網路科技與電子商務的發展促成企業雙通路供應鏈策略之運用，雙通路服務供應鏈亦為其中重要一環。本研究聚焦於雙期服務供應鏈系統中不同通路的動態定價策略，並考量服務產能利用率對於價格之影響。在本研究的模型框架中，價格與產能利用率影響通路的需求與廠商的獲利，提高利用率可以吸引更多顧客預訂服務，但同時亦增加運營成本。在非合作賽局架構下，本研究分別採用同步的納許賽局與非同步的 Stackelberg 賽局進行求解；而在合作賽局架構下，本研究採用Shapley值來決定利潤之分配。均衡解及數值分析指出，服務供應商和線上平臺可以透過合作而獲得更高的利潤，研究結論亦強調管理者需要更關注顧客的消費偏好與行為，特別是消費者跨通路和跨時間的價格敏感性，因為它們將顯著影響服務產能的最佳配置及系統的收益。

The development of Internet technology and the growth of e-business have enabled companies to utilize a dual-channel supply-chain strategy. This study investigates decisions in dynamic pricing and service capacity utilization in a dual-channel service supply chain (DCSSC) system over two periods. In particular, the formulation of the model entails that the demand of each channel is affected by the prices and capacity utilization of the previous and current periods. Increasing utilization can help the service provider to attract more customers to book the service but also raise operational costs. The model is developed and solved under simultaneous, sequential, and cooperative game frameworks by using vertical Nash (VN), Stackelberg leadership (SL), and cooperative game, respectively. The Shapley value solution concept is also used to determine the profit allocation in the cooperative game. Numerical analyses of the study show that the service provider and the online platform will achieve higher payoffs if they cooperate instead of engage in competition with each other. Furthermore, managers need to pay attention to the channel selection and switching behavior, which can significantly affect the payoffs, especially when the customer’s cross-channel and cross-time price sensitivity is high.

Ailawadi, K.L. and Farris, P.W. (2017), “Managing Multi- and Omni-Channel Distribution: Metrics and Research Directions”, Journal of Retailing, New York University, Vol. 93 No. 1, pp. 120–135.
Al-Hawari, M.A. (2018), “Online customer relationships: switching cost drivers for different relationship lengths”, Service Industries Journal, Taylor & Francis, Vol. 0 No. 0, pp. 1–22.
Al‐Nabhani, K., Wilson, A. and McLean, G. (2021), “Examining consumers’ continuous usage of multichannel retailers’ mobile applications”, Psychology & Marketing, Vol. 39 No. 1, p. mar.21585.
Azzolina, S., Razza, M., Sartiano, K. and Weitschek, E. (2021), “Price Discrimination in the Online Airline Market: An Empirical Study”, Journal of Theoretical and Applied Electronic Commerce Research, Vol. 16 No. 6, pp. 2282–2303.
Batarfi, R., Jaber, M.Y. and Glock, C.H. (2019), “Pricing and inventory decisions in a dual-channel supply chain with learning and forgetting”, Computers & Industrial Engineering, Elsevier, Vol. 136 No. July, pp. 397–420.
Battigalli, P. and Tebaldi, P. (2019), “Interactive epistemology in simple dynamic games with a continuum of strategies”, Economic Theory, Springer Berlin Heidelberg, Vol. 68 No. 3, pp. 737–763.
Bergel, M. and Brock, C. (2019), “Visitors’ loyalty and price perceptions: the role of customer engagement”, The Service Industries Journal, Taylor & Francis, Vol. 39 No. 7–8, pp. 575–589.
Bisceglia, M., Padilla, J. and Piccolo, S. (2021), “When prohibiting wholesale price-parity agreements may harm consumers”, International Journal of Industrial Organization, Elsevier B.V., Vol. 76, p. 102738.
Bittinger, M.L., Ellenbogen, D., Surgent, S.A. and Kramer, G.F. (2012), Calculus and Its Applications, 10th ed., Pearson Education, Boston.
Cachon, G.P., Daniels, K.M. and Lobel, R. (2019), “The Role of Surge Pricing on a Service Platform with Self-Scheduling Capacity”, Springer Series in Supply Chain Management, Vol. 6 No. February 2022, pp. 101–113.
