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Research on Advertising and Quality of Paid Apps, Considering the Effects of Reference Price and Goodwill

Author

Listed:
  • Haoyu Liu

    (School of International Trade and Economics, University of International Business and Economics, Beijing 100029, China)

  • Shulin Liu

    (School of International Trade and Economics, University of International Business and Economics, Beijing 100029, China)

Abstract

Considering users’ perceptions can help managers develop more accurate business strategies. Utilizing optimal control theory, this paper takes the reference price and goodwill of paid App as the state variables to analyze the paid App’s optimal product quality and the platform’s optimal advertising effort with the revenue-sharing contract in the decentralized and integrated systems, respectively. Results show that: (1) The higher the users’ loyalty, the higher the reference price, while for the users who lack loyalty, the impact of reference price can be ignored. (2) When the revenue-sharing rate is equal to or more than 2/3, the paid App is unwilling to bear any advertising costs for the platform. (3) We propose a bilateral subsidy agreement to coordinate the decentralized system smoothly and implement the optimal objective of the integrated system. (4) Importantly, under some mild conditions, we prove that the platform and paid App can both benefit from the agreement.

Suggested Citation

  • Haoyu Liu & Shulin Liu, 2020. "Research on Advertising and Quality of Paid Apps, Considering the Effects of Reference Price and Goodwill," Mathematics, MDPI, vol. 8(5), pages 1-23, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:733-:d:354704
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    References listed on IDEAS

