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Game analysis and pricing strategy of duopoly airlines based on service

Author

Listed:
  • Li Cheng

    (Shanghai University of Engineering Science)

  • Liu Conglin

    (Shanghai University of Engineering Science)

Abstract

Based on the basic assumptions of Hotelling model, this paper studied the game of duopoly airlines with service difference. Through the division of different service situations, the static game model of duopoly airlines was established, the relationship between airfare and position, revenue and position, service quality level and unit loss cost were studied, and the mutual influence law between two airlines was obtained. At the same time, based on the duopoly static game model, a dynamic airfare game system was constructed, and the equilibrium solution and stability of the system were discussed through the knowledge of nonlinear dynamics. The influence of dynamic adjustment speed and variation of service cost coefficient on equilibrium airfare were obtained, and the branch chaos under different service conditions was studied. Finally, chaos control was adopted to intervene the unstable state of the system, which could effectively make the system return to stability. The results showed that the maximum or minimum differentiation position strategy adopted by airlines in static game depended on the parameter range. In addition, when the service cost coefficient increased, the service quality level would decline, so the value of service cost coefficient should be controlled reasonably. In dynamic game, the difference of initial airfares did not affect the final equilibrium airfares. On the premise of providing services, small service cost coefficient might easily led to chaos of the system. A small fluctuation of any parameter might change the stable state of the system. Therefore, under the premise of the rapid development of today’s service industry, airlines should build brand characteristics and fully consider the influence of competition and service quality factors when pricing. Secondly, the stable area of control system was very important to maintain market order.

