Abstract:To investigate the influence of delayed decision and bounded rationality on complexity of airlines′ price competition, the airlines′ dynamic price competition model based on delayed bounded rationality was established by using the theory of bifurcation of dynamic systems. Theoretic analysis and numerical simulations were provided to study the complex dynamics of this model. The results show that the larger weight of delayed decision can enlarge the stability region of the model and shorten the time of the model to reach the equilibrium points. When the model is unstable, it is more beneficial for airlines to use delayed decision. And once an airline uses delayed decision, the free-rider problem can be shown from the competitors who will get extra profits. It is important to choose a reasonable weight of delayed decision to balance airlines′ market performance.
[1] Gallego G, Hu M. Finite horizon dynamic pricing of perishable assets under competition[C]//6th Annual Conference of the Revenue Management and Pricing Informs Section. New York,2006. [2] 高强, 朱金福, 蓝伯雄. 国内航空公司实施收益管理的博弈分析[J]. 科研管理, 2006, 27(6): 125-129. Gao Qiang, Zhu Jinfu, Lan Boxiong. Research of application of revenue management in civil airline[J]. Science Research Management, 2006, 27(6): 125-129. [3] 景崇毅, 孙宏, 曾文水. 机票价格管制问题的博弈分析及解释[J]. 中国软科学, 2008,23(3): 140-147. Jing Chongyi, Sun Hong, Zeng Wenshui. Game theory analysis and explanation of air ticket price control problem[J]. China Soft Science, 2008,23(3): 140-147. [4] 梅虎, 朱金福, 汪侠. 基于博弈分析的航空收益管理定价研究[J]. 预测, 2006, 25(6): 45-49. Mei Hu, Zhu Jinfu, Wang Xia. Research on Revenue Management Pricing of Airlines Based on Game Theory[J]. Forecasting, 2006, 25(6): 45-49. [5] Mantin B,Koo B. Dynamic price dispersion in airline markets[J]. Transportation Research Part E, 2009, 45 (6): 1020-1029. [6] 王锐兰. 航空公司价格竞争的博弈解释[J]. 技术经济与管理研究, 2004,23(3): 81-82. Wang Ruilan. Game theory analysis of airline price competition[J]. Techno economics & Management Research, 2004,23(3): 81-82. [7] Martin J C, Concepcion Roman. Hub location in the South-Atlantic airline market: a spatial competition[J]. Transportation Research Part A, 2003, 37(10): 865-888. [8] 肖艳颖. 航空公司市场竞争定价博弈模型[J]. 中国民航大学学报, 2008, 26(6): 52-55. Xiao Yanying. Game theory model of dual oligopoly airlines competition pricing[J]. Journal of Civil Aviation University of China, 2008, 26(6): 52-55. [9] Forbes S J. The effect of air traffic delays on airline prices[J]. International Journal of Industrial Organization, 2008, 26(4): 1218-1232. [10] Aguirregabiria V, Ho Chun-Yu. A dynamic game of airline network competition: hub-and-spoke networks and entry deterrence[J]. International Journal of Industrial Organization, 2010,28(4): 377-382. [11] Aguirregabiria V, Ho Chun-Yu. A dynamic oligopoly game of the US airline industry: estimation and policy experiments[J]. Journal of Econometrics, 2012, 168(1): 156-173. [12] Zhang Y H, Round D. Price wars and price collusion in China′s airline markets[J]. International Journal of Industrial Organization, 2011, 29(4): 361-372. [13] Hu R, Xia H SH, Jiang Y. Complex dynamics for Airlines′ price competition with differentiation strategy[J]. Journal of Transportation Systems Engineering and Information Technology, 2013, 13(1): 11-16. [14] 胡荣, 夏洪山. 航空公司动态价格竞争复杂性及混沌控制——基于不同竞争战略与不同理性的分析[J]. 系统工程理论与实践, 2013, 33(1): 151-158. Hu Rong, Xia Hongshan. Complexity analysis and chaos control of airlines′ dynamic price competition: an application of different competition strategies and heterogeneous players[J]. Systems Engineering-Theory & Practice, 2013, 33(1): 151-158. [15] Agiza H N,Elsadany A A.Nonlinear dynamics in the Cournot duopoly game with heterogeneous players[J]. Physica A, 2003, 320(15): 512-524. [16] Yassen M T, Agiza H N. Analysis of a duopoly game with delayed bounded rationality[J]. Applied Mathematics and Computation, 2003, 138(2): 387-402. [17] 徐峰, 盛昭瀚, 姚洪兴, 等. 延迟决策对一类双寡头广告博弈模型的影响分析[J]. 管理科学学报, 2007, 10(5): 1-10. Xu Feng, Sheng Zhaohan, Yao Hongxing, et al. Study on a duopoly advertising model with delayed decisions[J]. Journal of Management Science in China, 2007, 10(5): 1-10.