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Impact of Decision Feedback on Networked Evolutionary Game with Delays in Control Channel

Author

Listed:
  • Liangliang Chang

    (Tianjin University of Technology)

  • Zhipeng Zhang

    (Tiangong University)

  • Chengyi Xia

    (Tiangong University)

Abstract

Cooperative behavior exists widely in nature and social life, and the delays generated during the transmission of information have an important effect on the dynamic evolution of cooperation. To this end, the effect of delays in the control channel (from decision-making to action) on network evolutionary games is explored, and the strategy synthesis problem is also investigated using semi-tensor products of matrices. Firstly, the dynamics of network evolutionary games with delays in control transmission can be converted into an algebraic expression. Secondly, a reachable set approach is introduced to analyze the closed-loop dynamics with control delay, and some sufficient and necessary conditions for the existence of strategy convergence are derived. Meanwhile, an improved algorithm is developed to design the feedback control law, which guarantees that all the strategy trajectories are stable to the desired profile. Finally, two illustrative examples are provided to demonstrate the effectiveness of the results obtained. The current method will help to devise a favorable framework for designing just-in-time strategies in practice.

Suggested Citation

  • Liangliang Chang & Zhipeng Zhang & Chengyi Xia, 2023. "Impact of Decision Feedback on Networked Evolutionary Game with Delays in Control Channel," Dynamic Games and Applications, Springer, vol. 13(3), pages 783-800, September.
    • Handle: RePEc:spr:dyngam:v:13:y:2023:i:3:d:10.1007_s13235-022-00486-4
    DOI: 10.1007/s13235-022-00486-4
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    References listed on IDEAS

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    1. Mark Broom & Igor V. Erovenko & Jan Rychtář, 2021. "Modelling Evolution in Structured Populations Involving Multiplayer Interactions," Dynamic Games and Applications, Springer, vol. 11(2), pages 270-293, June.
    2. Lipowski, Adam & Gontarek, Krzysztof & Ausloos, Marcel, 2009. "Statistical mechanics approach to a reinforcement learning model with memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1849-1856.
    3. Daniel Friedman, 1998. "On economic applications of evolutionary game theory," Journal of Evolutionary Economics, Springer, vol. 8(1), pages 15-43.
    4. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    5. Guo, Hao & Chu, Chen & Shen, Chen & Shi, Lei, 2018. "Reputation-based coevolution of link weights promotes cooperation in spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 265-268.
    6. Wu, Zhi-Xi & Guan, Jian-Yue & Xu, Xin-Jian & Wang, Ying-Hai, 2007. "Evolutionary prisoner's dilemma game on Barabási–Albert scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 672-680.
    7. Yu, You-Yang & Ni, Yang-Chun, 2008. "Network effects of animal conflicts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6379-6384.
    8. Jianjun Wang & Renato De Leone & Shihua Fu & Jianwei Xia & Lishan Qiao, 2021. "Event-triggered control design for networked evolutionary games with time invariant delay in strategies," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(3), pages 493-504, February.
    9. Izquierdo, Luis R. & Izquierdo, Segismundo S. & Gotts, Nicholas M. & Polhill, J. Gary, 2007. "Transient and asymptotic dynamics of reinforcement learning in games," Games and Economic Behavior, Elsevier, vol. 61(2), pages 259-276, November.
    Full references (including those not matched with items on IDEAS)

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