Robust Strategy Optimization of Networked Evolutionary Games with Disturbance Inputs

Yuan Zhao (), Shihua Fu (), Jianli Zhao () and Xinling Li ()
Additional contact information
Yuan Zhao: Liaocheng University
Shihua Fu: Liaocheng University
Jianli Zhao: Liaocheng University
Xinling Li: Liaocheng University

Dynamic Games and Applications, 2024, vol. 14, issue 2, No 11, 508-523

Abstract: Abstract This paper investigates the robust strategy optimization problem for networked evolutionary games (NEGs) with pseudo-players and disturbance inputs using semi-tensor product of matrices, and presents a number of new results. First, we convert the evolutionary dynamics of the NEGs into an algebraic formulation. Secondly, we calculate the profile set in which the total payoff of the game will not less than a given value, and give two algorithms to find the largest robust profile control invariant set and the robust convergence region of this invariant set. Thirdly, the design method of profile feedback control, which can be used to regulate the strategies of the pseudo-players, is given to make the overall benefit of the game reach a certain threshold. Finally, an illustrative example is given to show the effectiveness of our main results.

Keywords: Networked evolutionary games; Robust profile control invariant set; Robust convergence region; Profile feedback control; Semi-tensor product (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13235-022-00473-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:dyngam:v:14:y:2024:i:2:d:10.1007_s13235-022-00473-9

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/13235

DOI: 10.1007/s13235-022-00473-9

Access Statistics for this article

Dynamic Games and Applications is currently edited by Georges Zaccour

More articles in Dynamic Games and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().