Nowadays the semi-tensor product (STP) approach to finite games has become a promising
new direction. This paper provides a comprehensive survey on this prosperous field. After a …

There are two different definitions of input–output decoupling of Boolean control networks
(BCNs), one of which depends on system decomposition and the other does not. In this …

Using semi-tensor product of matrices, the vector space structure of Boolean games and
their some specified subsets are proposed. By resorting to the vector space structure and …

This paper presents an investigation of the optimal estimation of state for Boolean control
networks subject to stochastic disturbances. The disturbances are modeled as …

The symmetric property in n-player games is explored in this paper. First of all, some
algebraically verifiable conditions are provided respectively for the totally symmetric, weakly …

Using the semi-tensor product (STP) of matrices, the profile evolutionary equation (PEE) for
repeated finite games is obtained. By PEE, the zero-determinant (ZD) strategies are …

By resorting to the vector space structure of finite games, skew-symmetric games (SSGs) are
proposed and investigated as a natural subspace of finite games. First of all, for two player …

The symmetry-based decompositions of finite games are investigated. First, the vector space
of finite games is decomposed into a symmetric subspace and an orthogonal complement of …

This paper investigates the basis and pure Nash equilibrium of finite pure harmonic games
(FPHGs) based on the vector space structure. First, a new criterion is proposed for the …

A formula is presented for designing zero-determinant (ZD) strategies of general finite
games, which have $ n $ players and players can have different numbers of strategies. To …