The paper studies the open-loop saddle point and lower upper values, as well their relationship for two-person zero-sum stochastic linear-quadratic (LQ) differential games with...

We study a two-player zero-sum game (matrix for short) with the objective of finding saddle point and its value. develop novel convolutional neural network (CNN approach to achieve goal. propose complete training pipeline, including specific CNN model structure handle varying sizes, generating datasets, fitting. The experiment results show that our proposed method outperforms traditional linear...

Abstract Human learning transfer abilities take advantage of important cognitive building blocks such as an abstract representation concepts underlying tasks and causal models the environment. One way to build representations environment when task involves interactions with others is a model opponent that may inform what actions they are likely next. In this study, we explore modelling its in g...

In this paper Boolean games are introduced as a class of two-player zero-sum games along with a number of operations on them. We argue that Boolean games can be interpreted as modelling the information structures of two-person zero-sum games. As such they comprise games of imperfect information. The algebra of Boolean games modulo strategic equivalence is then proven to be isomorphic to the Lin...