Previous Articles Next Articles
DAI Xiaoyan, WANG Jinhuan, XU Yong
[1] Aydogmus O, Discovering the effect of nonlocal payoff calculation on the stabilty of ESS: Spatial patterns of Hawk-Dove game in metapopulations, Journal of Theortical Biology, 2018, 442: 87– 97. [2] Samadi A H, Montakhab A, and Marzban H, Quantum Barro-Gordon game in monetary economics, Physica A-Statistical Mechanics and Its Applications, 2018, 489: 94–101. [3] Taghizadeh A, Kebriaei H, and Niyato D, Mean field game for equilibrium analysis of mining computational power in blockchains, IEEE Internet of Things Journal, 2020, 7(8): 7625–7635. [4] Zhang X, Hao Y Q, and Cheng D Z, Incomplete-profile potential games, Journal of the Franklin Institute-Engineering and Applied Mathematics, 2018, 355(2): 862–877. [5] Deng L, Fu S H, and Zhu P Y, State feedback control design to avoid players going bankrupt, Asian Journal of Control, 2019, 21(6): 2551–2558. [6] Xiao Y F and Dougherty E R, The impact of function perturbations in Boolean networks, Bioinformatics, 2007, 23(10): 1265–1273. [7] Li H T and Wang Y Z, Minimum-time state feedback stabilization of constrained Boolean control networks, Asian Journal of Control, 2016, 8(5): 1688–1697. [8] Rosenthal R W, A class of games possessing pure-strategy Nash equilibria, International Journal of Game Theory, 1973, 2(1): 65–67. [9] Monderer D and Shapley L S, Potential games, Games and Economic Behavior, 1996, 14(1): 124–143. [10] Marden J R, Arslan G, and Shamma J S, Cooperative control and potential games, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetic, 2009, 39(6): 1393–1407. [11] Yaziciǒglu A Y, Egerstedt M, and Shamma J S, A game theoretic approach to distributed coverage of graphs by heterogeneous mobile agents, Estimation and Control of Networked Systems, 2013, 4(1): 309–315. [12] Liang Y L, Liu F, and Wang C, Distributed demand-side energy management scheme in residential smart grids: An ordinal state-based potential game approach, Applied Energy, 2017, 206: 991– 1008. [13] Heikkinen T, A potential game approach to distributed power control and scheduling, Computer Networks, 2006, 50(13): 2295–2311. [14] Marden J R, State based potential games, Automatica, 2012, 48(12): 3075–3088. [15] Wang X, Xiao N, Wongpiromsarn T, et al., Distributed consensus in noncooperative congestion games: An application to road pricing, Proceedings of the 10th IEEE International Conference on Control and Automation, 2013, 1668–1673. [16] Candogan O, Menache I, and Ozdaglar A, Flows and decompositions of games: Harmonic and potential games, Mathematics of Operations Research, 2011, 36(3): 474–503. [17] Cheng D Z, Liu T, Zhang K Z, et al., On decomposed subspaces of finite games, IEEE Transactions on Automatic Control, 2016, 61(11): 3651–3656. [18] Wang Y H, Liu T, and Cheng D Z, From weighted potential game to weighted harmonic game, IET Control Theory & Applications, 2017, 11(13): 2161–2169. [19] Pan Y N, Fu S H, and Zhao J L, Weighted potential incomplete-profile games, IEEE Access, 2020, 8: 67408–67415. [20] Cheng D Z, Qi H S, and Zhao Y, An Introduction to Semi-Tensor Product of Matrices and Its Applications, World Scientific, Singapore, 2012. [21] Meng M, Lam J, and Feng J E, Stability and stabilization of Boolean networks with stochastic delays, IEEE Transactions on Automatic Control, 2019, 64(2): 790–796. [22] Li H T, Xie L H, and Wang Y Z, On robust control invariance of Boolean control networks, Automatica, 2016, 68: 392–396. [23] Zhu S Y, Lu J Q, Liu Y, et al., Output tracking of probabilistic Boolean networks by output feedback control, Information Sciences, 2019, 483: 96–105. [24] Qi H S, Wang Y H, Liu T, et al., Vector space structure of finite evoulutionary games and its application to strategy profile convergence, Journal of Systems Science & Complexity, 2016, 29(3): 602–628. [25] Li C X, Xing Y, and He F H, A strategic learning algorithm for state-based games, Automatica, 2020, 133: 108615. [26] Mei S W, Liu F, and Xue A C, Semi-Tensor Product Method in Power System Transient Analysis, Tsinghua University Press, Beijing, 2010(in Chinese). [27] Wang G R, Wei Y M, and Qiao S Z, Generalized Inverses: Theory and Computations, Science Press, Beijing, 2018. [28] Cheng D Z, On finite potential games, Automatica, 2014, 50(7): 1793–1801. |
[1] | WANG Yuanhua, LI Haitao. Algebraic Verification of Finite Group-Based Potential Games with Vector Payoffs [J]. Journal of Systems Science and Complexity, 2022, 35(6): 2131-2144. |
[2] | FAN Naqi, ZHANG Lijun, ZHANG Shenggui, LIU Jiuqiang. Matching Algorithms of Minimum Input Selection for Structural Controllability Based on Semi-Tensor Product of Matrices [J]. Journal of Systems Science and Complexity, 2022, 35(5): 1808-1823. |
[3] | LIU Aixin, LI Haitao, LI Ping, YANG Xinrong. On Basis and Pure Nash Equilibrium of Finite Pure Harmonic Games [J]. Journal of Systems Science and Complexity, 2022, 35(4): 1415-1428. |
[4] | GUO Peilian,WANG Yuzhen. The Computation of Nash Equilibrium in Fashion Games via Semi-Tensor Product Method [J]. Journal of Systems Science and Complexity, 2016, 29(4): 881-896. |
[5] | LI Haitao, WANG Yuzhen, LIU Zhenbin. ON THE OBSERVABILITY OF FREE BOOLEAN NETWORKS VIA THE SEMI-TENSOR PRODUCT METHOD [J]. Journal of Systems Science and Complexity, 2014, 27(4): 666-678. |
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||