SCIENCE CHINA Information Sciences, Volume 59 , Issue 9 : 092209(2016) https://doi.org/10.1007/s11432-016-5532-x

Dynamics and stability for a class of evolutionary games with time delays in strategies

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  • ReceivedOct 26, 2015
  • AcceptedDec 18, 2015
  • PublishedAug 23, 2016



[1] Maynard S J, Price G R. The logic of animal conflict. Nature, 1973, 24615-18 CrossRef Google Scholar

[2] Madeo D, Mocenni C. Game interactions and dynamics on networked populations. IEEE Trans Automat Contr, 2015, 601801-1810 CrossRef Google Scholar

[3] Parke W R, Waters G A. An evolutionary game theory explanation of ARCH effects. J Econ Dynam Control, 2007, 312234-2262 CrossRef Google Scholar

[4] Ohtsuki H, Hauert C, Lieberman E, et al. A simple rule for the evolution of cooperation on graphs and social networks. Nature, 2006, 441502-505 CrossRef Google Scholar

[5] Mojica-Nava E, Macana C A, Quijano N. Dynamic population games for optimal dispatch on hierarchical microgrid control. IEEE Trans Syst Man Cybern: Syst, 2014, 44306-317 CrossRef Google Scholar

[6] Alboszta J, Miekisz J. Stability and evolutionary stable strategies in discrete replicator dynamics with delay. J Theor Biol, 2004, 231175-179 CrossRef Google Scholar

[7] Taylor P D, Jonker L. Evolutionary stable strategies and game dynamics. Math Biosci, 1978, 1676-83 Google Scholar

[8] Szab$\mathrm{\acute{o}}$ G, Fath G. Evolutionary games on graphs. Phys Rep, 2007, 44697-216 CrossRef Google Scholar

[9] Suzuki S, Akiyama E. Evolutionary stability of first-order-information indirect reciprocity in sizable groups. Theor Popul Biol, 2008, 73426-436 CrossRef Google Scholar

[10] Arino J, Wang L, Wolkowicz G. An alternate formulation for a delayed logistic equation. J Theor Biol, 2006, 241109-119 CrossRef Google Scholar

[11] Miekisz J, Wesolowski S. Stochasticity and time delays in evolutionary games. Dynam Games Appl, 2011, 1440-448 CrossRef Google Scholar

[12] Tao Y, Wang Z. Effect of time delay and evolutionarily stable strategy. J Theor Biol, 1997, 187111-116 CrossRef Google Scholar

[13] Tembine H, Altman E, El-Azouzi R. Delayed evolutionary game dynamics applied to medium access control. In: Proceedings of IEEE International Conference on Mobile Adhoc and Sensor Systems, Pisa, 2007. 1--6. Google Scholar

[14] Brown G W. Iterative solution of games by fictitious play. Activ Anal Prod Allocation, 1951, 13374-376 Google Scholar

[15] Candogan O, Menache I, Ozdaglar A, et al. Flows and decompositions of games: harmonic and potential games. Math Oper Res, 2011, 36474-503 CrossRef Google Scholar

[16] Morris S, Ui T. Generalized potentials and robust sets of equilibria. J Econ Theory, 2005, 12445-78 CrossRef Google Scholar

[17] Ui T. Robust equilibria of potential games. Econometrica, 2001, 691373-1380 CrossRef Google Scholar

[18] Sandholm W H. Large population potential games. J Econ Theory, 2009, 1441710-1725 CrossRef Google Scholar

[19] Cheng D, Qi H, Li Z. Analysis and Control of Boolean Networks: a Semi-tensor Product Approach. London: Springer, 2011. Google Scholar

[20] Li Z Q, Song J L. Controllability of Boolean control networks avoiding states set. Sci China Inf Sci, 2014, 57032205-1725 Google Scholar

[21] Feng J, Yao J, Cui P. Singular Boolean networks: semi-tensor product approach. Sci China Inf Sci, 2013, 56112203-1725 Google Scholar

[22] Li H, Wang Y, Xie L. Output tracking control of Boolean control networks via state feedback: constant reference signal case. Automatica, 2015, 5954-59 CrossRef Google Scholar

[23] Zhao Y, Cheng D Z. On controllability and stabilizability of probabilistic Boolean control networks. Sci China Inf Sci, 2014, 57012202-59 Google Scholar

[24] Liu Z B, Wang Y Z, Li H T. Two kinds of optimal controls for probabilistic mix-valued logical dynamic networks. Sci China Inf Sci, 2014, 57052201-59 Google Scholar

[25] Wang Y, Zhang C, Liu Z. A matrix approach to graph maximum stable set and coloring problems with application to multi-agent systems. Automatica, 2012, 481227-1236 CrossRef Google Scholar

[26] Cheng D, He F, Qi H, et al. Modeling, analysis and control of networked evolutionary games. IEEE Trans Automat Contr, 2015, 602402-2415 CrossRef Google Scholar

[27] Guo P, Wang Y, Li H. Algebraic formulation and strategy optimization for a class of evolutionary networked games via semi-tensor method. Automatica, 2013, 493384-3389 CrossRef Google Scholar

[28] Zhang L J, Zhang K Z. Controllability of time-variant Boolean control networks and its application to Boolean control networks with finite memories. Sci China Inf Sci, 2013, 56108201-3389 Google Scholar

[29] Rasmusen E. Games and Information: an Introduction to Game Theory. Oxford: Basil Blackwell, 2007. Google Scholar

[30] Monderer D, Shapley L S. Potential games. Games Econ Behav, 1996, 14124-143 CrossRef Google Scholar

[31] Cheng D. On finite potential games. Automatica, 2014, 501793-1801 CrossRef Google Scholar

[32] Young H P. The evolution of conventions. Econometrica, 1993, 6157-84 CrossRef Google Scholar


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