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Journal of Applied Mathematics
Volume 2014, Article ID 967385, 5 pages
Research Article

Cooperative Game Study of Airlines Based on Flight Frequency Optimization

College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

Received 16 May 2014; Accepted 22 July 2014; Published 11 August 2014

Academic Editor: Min-Hsien Wu

Copyright © 2014 Wanming Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By applying the game theory, the relationship between airline ticket price and optimal flight frequency is analyzed. The paper establishes the payoff matrix of the flight frequency in noncooperation scenario and flight frequency optimization model in cooperation scenario. The airline alliance profit distribution is converted into profit distribution game based on the cooperation game theory. The profit distribution game is proved to be convex, and there exists an optimal distribution strategy. The results show that joining the airline alliance can increase airline whole profit, the change of negotiated prices and cost is beneficial to profit distribution of large airlines, and the distribution result is in accordance with aviation development.