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    1. Avinadav, Tal & Chernonog, Tatyana & Perlman, Yael, 2015. "The effect of risk sensitivity on a supply chain of mobile applications under a consignment contract with revenue sharing and quality investment," International Journal of Production Economics, Elsevier, vol. 168(C), pages 31-40.
    2. Jean‐Charles Rochet & Jean Tirole, 2006. "Two‐sided markets: a progress report," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 645-667, September.
    3. Zhang, Juan & Gou, Qinglong & Liang, Liang & Huang, Zhimin, 2013. "Supply chain coordination through cooperative advertising with reference price effect," Omega, Elsevier, vol. 41(2), pages 345-353.
    4. El Ouardighi, Fouad & Pasin, Federico, 2006. "Quality improvement and goodwill accumulation in a dynamic duopoly," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1021-1032, December.
    5. Hong Guo & Xuying Zhao & Lin Hao & De Liu, 2019. "Economic Analysis of Reward Advertising," Production and Operations Management, Production and Operations Management Society, vol. 28(10), pages 2413-2430, October.
    6. Salma Karray & Chirag Surti, 2016. "Channel coordination with quantity discounts and/or cooperative advertising," International Journal of Production Research, Taylor & Francis Journals, vol. 54(17), pages 5317-5335, September.
    7. Zhiying Tao & Qinglong Gou & Juzhi Zhang, 2020. "A local seller's app channel strategy concerning delivery," International Journal of Production Research, Taylor & Francis Journals, vol. 58(1), pages 220-255, January.
    8. Sheu, Jiuh-Biing, 2011. "Marketing-driven channel coordination with revenue-sharing contracts under price promotion to end-customers," European Journal of Operational Research, Elsevier, vol. 214(2), pages 246-255, October.
    9. Martín-Herrán, Guiomar & Taboubi, Sihem & Zaccour, Georges, 2012. "Dual role of price and myopia in a marketing channel," European Journal of Operational Research, Elsevier, vol. 219(2), pages 284-295.
    10. Qin, Yiyan & Tang, Huanwen & Guo, Chonghui, 2007. "Channel coordination and volume discounts with price-sensitive demand," International Journal of Production Economics, Elsevier, vol. 105(1), pages 43-53, January.
    11. Ling Xue & Peijian Song & Arun Rai & Cheng Zhang & Xia Zhao, 2019. "Implications of Application Programming Interfaces for Third‐Party New App Development and Copycatting," Production and Operations Management, Production and Operations Management Society, vol. 28(8), pages 1887-1902, August.
    12. Jorgensen, Steffen & Zaccour, Georges, 2003. "Channel coordination over time: incentive equilibria and credibility," Journal of Economic Dynamics and Control, Elsevier, vol. 27(5), pages 801-822, March.
    13. Avinadav, Tal & Chernonog, Tatyana & Perlman, Yael, 2015. "Consignment contract for mobile apps between a single retailer and competitive developers with different risk attitudes," European Journal of Operational Research, Elsevier, vol. 246(3), pages 949-957.
    14. Nair, Anand & Narasimhan, Ram, 2006. "Dynamics of competing with quality- and advertising-based goodwill," European Journal of Operational Research, Elsevier, vol. 175(1), pages 462-474, November.
    15. Chen, Yuwen & Ni, John & Yu, Degan, 2019. "Application developers’ product offering strategies in multi-platform markets," European Journal of Operational Research, Elsevier, vol. 273(1), pages 320-333.
    16. Lin Hao & Hong Guo & Robert F. Easley, 2017. "A Mobile Platform's In‐App Advertising Contract Under Agency Pricing for App Sales," Production and Operations Management, Production and Operations Management Society, vol. 26(2), pages 189-202, February.
    17. Yonghua Ji & Ruibing Wang & Qinglong Gou, 2019. "Monetization on Mobile Platforms: Balancing in‐App Advertising and User Base Growth," Production and Operations Management, Production and Operations Management Society, vol. 28(9), pages 2202-2220, September.
    18. Anindya Ghose & Sang Pil Han, 2014. "Estimating Demand for Mobile Applications in the New Economy," Management Science, INFORMS, vol. 60(6), pages 1470-1488, June.
    19. Sheen, Gwo-Ji & Tsao, Yu-Chung, 2007. "Channel coordination, trade credit and quantity discounts for freight cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(2), pages 112-128, March.
    20. Wang, Xin & Tao, Zhiying & Liang, Liang & Gou, Qinglong, 2019. "An analysis of salary mechanisms in the sharing economy: The interaction between streamers and unions," International Journal of Production Economics, Elsevier, vol. 214(C), pages 106-124.
    21. Gadi Fibich & Arieh Gavious & Oded Lowengart, 2003. "Explicit Solutions of Optimization Models and Differential Games with Nonsmooth (Asymmetric) Reference-Price Effects," Operations Research, INFORMS, vol. 51(5), pages 721-734, October.
    22. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    23. Liu, Huan & Lobschat, Lara & Verhoef, Peter C. & Zhao, Hong, 2019. "App Adoption: The Effect on Purchasing of Customers Who Have Used a Mobile Website Previously," Journal of Interactive Marketing, Elsevier, vol. 47(C), pages 16-34.
    24. Gérard P. Cachon & Martin A. Lariviere, 2005. "Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations," Management Science, INFORMS, vol. 51(1), pages 30-44, January.
    25. B. Viscolani & G. Zaccour, 2009. "Advertising Strategies in a Differential Game with Negative Competitor’s Interference," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 153-170, January.
    26. Zhen Sun & Milind Dawande & Ganesh Janakiraman & Vijay Mookerjee, 2017. "Not Just a Fad: Optimal Sequencing in Mobile In-App Advertising," Information Systems Research, INFORMS, vol. 28(3), pages 511-528, September.
    27. Chakraborty, Tulika & Chauhan, Satyaveer S. & Vidyarthi, Navneet, 2015. "Coordination and competition in a common retailer channel: Wholesale price versus revenue-sharing mechanisms," International Journal of Production Economics, Elsevier, vol. 166(C), pages 103-118.
    28. Lihao Lu & Qinglong Gou & Wansheng Tang & Jianxiong Zhang, 2016. "Joint pricing and advertising strategy with reference price effect," International Journal of Production Research, Taylor & Francis Journals, vol. 54(17), pages 5250-5270, September.
    29. Chester Chambers & Panos Kouvelis & John Semple, 2006. "Quality-Based Competition, Profitability, and Variable Costs," Management Science, INFORMS, vol. 52(12), pages 1884-1895, December.
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    Cited by:

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    2. Xiaotong Guo & Yong He, 2022. "Mathematical Modeling and Optimization of Platform Service Supply Chains: A Literature Review," Mathematics, MDPI, vol. 10(22), pages 1-19, November.

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