An Asynchronous Irrational Behavior Proof Condition for the Problem of Emission Reduction

Abstract:

In dynamic cooperative games, a player may use ‘irrational’ acts to extort additional gains if conditions allow. For the differential game problem occurred in the infinite interval, we propose a new asynchronous irrational behavior proof (AIBP) condition. This condition requires that the later the irrational behaviors appear, i.e., the more time the player participates in cooperation, the higher payoff the player will get. Considering the differential game about the problem of emission reduction among countries, we show that the AIBP condition can make the cooperation last much longer.

• Periodical: Applied Mechanics and Materials (Volume 863)
• Pages: 195-200
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.863.195
• Online since: February 2017
• Authors: Hai Qiang Ji, Hong Wei Gao*, Lei Wang, Meng Ke Zhen, Shu Qing Liu
• Keywords: Asynchronous Irrational Behavior Proof, Cooperative Differential Games, Shapley Value

References

[1] D. W. K. Yeung. A differential game of industrial pollution management. Ann. Operat. Res. 37 (1992) 297–311.

[2] T. Feenstra, P. M. Kort, A. De Zeeuw. Environmental policy instruments in an international duopoly with feedback investment strategies. J. Econ. Dyn. Contr. 25 (2001) 1665–1687.

DOI: 10.1016/s0165-1889(99)00076-7

[3] L. A. Petrosyan, G. Zaccour. Time-consistent Shapley value allocation of pollution cost reduction. J. Econ. Dyn. Contr. 27(3) (2003) 381–398.

DOI: 10.1016/s0165-1889(01)00053-7

[4] S. Jørgensen G. Martín-Herrán, G. Zaccour. Agreeability and time consistency in linear-state differential games. J. Opt. Theor. Appl. 119(1) (2003) 49–63.

DOI: 10.1023/b:jota.0000005040.78280.a6

[5] V. Kaitala, M. Pohjola. Sustainable international agreements on green house warming: a game theory study. Ann. Int. Soc. Dyn. Game. 2 (1995) 67–88.

DOI: 10.1007/978-1-4612-0841-9_4

[6] D. W. K. Yeung. An irrational-behavior-proof condition in cooperative differential games. Int. Gama Theor. Rev. 4(8) (2006) 739-744.

DOI: 10.1142/s0219198906001223

[7] L. A. Petrosyan. Stable solutions of differential games with many participants. Viestnik of Leningrad University, 19 (1977) 46–52.

[8] L. A. Petrosyan, N. N. Danilov. Stability of solutions in non-zero sum differential games with transferable payoffs. Viestnik of Leningrad University, 1 (1979) 52–59.

[9] L. Wang, H. Gao, L. A. Petrosyan, H. Qiao, A. Sedakov. Strategically supported cooperation in dynamic games with coalition structures. Sci. China-Math. 59(5) (2016) 1015-1028.

DOI: 10.1007/s11425-016-5131-8

[10] H. Gao, L. A. Petrosyan. Dynamic Cooperative Games. Science Press, Beijing, (2009).