Suggested Citation

  • Li Cheng & Liu Conglin, 2023. "Game analysis and pricing strategy of duopoly airlines based on service," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(3), pages 1103-1124, June.
    • Handle: RePEc:spr:ijsaem:v:14:y:2023:i:3:d:10.1007_s13198-023-01924-1
    DOI: 10.1007/s13198-023-01924-1
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    1. de Palma, André & Ordás Criado, Carlos & Randrianarisoa, Laingo M., 2018. "When Hotelling meets Vickrey. Service timing and spatial asymmetry in the airline industry," Journal of Urban Economics, Elsevier, vol. 105(C), pages 88-106.
    2. Hang Zhou & Shikang Zhou, 2019. "Pricing strategy of multi-oligopoly airlines based on service quality," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-14, June.
    3. Borenstein, Severin & Netz, Janet, 1999. "Why do all the flights leave at 8 am?: Competition and departure-time differentiation in airline markets," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 611-640, July.
    4. Stefano Colombo, 2011. "Spatial price discrimination in the unidirectional Hotelling model with elastic demand," Journal of Economics, Springer, vol. 102(2), pages 157-169, March.
    5. Yi Tian & Junhai Ma & Wandong Lou, 2018. "Research on Supply Chain Stability Driven by Consumer’s Channel Preference Based on Complexity Theory," Complexity, Hindawi, vol. 2018, pages 1-13, August.
    6. Stamolampros, Panagiotis & Korfiatis, Nikolaos, 2019. "Airline service quality and economic factors: An ARDL approach on US airlines," Journal of Air Transport Management, Elsevier, vol. 77(C), pages 24-31.
    7. P. Senthil Kumar, 2020. "Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(1), pages 189-222, February.
    8. Severin Borenstein, 1989. "Hubs and High Fares: Dominance and Market Power in the U.S. Airline Industry," RAND Journal of Economics, The RAND Corporation, vol. 20(3), pages 344-365, Autumn.
    9. Peng, Yu & Lu, Qian & Wu, Xue & Zhao, Yueru & Xiao, Yue, 2020. "Dynamics of Hotelling triopoly model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    10. Osborne, Martin J & Pitchik, Carolyn, 1987. "Equilibrium in Hotelling's Model of Spatial Competition," Econometrica, Econometric Society, vol. 55(4), pages 911-922, July.
    11. Junhai Ma & Fang Zhang & Yanyan He, 2014. "Complexity Analysis of a Master-Slave Oligopoly Model and Chaos Control," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, August.
    12. Seyed Jafar Sadjadi & Hashem Asadi & Ramin Sadeghian & Hadi Sahebi, 2018. "Retailer Stackelberg game in a supply chain with pricing and service decisions and simple price discount contract," PLOS ONE, Public Library of Science, vol. 13(4), pages 1-24, April.
    13. Chen, Lu & Li, Yong-Quan & Liu, Chih-Hsing, 2019. "How airline service quality determines the quantity of repurchase intention - Mediate and moderate effects of brand quality and perceived value," Journal of Air Transport Management, Elsevier, vol. 75(C), pages 185-197.
    14. Borenstein, Severin & Rose, Nancy L, 1994. "Competition and Price Dispersion in the U.S. Airline Industry," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 653-683, August.
    15. P. Senthil Kumar, 2019. "Intuitionistic fuzzy solid assignment problems: a software-based approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(4), pages 661-675, August.
    16. P. Senthil Kumar & R. Jahir Hussain, 2016. "Computationally simple approach for solving fully intuitionistic fuzzy real life transportation problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 7(1), pages 90-101, December.
    17. Wu, Cheng-Han & Lai, Jing-Yi, 2019. "Dynamic pricing and competitive time-to-market strategy of new product launch under a multistage duopoly," European Journal of Operational Research, Elsevier, vol. 277(1), pages 138-152.
    18. Economides, Nicholas, 1986. "Minimal and maximal product differentiation in Hotelling's duopoly," Economics Letters, Elsevier, vol. 21(1), pages 67-71.
    19. Escobar-Rodríguez, Tomás & Carvajal-Trujillo, Elena, 2013. "Online drivers of consumer purchase of website airline tickets," Journal of Air Transport Management, Elsevier, vol. 32(C), pages 58-64.
    20. Jou, Rong-Chang & Lam, Soi-Hoi & Hensher, David A. & Chen, Chih-Cheng & Kuo, Chung-Wei, 2008. "The effect of service quality and price on international airline competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(4), pages 580-592, July.
    21. Yao Cui & A. Yeşim Orhun & Izak Duenyas, 2019. "How Price Dispersion Changes When Upgrades Are Introduced: Theory and Empirical Evidence from the Airline Industry," Management Science, INFORMS, vol. 65(8), pages 3835-3852, August.
    22. Hans Peters & Marc Schröder & Dries Vermeulen, 2018. "Hotelling’s location model with negative network externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 811-837, September.
    23. Qian Liu & Dan Zhang, 2013. "Dynamic Pricing Competition with Strategic Customers Under Vertical Product Differentiation," Management Science, INFORMS, vol. 59(1), pages 84-101, August.
    24. Tong Zhang & Yixue Huo & Xin Zhang & Jie Shuai, 2019. "Endogenous third-degree price discrimination in Hotelling model with elastic demand," Journal of Economics, Springer, vol. 127(2), pages 125-145, July.
    25. Alderighi, Marco & Nicolini, Marcella & Piga, Claudio A., 2019. "Is low-cost carriers’ revenue management a firm capability?," Journal of Air Transport Management, Elsevier, vol. 78(C), pages 15-22.
    26. Zhang, Ming & Wang, Guanghui & Xu, Jin & Qu, Cunquan, 2020. "Dynamic contest model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    27. Narangajavana, Yeamduan & Garrigos-Simon, Fernando J. & García, Javier Sanchez & Forgas-Coll, Santiago, 2014. "Prices, prices and prices: A study in the airline sector," Tourism Management, Elsevier, vol. 41(C), pages 28-42.
    28. Marco Alderighi & Marcella Nicolini & Claudio A. Piga, 2015. "Combined Effects of Capacity and Time on Fares: Insights from the Yield Management of a Low-Cost Airline," The Review of Economics and Statistics, MIT Press, vol. 97(4), pages 900-915, October.
    29. Shaban, I.A. & Wang, Z.X. & Chan, F.T.S. & Chung, S.H. & Eltoukhy, A.E.E. & Qu, T., 2019. "Price setting for extra-baggage service for a combination carrier using the newsvendor setup," Journal of Air Transport Management, Elsevier, vol. 78(C), pages 1-14.
    30. A. A. Elsadany & A. M. Awad, 2016. "Dynamical analysis and chaos control in a heterogeneous Kopel duopoly game," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(4), pages 617-639, December.
    31. Ma, Wenliang & Wang, Qiang & Yang, Hangjun & Zhang, Yahua, 2019. "An analysis of price competition and price wars in Australia's domestic airline market," Transport Policy, Elsevier, vol. 81(C), pages 163-172.
    32. S. A. Chernogorskiy & A. V. Kozlov & A. B. Teslya, 2020. "Game-theoretic modeling of decision-making on state support for the infrastructure development in the Russian Far North," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(1), pages 10-18, May.
    33. Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
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