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Wholesale pricing and evolutionary stable strategies of retailers under network externality

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  • Yi, Yuyin
  • Yang, Haishen

Abstract

This study aims to investigate the mechanism of influence between the strategic choice of the marketing objective of retailers and the wholesale pricing of the manufacturer in a market with network externality by developing an evolutionary game model for a one-population of retailers and an optimisation decision model of the wholesale pricing of the manufacturer. Using these models we analyse the influence of network externality on the evolutionary stable strategy (ESS) of the retailers’ marketing objectives, the wholesale pricing of the manufacturer, and the profits of nodal enterprises. The results show that the strength of network externality affects the decisions of the manufacturer with regard to wholesale pricing, thereby influencing the evolution of the marketing objectives of retailers. When the strength of network externality is found to be low, the manufacturer is supposed to set a high wholesale price to prompt retailers to take a profit maximisation strategy (P strategy). When the strength of network externality is moderate, a moderate wholesale price would be set by the manufacturer. Under this condition, the marketing objective of retailers is evolved to stable co-existence of profit, and revenue, maximisation. While when network externality exhibits a high strength, the manufacturer is expected to set a low wholesale price and therefore retailers change the marketing objective to revenue maximisation strategy (R strategy). When the market position of retailers is low, increasing network externality cannot generate more profits. On the contrary, affected by the decisions of the manufacturer with regards to wholesale pricing, retailers lose more profits, while the profit of the manufacturer increases. With the improvement of the bargaining power of retailers, the wholesale price and profit of the manufacturer decrease; however, a large network externality can make up a part of the profit losses of the manufacturer caused by the improved bargaining power of retailers.

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  • Yi, Yuyin & Yang, Haishen, 2017. "Wholesale pricing and evolutionary stable strategies of retailers under network externality," European Journal of Operational Research, Elsevier, vol. 259(1), pages 37-47.
    • Handle: RePEc:eee:ejores:v:259:y:2017:i:1:p:37-47
    DOI: 10.1016/j.ejor.2016.09.014
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    1. Baake, Pio & Boom, Anette, 2001. "Vertical product differentiation, network externalities, and compatibility decisions," International Journal of Industrial Organization, Elsevier, vol. 19(1-2), pages 267-284, January.
    2. Chirco, Alessandra & Scrimitore, Marcella, 2013. "Choosing price or quantity? The role of delegation and network externalities," Economics Letters, Elsevier, vol. 121(3), pages 482-486.
    3. Pal, Rupayan, 2015. "Cournot vs. Bertrand under relative performance delegation: Implications of positive and negative network externalities," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 94-101.
    4. Michael L. Katz, 1991. "Game-Playing Agents: Unobservable Contracts as Precommitments," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 307-328, Autumn.
    5. De Donder, Philippe & Roemer, John E., 2009. "Mixed oligopoly equilibria when firms' objectives are endogenous," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 414-423, May.
    6. Barros, Fatima, 1995. "Incentive schemes as strategic variables: An application to a mixed duopoly," International Journal of Industrial Organization, Elsevier, vol. 13(3), pages 373-386, September.
    7. Xiao, Tiaojun & Chen, Guohua, 2009. "Wholesale pricing and evolutionarily stable strategies of retailers with imperfectly observable objective," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1190-1201, August.
    8. Liu, Zhiyong & Li, Minqiang & Kou, Jisong, 2015. "Selling information products: Sale channel selection and versioning strategy with network externality," International Journal of Production Economics, Elsevier, vol. 166(C), pages 1-10.
    9. Robin Marris, 1963. "A Model of the "Managerial" Enterprise," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 77(2), pages 185-209.
    10. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    11. Bester, Helmut & Guth, Werner, 1998. "Is altruism evolutionarily stable?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 193-209, February.
    12. Ashutosh Prasad & R. Venkatesh & Vijay Mahajan, 2010. "Optimal Bundling of Technological Products with Network Externality," Management Science, INFORMS, vol. 56(12), pages 2224-2236, December.
    13. Hajji, Adnéne & Pellerin, Robert & Léger, Pierre-Majorique & Gharbi, Ali & Babin, Gilbert, 2012. "Dynamic pricing models for ERP systems under network externality," International Journal of Production Economics, Elsevier, vol. 135(2), pages 708-715.
    14. Yang, Shilei & Shi, Chunming (Victor) & Zhang, Yibin & Zhu, Jing, 2014. "Price competition for retailers with profit and revenue targets," International Journal of Production Economics, Elsevier, vol. 154(C), pages 233-242.
    15. Hoernig, Steffen, 2012. "Strategic delegation under price competition and network effects," Economics Letters, Elsevier, vol. 117(2), pages 487-489.
    16. Xiao, Tiaojun & Yu, Gang, 2006. "Supply chain disruption management and evolutionarily stable strategies of retailers in the quantity-setting duopoly situation with homogeneous goods," European Journal of Operational Research, Elsevier, vol. 173(2), pages 648-668, September.
    Full references (including those not matched with items on IDEAS)

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