Chandra, E. and Napitupulu, T.A. (2020), “Factors affecting purchase intention on TIX.ID mobile app”, Journal of Theoretical and Applied Information Technology, Vol. 98 No. 22, pp. 3518–3530.
Chang, Y.-W., Hsu, P.-Y. and Lan, Y.-C. (2019), “Cooperation and competition between online travel agencies and hotels”, Tourism Management, Elsevier, Vol. 71 No. August 2017, pp. 187–196.
Chen, L., Nan, G. and Li, M. (2018), “Wholesale Pricing or Agency Pricing on Online Retail Platforms: The Effects of Customer Loyalty”, International Journal of Electronic Commerce, Routledge, Vol. 22 No. 4, pp. 576–608.
Chen, S., Wang, X., Wu, Y. and Zhou, F. (2017), “Pricing policies of a dual-channel supply chain considering channel environmental sustainability”, Sustainability (Switzerland), Vol. 9 No. 3, pp. 1–14.
Damayanti, M., Scott, N. and Ruhanen, L. (2018), “Space for the informal tourism economy”, Service Industries Journal, Taylor & Francis, Vol. 38 No. 11–12, pp. 772–788.
Dempe, S. (2002), Foundations of Bilevel Programming, Springer Science & Business Media.
Ding, H., Guo, B. and Liu, Z. (2011), “Information sharing and profit allotment based on supply chain cooperation”, International Journal of Production Economics, Elsevier, Vol. 133 No. 1, pp. 70–79.
Elkind, E. and Rothe, J. (2016), “Cooperative Game Theory”, Economics and Computation, Springer, pp. 135–193.
Esmaeili, M. and Ghobadi, S.N. (2018), “A game theory model for pricing and supplier selection in a closed-loop supply chain”, International Journal of Procurement Management, Vol. 11 No. 4, pp. 472–494.
Fengqin, X., Qixuan, N. and Yu, H. (2018), “Inventory Strategy of Dual-Channel Supply Chain from Manufacturer’s Perspective”, International Journal of Management and Fuzzy Systems, Vol. 4 No. 2, p. 29.
Filieri, R., Raguseo, E. and Vitari, C. (2021), “Extremely Negative Ratings and Online Consumer Review Helpfulness: The Moderating Role of Product Quality Signals”, Journal of Travel Research, Vol. 60 No. 4, pp. 699–717.
Gan, S.-S., Pujawan, I.N., Suparno and Widodo, B. (2017), “Pricing decision for new and remanufactured product in a closed-loop supply chain with separate sales-channel”, International Journal of Production Economics, Elsevier B.V., Vol. 190, pp. 120–132.
Guo, J., Cao, B., Xie, W., Zhong, Y. and Zhou, Y.W. (2020), “Impacts of pre-sales service and delivery lead time on dual-channel supply chain design”, Computers and Industrial Engineering, Elsevier, Vol. 147 No. June, p. 106579.
Guo, J., Hao, H., Wang, M. and Liu, Z. (2022), “An empirical study on consumers’ willingness to buy agricultural products online and its influencing factors”, Journal of Cleaner Production, Elsevier Ltd, Vol. 336 No. January, p. 130403.
He, L., Liao, X., Zhang, Z.G. and Haug, P. (2016), “Analysis of online dual-channel supply chain based on service level of logistics and national advertising”, Quality Technology & Quantitative Management, Vol. 13 No. 4, pp. 473–490.
Heydari, J., Govindan, K. and Aslani, A. (2019), “Pricing and greening decisions in a three-tier dual channel supply chain”, International Journal of Production Economics, Elsevier B.V., Vol. 217 No. October 2017, pp. 185–196.
Hu, B., Liu, Z. and Fan, S. (2020), “A Study of the Mechanism of Government Intervention on Excess Capacity Through the Enterprise Overinvestment in China”, Global Journal of Emerging Market Economies, Vol. 12 No. 2, pp. 178–198.
