# American Institute of Mathematical Sciences

December  2015, 8(6): 1103-1112. doi: 10.3934/dcdss.2015.8.1103

## Research on operating mechanism for creative products supply chain based on game theory

 1 College of Computer Science and Information Engineering, Zhejiang Gongshang University, Hangzhou, Zhejiang Province, China 2 Business School, Hunan University, Changsha, Hunan Province, China

Received  May 2015 Revised  September 2015 Published  December 2015

In order to solve the problems of insufficient resource utilization, high cost and overstocking of commodities in the creative products supply chain, this paper establishes a supply chain enterprises operating mechanism model from the perspective of game theory, uses repeated game, individual game and group of evolutionary game, verifies the importance of cooperation in creative products supply chain through theoretical proof and examples, puts forward the method to make a win-win game party, and finds the way to coordinate supply chain.
Citation: Tinggui Chen, Yanhui Jiang. Research on operating mechanism for creative products supply chain based on game theory. Discrete and Continuous Dynamical Systems - S, 2015, 8 (6) : 1103-1112. doi: 10.3934/dcdss.2015.8.1103
##### References:
 [1] O. Aguirre and H. Taboada, An evolutionary game theory approach for intelligent patrolling, Procedia Computer Science, 12 (2012), 140-145. doi: 10.1016/j.procs.2012.09.044. [2] A. S. Barough, M. V. Shoubi, M. Javad and E. Skadi, Application of game theory approach in solving the construction project conflicts, Procedia - Social and Behavioral Sciences, 58 (2012), 1586-1593. doi: 10.1016/j.sbspro.2012.09.1145. [3] L. Castillo and C. A. Dorao, Consensual decision-making model based on game theory for LNG processes, Energy Conversion and Management, 64 (2012), 387-396. doi: 10.1016/j.enconman.2012.06.014. [4] Y. Chen and S. Kishore, A game-theoretic analysis of decodeand-forward user cooperation, IEEE Transactions on Wireless Communications, 7 (2008), 1941-1951. [5] N. B. Dev Choudhury and S. K. Goswam, Transmission loss allocation using combined game theory and artificial neural network, International Journal of Electrical Power and Energy Systems, 43 (2012), 554-561. doi: 10.1016/j.ijepes.2012.05.017. [6] L. Cong, H. Zhang, Y. Liu, L. Zhao and G. Zhang, Collaborative network game strategy of resource allocation based on PSO, Journal of Jilin University, 42 (2012), 207-212. [7] E. V. Damme, Evolutionary game theory, European Economic Review, 38 (1994), 847-858. [8] B. Dong, Y. Wang and G. Guo, Cooperative Game Theory, China Market Press, Beijing, 2005. doi: 10.1007/978-1-4612-0873-0. [9] Y. Feng, J. Leng, Z. Xie, G. Zhang and Y. He, Route choice model considering generalized travel cost based on game theory, Mathematical Problems in Engineering, 2013 (2013), 1-5. [10] E. Frey, Evolutionary game theory: Theoretical concepts and applications to microbial communities, Physica A: Statistical Mechanics and its Applications, 389 (2010), 4265-4298. doi: 10.1016/j.physa.2010.02.047. [11] Q. Gu, T. Gao and L. Shi, Reverse supply chain pricing strategy analysis based on game theory, Systems Engineering Theory and Practice, 24 (2005), 21-25. [12] Z. Han, Z. Ji and K. J. R. Liu, Non-cooperative resource competition game by virtual referee in multi-cell OFDMA networks, IEEE Journal on Selected Areas in Communications, 25 (2007), 1079-1090. [13] B. Jeff, Game theory, Forbes, 190 (2012), 48-48. [14] W. Jia, J Yang and W. Hu, Non-cooperation game Nash equilibrium problem solving based on PSO, Computer Application Research, 29 (2012), 28-31. [15] D. Jiang, Game Theory and its Applications with Entropy, Science Press, Beijing, 2001. doi: 10.1007/978-1-4612-0873-0. [16] E. L. Law and X. Sun, Evaluating user experience of adaptive digital educational games with activity theory, International Journal of Human-Computer Studies, 70 (2012), 478-497. doi: 10.1016/j.ijhcs.2012.01.007. [17] C. Lee, Multi-objective game-theory models for conflict analysis in reservoir watershed management, Chemosphere, 87 (2012), 608-613. [18] B. Li and Y. Wang, Game Theory and its Application, Machinery Industry Press, Beijing, 2006. doi: 10.1007/978-1-4612-0873-0. [19] H. Lin, M. Chatterjee, S. Das