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A Matrix Approach to the Analysis and Control of Networked Evolutionary Games with Bankruptcy Mechanism
Author(s) -
Fu Shihua,
Wang Yuzhen,
Zhao Guodong
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1412
Subject(s) - bankruptcy , control (management) , mechanism (biology) , computer science , sequence (biology) , matrix (chemical analysis) , algebraic number , mathematical optimization , mathematics , artificial intelligence , economics , philosophy , materials science , finance , epistemology , biology , composite material , genetics , mathematical analysis
This paper investigates the evolutionary dynamic and control problem for a kind of networked evolutionary games with bankruptcy mechanism by using semi‐tensor product of matrices, and presents a number of new results. First, this kind of games are expressed as logical dynamic networks and converted into their algebraic forms, based on which, the evolutionary dynamics of the given games can be discussed. Second, the control problem is considered, and a control sequence is designed to guarantee that none of players goes bankrupt as the control target requires. Finally, an illustrative example is given to show the effectiveness of our main results.