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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.NA2023
On Universal Eigenvalues and Eigenvectors of Hypermatrices
Daizhan Cheng, Zhengping Ji
A generalized eigenvector of a hypermatrix, called the universal (U-) eigenvector, is proposed, which extended the notion of diagonal (D-) eigenvectors in the literature. Using the…