and K. Basu, ARC: An integrated admission and rate control framework for competitive wireless CDMA data networks using noncooperative games, IEEE Transactions on Mobile Computation, 4 (2005), 243-258. [20] M. Littman, Markov games as a framework for multi-agent reinforcement learning, Proceedings of the 11th International Conference on Machine Learning, 157 (1994), 163-169. doi: 10.1016/B978-1-55860-335-6.50027-1. [21] X. Liu and J. Liu, Cooperative Game Theory Model, $2^{nd}$ edition, Science Press, Beijing, 2011. doi: 10.1007/978-1-4612-0873-0. [22] D. Ma, Analysis of brand apparel marketing model, China Business and Trade, 42 (2011), 37-38. [23] D. W. McFadden, M. Tsai, B. Kadry and W. W. Souba, Game theory: Applications for surgeons and the operating room environment, Surgery, 152 (2012), 915-922. [24] C. McMillan and R. Triggian, Min-max game theory and algebraic Riccati equations for boundary control problems with analytic semigroups II. The general case, Nonlinear Analysis: Theory, Methods and Applications, 22 (1994), 431-465. doi: 10.1016/0362-546X(94)90167-8. [25] R. Menon, A. B. MacKenzie, J. Hicks, R. M. Buehrer and J. H. Reed, A gametheoretic framework for interference avoidance, IEEE Transactions on Communications, 57 (2009), 1087-1098. [26] C. Na, D. Lu, T. Zhou and L. Li, Distributed power control algorithm based on game theory for wireless sensor networks, Journal of Systems Engineering and Electronics, 18 (2007), 622-627. [27] B. Nalin, D. Choudhury and S. K. Goswami, Transmission loss allocation using combined game theory and artificial neural network, International Journal of Electrical Power and Energy Systems, 43 (2012), 554-561. [28] N. Nie and C. Comaniciu, Adaptive channel allocation spectrum etiquette for cognitive radio networks, Mobile Networks and Applications, 11 (2006), 779-797. doi: 10.1007/s11036-006-0049-y. [29] I. Papafili, S. Soursos and G. D. Stamoulis, A novel game-theoretic framework for modeling interactions of ISPs anticipating users' reactions, 6th International ICST Conference on Performance Evaluation Methodologies, (2012), 204-213. doi: 10.4108/valuetools.2012.250363. [30] P. Renna and P. Argoneto, Capacity sharing in a network of independent factories: A cooperative game theory approach, Robotics and Computer-Integrated Manufacturing, 27 (2011), 405-417. doi: 10.1016/j.rcim.2010.08.009. [31] M. Simaan and T. Takayama, Game theory applied to dynamic duopoly problems with production constraints, Automatica, 14 (1978), 161-166. doi: 10.1016/0005-1098(78)90022-5. [32] B. B. Su, H. Chang, Y. Z. Chen and D. R. He, A game theory model of urban public traffic networks, Physica A: Statistical Mechanics and its Applications, 379 (2007), 291-297. doi: 10.1016/j.physa.2006.12.049. [33] A. P. Tchangani, A game theory framework for ISP streaming traffic management, Decision Support Systems, 42 (2006), 778-788. [34] W. Wang, Application of Game Theory and Economic Dynamic Simulation, China Social Sciences Press, Beijing, 2001. doi: 10.1007/978-1-4612-0873-0. [35] M. Wang and S. Tian, The emergence of cooperative behavior in the group, Journal of Shandong University of Technology, 25 (2011), 68-70. [36] J. Xie, X. Zhang, F. Wu and R. Fu, Load sharing cost based on cooperative game theory and engineering method, Power System Protection and Control, 40 (2012), 16-22. [37] Y. Xing, C. Mathur, M. Haleem, R. Chandramouli and K. Subbalakshmi, Dynamic spectrum access with QoS and interference temperature constraints, IEEE Transactions on Mobile Computing, 6 (2007), 423-433. doi: 10.1109/TMC.2007.50. [38] P. Zhang, The Cooperation Game Theory and Application, Shanghai Jiaotong University Press, Shanghai, 2009. doi: 10.1007/978-1-4612-0873-0. [39] R. Zhao, G. Neighbour, J. Han, M. Mcguire and P. Deutz, Using game theory to describe strategy selection for environmental risk and carbon emissions reduction in the green supply chain, Journal of Loss Prevention in the Process Industries, 25 (2012), 927-936. doi: 10.1016/j.jlp.2012.05.004. [40] H. Zhu, J. Zhu and K. J. R. Liu, Non-cooperative resource competition game by virtual referee in multi-cell OFDMA networks, IEEE Journal on Selected Areas in Communications, 25 (2007), 1079-1090.

