7 citations · 24 across the 17 of their papers we have counts for
8 papers · 1 filter
On Networks Over Finite Rings
Daizhan Cheng
A (control) network over a finite ring is proposed. Using semi-tensor product (STP) of matrices, a set of algebraic equations are provided to verify whether a finite set with two b…
A Formula for Designing Zero-Determinant Strategies
Daizhan Cheng
A formula is presented for designing zero-determinant(ZD) strategies of general finite games, which have players and players can have different numbers of strategies. To this e…
A Comprehensive Survey on STP Approach to Finite Games
Daizhan Cheng, Yuhu Wu, Guodong Zhao +1
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 b…
Weighted and Near Weighted Potential Games with Application to Game Theoretic Control
Daizhan Cheng, Zhengping Ji
An algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm is also applied to find the clo…
Matrix Expression of Bayesian Game
Daizhan Cheng, Changxi Li
A matrix-based framework for Bayesian games is presented, using semi-tensor product of matrices. Static Bayesian games are considered first. Matrix expression of Bayesian games is…
On Perfect Hypercomplex Algebra
Daizhan Cheng, Zhengping Ji
The set of associative and commutative hypercomplex numbers, called the perfect hypercomplex algebra (PHA) is investigated. Necessary and sufficient conditions for an algebra to be…