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 are developed for general finite games. A
formula is then obtained to design ZD strategies for general finite games with
multi-player and asymmetric strategies. A necessary and sufficient condition is
obtained to ensure the availability of the designed ZD strategies. It follows
that player i is able to unilaterally design kiββ1 (one less than the
number of her strategies) dominating linear relations about the expected
payoffs of all players. Finally, the fictitious opponent player is proposed for
networked repeated games (NRGs). A technique is proposed to simplify the model
by reducing the number of frontier strategies.Comment: arXiv admin note: substantial text overlap with arXiv:2107.0325