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##### References:
 [1] O. Aguirre and H. Taboada, An evolutionary game theory approach for intelligent patrolling, Procedia Computer Science, 12 (2012), 140-145. doi: 10.1016/j.procs.2012.09.044. [2] A. S. Barough, M. V. Shoubi, M. Javad and E. Skadi, Application of game theory approach in solving the construction project conflicts, Procedia - Social and Behavioral Sciences, 58 (2012), 1586-1593. doi: 10.1016/j.sbspro.2012.09.1145. [3] L. Castillo and C. A. Dorao, Consensual decision-making model based on game theory for LNG processes, Energy Conversion and Management, 64 (2012), 387-396. doi: 10.1016/j.enconman.2012.06.014. [4] Y. Chen and S. Kishore, A game-theoretic analysis of decodeand-forward user cooperation, IEEE Transactions on Wireless Communications, 7 (2008), 1941-1951. [5] N. B. Dev Choudhury and S. K. Goswam, Transmission loss allocation using combined game theory and artificial neural network, International Journal of Electrical Power and Energy Systems, 43 (2012), 554-561. doi: 10.1016/j.ijepes.2012.05.017. [6] L. Cong, H. Zhang, Y. Liu, L. Zhao and G. Zhang, Collaborative network game strategy of resource allocation based on PSO, Journal of Jilin University, 42 (2012), 207-212. [7] E. V. Damme, Evolutionary game theory, European Economic Review, 38 (1994), 847-858. [8] B. Dong, Y. Wang and G. Guo, Cooperative Game Theory, China Market Press, Beijing, 2005. doi: 10.1007/978-1-4612-0873-0. [9] Y. Feng, J. Leng, Z. Xie, G. Zhang and Y. He, Route choice model considering generalized travel cost based on game theory, Mathematical Problems in Engineering, 2013 (2013), 1-5. [10] E. Frey, Evolutionary game theory: Theoretical concepts and applications to microbial communities, Physica A: Statistical Mechanics and its Applications, 389 (2010), 4265-4298. doi: 10.1016/j.physa.2010.02.047. [11] Q. Gu, T. Gao and L. Shi, Reverse supply chain pricing strategy analysis based on game theory, Systems Engineering Theory and Practice, 24 (2005), 21-25. [12] Z. Han, Z. Ji and K. J. R. Liu, Non-cooperative resource competition game by virtual referee in multi-cell OFDMA networks, IEEE Journal on Selected Areas in Communications, 25 (2007), 1079-1090. [13] B. Jeff, Game theory, Forbes, 190 (2012), 48-48. [14] W. Jia, J Yang and W. Hu, Non-cooperation game Nash equilibrium problem solving based on PSO, Computer Application Research, 29 (2012), 28-31. [15] D. Jiang, Game Theory and its Applications with Entropy, Science Press, Beijing, 2001. doi: 10.1007/978-1-4612-0873-0. [16] E. L. Law and X. Sun, Evaluating user experience of adaptive digital educational games with activity theory, International Journal of Human-Computer Studies, 70 (2012), 478-497. doi: 10.1016/j.ijhcs.2012.01.007. [17] C. Lee, Multi-objective game-theory models for conflict analysis in reservoir watershed management, Chemosphere, 87 (2012), 608-613. [18] B. Li and Y. Wang, Game Theory and its Application, Machinery Industry Press, Beijing, 2006. doi: 10.1007/978-1-4612-0873-0. [19] H. Lin, M. Chatterjee, S. Das and K. Basu, ARC: An integrated admission and rate control framework for competitive wireless CDMA data networks using noncooperative games, IEEE Transactions on Mobile Computation, 4 (2005), 243-258. [20] M. Littman, Markov games as a framework for multi-agent reinforcement learning, Proceedings of the 11th International Conference on Machine Learning, 157 (1994), 163-169. doi: 10.1016/B978-1-55860-335-6.50027-1. [21] X. Liu and J. Liu, Cooperative Game Theory Model, $2^{nd}$ edition, Science Press, Beijing, 2011. doi: 10.1007/978-1-4612-0873-0. [22] D. Ma, Analysis of brand apparel marketing