@article{Xia2024, 
author = {Liyuan Xia and Jianjun Wang and Shihua Fu and Yuxin Gao},
title = {Control design to minimize the number of bankrupt players for networked evolutionary games with bankruptcy mechanism},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {35702-35720},
keywords = {networked evolutionary games, bankruptcy mechanism, semi-tensor product of matrices, minimize the number of bankrupt players},
url = {https://www.sciopen.com/article/10.3934/math.20241694},
doi = {10.3934/math.20241694},
abstract = {This paper analyzed the strategy optimization problem of networked evolutionary games (NEGs) with bankruptcy mechanism. The main objective was to design a state-feedback control such that the number of bankrupt players is minimized. First, an algebraic expression was formulated for this type of NEGs by the semi-tensor product of matrices, based on which the sets of profiles with different numbers of bankrupt players are defined. Second, a desired profile set in which the number of bankrupt players is no higher than a given value was obtained, and the convergence region of this set was calculated. Third, for any profile in the convergence region of the desired set, we propose a controller design method to minimize the number of bankrupt players. Finally, an example is given to illustrate the validity of our results.}
}