Hung, H.C., Chung, C.Y., Wu, M.C. and Shen, W.L. (2017), “A membership pricing policy to facilitate service scale-expansion”, Service Industries Journal, Vol. 37 No. 3–4, pp. 167–189.
Ichiishi, T. (2014), Game Theory for Economic Analysis, Elsevier.
Jamali, M.B. and Rasti-Barzoki, M. (2022), “A game-theoretic approach for examining government support strategies and licensing contracts in an electricity supply chain with technology spillover: A case study of Iran”, Energy, Elsevier Ltd, Vol. 242, p. 122919.
Jeon, H.-M., Ali, F. and Lee, S.-W. (2019), “Determinants of consumers’ intentions to use smartphones apps for flight ticket bookings”, The Service Industries Journal, Taylor & Francis, Vol. 39 No. 5–6, pp. 385–402.
Jia, J., Chen, S. and Li, Z. (2019), “Dynamic pricing and time-to-market strategy in a service supply chain with online direct channels”, Computers & Industrial Engineering, Elsevier, Vol. 127 No. November 2018, pp. 901–913.
Kohlberg, E. (1990), “Refinement of Nash equilibrium: The main ideas”, in Ichiishi, T., Neyman, A. and Tauman, Y. (Eds.), Game Theory and Applications, Academic Press, San Diego, pp. 3–45.
Kort, P.M., Taboubi, S. and Zaccour, G. (2020), “Pricing decisions in marketing channels in the presence of optional contingent products”, Central European Journal of Operations Research, Springer Berlin Heidelberg, Vol. 28 No. 1, pp. 167–192.
Kythe, P.K. (2018), Elements of Concave Analysis and Applications, CRC Press, New Jersey.
Li, X., Li, K.J. and Wang, X. (2020), “Transparency of Behavior-Based Pricing”, Journal of Marketing Research, Vol. 57 No. 1, pp. 78–99.
Li, Z., Yada, K. and Zennyo, Y. (2021), “Duration of price promotion and product profit: An in-depth study based on point-of-sale data”, Journal of Retailing and Consumer Services, Elsevier Ltd, Vol. 58 No. July 2020, p. 102277.
Lin, S. and Januardi. (2022a), “Two‐stage pricing of perishable food supply chain with quality‐keeping and waste reduction efforts”, Managerial and Decision Economics, No. February, pp. 1–18.
Lin, S. and Januardi, J. (2022b), “Two-period pricing and utilization decisions in a dual-channel service-only supply chain”, Central European Journal of Operations Research, Springer Berlin Heidelberg, available at:https://doi.org/10.1007/s10100-022-00825-1.
Lin, S. and Januardi, J. (2023), “Willingness-to-pay experimental model for Stackelberg dual channel pricing decision”, International Journal of Retail & Distribution Management, Vol. 51 No. 1, pp. 103–123.
Lin, Y., Chen, A., Yin, Y., Li, Q., Zhu, Q. and Luo, J. (2021), “A framework for sustainable management of the platform service supply chain: An empirical study of the logistics sector in China”, International Journal of Production Economics, Elsevier B.V., Vol. 235 No. August 2020, p. 108112.
Liu, S., Gao, B., Gallivan, M. and Gong, Y. (2020), “Free add-on services and perceived value in competitive environments: Evidence from online hotel reviews”, International Journal of Hospitality Management, Elsevier, Vol. 90 No. July 2019, p. 102611.
Liu, W., Wang, D., Long, S., Shen, X. and Shi, V. (2019), “Service supply chain management: a behavioural operations perspective”, Modern Supply Chain Research and Applications, Vol. 1 No. 1, pp. 28–53.
Maiti, T. and Giri, B.C. (2017), “Two-period pricing and decision strategies in a two-echelon supply chain under price-dependent demand”, Applied Mathematical Modelling, Elsevier Inc., Vol. 42, pp. 655–674.
Matsui, K. (2021), “Power structure and profitability in a three-echelon supply chain facing stochastic demand”, Computers and Industrial Engineering, Elsevier Ltd, Vol. 160 No. January, p. 107246.