model, China Business and Trade, 42 (2011), 37-38. [23] D. W. McFadden, M. Tsai, B. Kadry and W. W. Souba, Game theory: Applications for surgeons and the operating room environment, Surgery, 152 (2012), 915-922. [24] C. McMillan and R. Triggian, Min-max game theory and algebraic Riccati equations for boundary control problems with analytic semigroups II. The general case, Nonlinear Analysis: Theory, Methods and Applications, 22 (1994), 431-465. doi: 10.1016/0362-546X(94)90167-8. [25] R. Menon, A. B. MacKenzie, J. Hicks, R. M. Buehrer and J. H. Reed, A gametheoretic framework for interference avoidance, IEEE Transactions on Communications, 57 (2009), 1087-1098. [26] C. Na, D. Lu, T. Zhou and L. Li, Distributed power control algorithm based on game theory for wireless sensor networks, Journal of Systems Engineering and Electronics, 18 (2007), 622-627. [27] B. Nalin, D. Choudhury and S. K. Goswami, Transmission loss allocation using combined game theory and artificial neural network, International Journal of Electrical Power and Energy Systems, 43 (2012), 554-561. [28] N. Nie and C. Comaniciu, Adaptive channel allocation spectrum etiquette for cognitive radio networks, Mobile Networks and Applications, 11 (2006), 779-797. doi: 10.1007/s11036-006-0049-y. [29] I. Papafili, S. Soursos and G. D. Stamoulis, A novel game-theoretic framework for modeling interactions of ISPs anticipating users' reactions, 6th International ICST Conference on Performance Evaluation Methodologies, (2012), 204-213. doi: 10.4108/valuetools.2012.250363. [30] P. Renna and P. Argoneto, Capacity sharing in a network of independent factories: A cooperative game theory approach, Robotics and Computer-Integrated Manufacturing, 27 (2011), 405-417. doi: 10.1016/j.rcim.2010.08.009. [31] M. Simaan and T. Takayama, Game theory applied to dynamic duopoly problems with production constraints, Automatica, 14 (1978), 161-166. doi: 10.1016/0005-1098(78)90022-5. [32] B. B. Su, H. Chang, Y. Z. Chen and D. R. He, A game theory model of urban public traffic networks, Physica A: Statistical Mechanics and its Applications, 379 (2007), 291-297. doi: 10.1016/j.physa.2006.12.049. [33] A. P. Tchangani, A game theory framework for ISP streaming traffic management, Decision Support Systems, 42 (2006), 778-788. [34] W. Wang, Application of Game Theory and Economic Dynamic Simulation, China Social Sciences Press, Beijing, 2001. doi: 10.1007/978-1-4612-0873-0. [35] M. Wang and S. Tian, The emergence of cooperative behavior in the group, Journal of Shandong University of Technology, 25 (2011), 68-70. [36] J. Xie, X. Zhang, F. Wu and R. Fu, Load sharing cost based on cooperative game theory and engineering method, Power System Protection and Control, 40 (2012), 16-22. [37] Y. Xing, C. Mathur, M. Haleem, R. Chandramouli and K. Subbalakshmi, Dynamic spectrum access with QoS and interference temperature constraints, IEEE Transactions on Mobile Computing, 6 (2007), 423-433. doi: 10.1109/TMC.2007.50. [38] P. Zhang, The Cooperation Game Theory and Application, Shanghai Jiaotong University Press, Shanghai, 2009. doi: 10.1007/978-1-4612-0873-0. [39] R. Zhao, G. Neighbour, J. Han, M. Mcguire and P. Deutz, Using game theory to describe strategy selection for environmental risk and carbon emissions reduction in the green supply chain, Journal of Loss Prevention in the Process Industries, 25 (2012), 927-936. doi: 10.1016/j.jlp.2012.05.004. [40] H. Zhu, J. Zhu and K. J. R. Liu, Non-cooperative resource competition game by virtual referee in multi-cell OFDMA networks, IEEE Journal on Selected Areas in Communications, 25 (2007), 1079-1090.

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