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math.OC2023
Design of zero-determinant strategies and its application to networked repeated games
Daizhan Cheng, Changxi Li
Using semi-tensor product (STP) of matrices, the profile evolutionary equation (PEE) for repeated finite games is obtained. By virtue of PEE, the zero-determinant (ZD) strategies a…
math.OC2022
Dimension-Free Matrix Spaces
Daizhan Cheng
Based on various types of semi-tensor products of matrices, the corresponding equivalences of matrices are proposed. Then the corresponding vector space structures are obtained as…
math.OC2016★ 5 cited
Game Theoretic Control of Multi-Agent Systems
Ting Liu, Jinhuan Wang, Daizhan Cheng
Control of multi-agent systems via game theory is investigated. Assume a system level object is given, the utility functions for individual agents are designed to convert a multi-a…