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Implications of stochastic demand and manufacturers’ operational mode on retailer’s mixed bundling strategy and its complexity analysis. (English) Zbl 1480.90072

Summary: In this paper, we consider a supply chain consisting of two manufacturers and one retailer producing and retailing complementary products facing stochastic demand. We focus on the retailer’s bundling strategy and investigate the impact of the stochastic demand and manufacturers’ decisions on the bundling strategy. We find that the manufacturers will make cooperative game to maximize their profits. With manufacturers’ cooperative pricing strategy, the retailer will adopt bundling strategy facing a low level uncertain demand. Under severe uncertainty, the retailer will adopt no-bundling strategy to obtain more profits. We work out the critical condition which determines the retailer’s retail strategy. We also analyze the stability of the dynamic game system in which the retailer adopts bundling and no-bundling strategy and find that the system in which the retailer adopts no-bundling strategy has a better performance on keeping stability, although the market is more uncertain. Finally, we provide managerial insights for the manufacturers to keep system stable and control the unstable system.

MSC:

90B06 Transportation, logistics and supply chain management
91B42 Consumer behavior, demand theory
Full Text: DOI

References:

[1] Bhargava, H. K., Mixed bundling of two independently valued goods, Manag. Sci., 59, 9, 2170-2185 (2013)
[2] Yan, R.; Bandyopadhyay, S., The profit benefits of bundle pricing of complementary products, J. Retail. Consum. Serv., 18, 4, 355-361 (2011)
[3] Yan, R., Bundling products to success: the influence of complementarity and advertising, J. Retail. Consum. Serv., 21, 1, 48-53 (2014)
[4] Taleizadeh, A. A.; Charmchi, M., Optimal advertising and pricing decisions for complementary products, J. Indust. Eng. Int., 11, 1, 111-117 (2015)
[5] William, J. A.; Yellen, J. L., Commodity bundling and the burden of monopoly, Q. J. Econ., 90, 3 (1976)
[6] Bitran, G. R.; Ferrer, J., On pricing and composition of bundles, Product. Oper. Manag., 16, 1, 93-108 (2007)
[7] McCardle, K. F.; Rajaram, K.; Tang, C. S., Bundling retail products: models and analysis, Eur. J. Oper. Res., 177, 2, 1197-1217 (2007) · Zbl 1109.90008
[8] Banciu, M.; Gal-Or, E.; Mirchandani, P., Bundling strategy when products are vertically differentiated and capacities are limited, Manag. Sci., 56, 12, 2207-2223 (2010) · Zbl 1232.91239
[9] Prasad, A.; Venkatesh, R.; Mahajan, V., Optimal bundling of technological products with network externality, Manag. Sci., 56, 12, 2224-2236 (2010) · Zbl 1232.91260
[10] Yang, B.; Ng, C. T., Pricing problem in wireless telecommunication product and service bundling, Eur. J. Oper. Res., 207, 1, 473-480 (2010) · Zbl 1205.90168
[11] Chen, X.; Wang, X., Free or bundled: channel selection decisions under different power structures, Omega, 53, 11-20 (2015)
[12] Bakos, Y.; Brynjolfsson, E., Bundling information goods: pricing, profits, and efficiency, Manag. Sci., 45, 12, 1613-1630 (1999) · Zbl 1231.91296
[13] Geng, X.; Stinchcombe, M. B.; Whinston, A. B., Bundling information goods of decreasing value, Manag. Sci., 51, 4, 662-667 (2005)
[14] Hui, W., Sell by bundle or unit?: pure bundling versus mixed bundling of information goods, Decis. Support Syst., 53, 3, 517-525 (2012)
[15] Tang, C. S., Perspectives in supply chain risk management, Int. J. Product. Econ., 103, 2, 451-488 (2006)
[16] Subrahmanyan, S.; Shoemaker, R., Developing optimal pricing and inventory policies for retailers who face uncertain demand, J.Retail., 72, 1, 7-30 (1996)
[17] Wang, Y., Joint pricing-production decisions in supply chains of complementary products with uncertain demand, Oper. Res., 54, 6, 1110-1127 (2006) · Zbl 1167.90360
[18] Khouja, M., The single-period (news-vendor) problem: literature review and suggestions for future research, Omega, 27, 5, 537-553 (1999)
[19] Petruzzi, N. C.; Dada, M., Pricing and the newsvendor problem: a review with extensions, Oper. Res., 47, 2, 183-194 (1999) · Zbl 1005.90546
[20] Gupta, S.; Loulou, R., Process innovation, product differentiation, and channel structure: strategic incentives in a duopoly, Market. Sci., 17, 4, 301-316 (1998)
[21] Yan, R.; Bandyopadhyay, S., The profit benefits of bundle pricing of complementary products, J.Retail. Consum. Serv., 18, 4, 355-361 (2011)
[22] Ma, J.; Xie, L., Study on the complexity pricing game and coordination of the duopoly air conditioner market with disturbance demand, Commun. Nonlinear Sci. Numer. Simul., 32, 99-113 (2016) · Zbl 1510.91078
[23] David, A.; Adida, E., Competition and coordination in a two-channel supply chain, Product. Oper. Manag., 24, 8, 1358-1370 (2015)
[24] Chiarella, C.; He, X., Heterogeneous beliefs, risk and learning in a simple asset pricing model, Comput. Econ., 19, 1, 95-132 (2002) · Zbl 0999.91020
[25] Wu, Y.; Zhang, D. Z., Demand fluctuation and chaotic behaviour by interaction between customers and suppliers, Int. J. Product. Econ., 107, 1, 250-259 (2007)
[26] Guo, Y.; Ma, J., Research on game model and complexity of retailer collecting and selling in closed-loop supply chain, Appl. Math. Model., 37, 7, 5047-5058 (2013) · Zbl 1426.90043
[27] Ma, J.; Wang, H., Complexity analysis of dynamic noncooperative game models for closed-loop supply chain with product recovery, Appl. Math. Model., 38, 23, 5562-5572 (2014) · Zbl 1428.90026
[28] Hwarng, H. B.; Xie, N., Understanding supply chain dynamics: a chaos perspective, Eur. J. Oper. Res., 184, 3, 1163-1178 (2008) · Zbl 1141.90444
[29] Xu, H. T.; Zhang, C-K; Jiang, L.; Smith, J., Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional, Appl. Math. Model., 45, 955-964 (2017) · Zbl 1446.93065
[30] Ma, J.; Xie, L., The comparison and complex analysis on dual-channel supply chain under different channel power structures and uncertain demand, Nonlinear Dyn., 83, 3, 1379-1393 (2016) · Zbl 1351.90029
[31] Chiarella, C.; Dieci, R.; Gardini, L., Speculative behaviour and complex asset price dynamics: a global analysis, J. Econ.Behav. Org., 49, 2, 173-197 (2002)
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