Mohan, N. and Kelle, P. (2019), “Managing a dual-channel supply chain under price and delivery-time dependent stochastic demand”, European Journal of Operational Research, Elsevier B.V., Vol. 272 No. 1, pp. 147–161.
Muzaffar, A., Deng, S. and Rashid, A. (2017), “Non-parametric optimal service pricing: a simulation study”, Quality Technology and Quantitative Management, Vol. 14 No. 2, pp. 142–155.
Narahari, Y., Garg, D., Narayanam, R. and Prakash, H. (2009), Game Theoretic Problems in Network Economics and Mechanism Design Solutions, Springer Science & Business Media.
Ng, I.C.L. (2009), “A demand‐based model for the advance and spot pricing of services”, edited by Maxwell, S.Journal of Product & Brand Management, Vol. 18 No. 7, pp. 517–528.
Perea, A. (2018), “Why forward induction leads to the backward induction outcome: A new proof for Battigalli’s theorem”, Games and Economic Behavior, Elsevier Inc., Vol. 110, pp. 120–138.
Quirós, C., Portela, J. and Marín, R. (2021), “Differentiated models in the collaborative transport economy: A mixture analysis for Blablacar and Uber”, Technology in Society, Vol. 67 No. September, p. 101727.
Sahling, F. and Hahn, G.J. (2019), “Dynamic lot sizing in biopharmaceutical manufacturing”, International Journal of Production Economics, Elsevier B.V., Vol. 207 No. November 2018, pp. 96–106.
Sann, R. and Lai, P.-C. (2020), “Understanding homophily of service failure within the hotel guest cycle: Applying NLP-aspect-based sentiment analysis to the hospitality industry”, International Journal of Hospitality Management, Elsevier Ltd, Vol. 91 No. August, p. 102678.
Sedayu, A. and Santoso, R.B. (2020), “Customer perspective by integrating Kano model and Quality Function Deployment method into Cinema XXI: A case study from Semarang City Indonesia”, Economics, Management and Sustainability, Vol. 5 No. 2, pp. 66–77.
Sha, J. and Zheng, S. (2021), “Revenue Distribution of Hybrid Channel Supply Chain Based on Modified Shapley Value with Cost”, Discrete Dynamics in Nature and Society, Vol. 2021, available at:https://doi.org/10.1155/2021/4405185.
Sharma, A. and Jain, D. (2019), “A game theoretic analysis of dual-channel supply chain with nash bargaining fairness concern”, Journal of Business & Industrial Marketing, Vol. 35 No. 2, pp. 244–259.
Solano-Sánchez, M.Á., Santos, J.A.C., Custódio Santos, M. and Fernández-Gámez, M.Á. (2021), “Holiday Rentals in Cultural Tourism Destinations: A Comparison of Booking.com-Based Daily Rate Estimation for Seville and Porto”, Economies, Vol. 9 No. 4, p. 157.
Sun, J. and Debo, L. (2014), “Sustaining long-term supply chain partnerships using price-only contracts”, European Journal of Operational Research, Elsevier B.V., Vol. 233 No. 3, pp. 557–565.
Tong, T., Dai, H., Xiao, Q. and Yan, N. (2020), “Will dynamic pricing outperform? Theoretical analysis and empirical evidence from O2O on-demand food service market”, International Journal of Production Economics, Elsevier B.V., Vol. 219 No. December 2018, pp. 375–385.
Véronneau, S., Roy, J. and Beaulieu, M. (2015), “Cruise ship suppliers: A field study of the supplier relationship characteristics in a service supply chain”, Tourism Management Perspectives, Elsevier B.V., Vol. 16, pp. 76–84.
Vitry, D.D.R. (2013), “Analisis Customer Experience Dan Lifestyle Model Terhadap Keputusan Menonton Film (Survei Terhadap Member Bioskop Blitzmegaplex Paris Van Java Bandung)”, Jurnal Ilmu Manajemen & Bisnis, Vol. 04 No. 01, pp. 1–11.
Wang, J., Zhao, M. and Zhao, G. (2017), “The impact of customer cognitive competence on online service decision-making: an event-related potentials perspective”, Service Industries Journal, Vol. 37 No. 5–6, pp. 363–380.
