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 …

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 …

摘要近年来, 人机对抗智能技术作为人工智能领域的前沿方向取得了一系列突破性的进展,
如AlphaGo 和DeepStack 分别在围棋和二人无限注德州扑克中击败了人类专业选手 …

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 …

Coalition formation is often analysed in an almost non-cooperative way, as a two-stage
game that consists of a first stage comprising membership actions and a second stage with …

Using the linear representation of symmetric group in the structure vector of finite games as
its representation space, the inside structures of several kinds of symmetric games are …

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 considers symmetry in games with more than two players. It is often noted that a
two-player game is symmetric if it looks the same to both players. However, when there are …

Strategic interactions can be represented more concisely, and analyzed and solved more
efficiently, if we are aware of the symmetries within the multiagent system. Symmetries also …

We consider Nash implementation under complete information with the additional feature
that planners have to obey anonymity when designing mechanisms and shaping individuals' …