacturing. Manag. Sci. 50 (2004) 239–252. | DOI | Zbl
, and ,Reverse channel design: the case of competing retailers. Manag. Sci. 52 (2006) 1–14. | DOI | Zbl
and ,A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chains. Eur. J. Oper. Res. 211 (2011) 263–273. | DOI | MR | Zbl
, and ,H.W. Kuhn and A.W. Tucker, Nonlinear programming. University of California Press (1951). | MR | Zbl
Revenue-sharing versus wholesale price mechanisms under different channel power structures. Eur. J. Oper. Res. 203 (2010) 532–538. | DOI | Zbl
, , and ,Pricing decisions for complementary products with firms’ different market powers. Eur. J. Oper. Res. 224 (2013) 507–519. | DOI | MR | Zbl
, and ,Co-op advertising and pricing models in manufacturer-retailer supply chains. Comput. Ind. Eng. 56 (2009) 1375–1385. | DOI
and ,Optimal Variety and Pricing Decisions of a Supply Chain With Economies of Scope. IEEE Trans. Eng. Manag. 62 (2015) 411–420 | DOI
, and ,Competitive pricing of mixed retail and e-tail distribution channels. Omega 33 (2005) 235–247. | DOI
and ,Retail services and firm profit in a dual-channel market. J. Retailing Consumer Serv. 16 (2009) 306–314. | DOI
and ,Two Stage Procurement Processes With Competitive Suppliers and Uncertain Supplier Quality. IEEE Trans. Eng. Manag. 61 (2013) 147–158.
, and ,Competitive Market Selection With Timing and Capacity Decisions. IEEE Trans. Eng. Manag. 60 (2013) 88–98. | DOI
, and ,Cité par Sources :