Wang, N., Fan, Z. and Zhao, X. (2020), “Coordination in competitive dual sales channels of the mobile phone industry”, International Transactions in Operational Research, Vol. 27 No. 2, pp. 984–1012.
Wang, Y., Wallace, S.W., Shen, B. and Choi, T.M. (2015), “Service supply chain management: A review of operational models”, European Journal of Operational Research, Elsevier Ltd., Vol. 247 No. 3, pp. 685–698.
Wei, C., Asian, S., Ertek, G. and Hu, Z.-H. (2020), “Location-based pricing and channel selection in a supply chain: a case study from the food retail industry”, Annals of Operations Research, Springer US, Vol. 291 No. 1–2, pp. 959–984.
Wu, C.H., Chen, C.W. and Hsieh, C.C. (2012), “Competitive pricing decisions in a two-echelon supply chain with horizontal and vertical competition”, International Journal of Production Economics, Elsevier, Vol. 135 No. 1, pp. 265–274.
Wu, D. (2011), “Joint pricing-servicing decision and channel strategies in the supply chain”, Central European Journal of Operations Research, Vol. 19 No. 1, pp. 99–137.
Wu, D., Chen, J., Li, P. and Zhang, R. (2020), “Contract coordination of dual channel reverse supply chain considering service level”, Journal of Cleaner Production, Vol. 260, available at:https://doi.org/10.1016/j.jclepro.2020.121071.
Xu, J. and Cao, L. (2019), “Optimal in-store inventory policy for omnichannel retailers in franchising networks”, International Journal of Retail & Distribution Management, Vol. 47 No. 12, pp. 1251–1265.
Yan, W., Zhou, H. and Li, H. (2021), “Decision and Coordination of Cross-Border E-Commerce Supply Chain: Based on Four Modes of Cooperation”, Scientific Programming, Vol. 2021, available at:https://doi.org/10.1155/2021/5561357.
Yang, H., Cao, E., Lu, K.J. and Zhang, G. (2017), “Optimal contract design for dual-channel supply chains under information asymmetry”, Journal of Business & Industrial Marketing, Vol. 32 No. 8, pp. 1087–1097.
Yang, J., Zhang, X., Huang, Y., Su, J., Tsai, S.-B., Chang, L.-C. and Wang, J. (2019), “Capacity Allocation and Compensation in a Dual-Channel Supply Chain under Uncertain Environment”, Mathematical Problems in Engineering, Vol. 2019, pp. 1–12.
Yu, Y., Sun, L. and Guo, X. (2020), “Dual-channel decision in a shopping complex when considering consumer channel preference”, Journal of the Operational Research Society, Taylor & Francis, Vol. 71 No. 10, pp. 1638–1656.
Zhang, C., Liu, Y. and Han, G. (2021), “Two-stage pricing strategies of a dual-channel supply chain considering public green preference”, Computers and Industrial Engineering, Elsevier Ltd, Vol. 151 No. November 2020, p. 106988.
Zhang, P.V., Kim, S. and Chakravarty, A. (2022), “Influence of pull marketing actions on marketing action effectiveness of multichannel firms: A meta-analysis”, Journal of the Academy of Marketing Science, Springer US, No. 0123456789, available at:https://doi.org/10.1007/s11747-022-00877-4.
Zhang, S., Pauwels, K. and Peng, C. (2019), “The Impact of Adding Online-to-Offline Service Platform Channels on Firms’ Offline and Total Sales and Profits”, Journal of Interactive Marketing, Marketing EDGE.org., Vol. 47, pp. 115–128.
Zhang, X., Manchanda, P. and Chu, J. (2021), “‘Meet Me Halfway’: The Costs and Benefits of Bargaining”, Marketing Science, Vol. 40 No. 6, pp. 1081–1105.
Zhao, J. (2020), “Will the community O2O service supply channel benefit the elderly healthcare service supply chain?”, Electronic Commerce Research, Springer US, No. 0123456789, available at:https://doi.org/10.1007/s10660-020-09425-0.