Mathematical Model of the Player Control in Soccer Simulation

Existing publications on smart agents control in 2D Soccer Simulation are limited to descriptions of specific tools created or list the methods and algorithms used. This paper describes a mathematical model of the problem that takes into account both the visible part of the football field and the non-visible part. The model takes into account both the history of changes in the situation and the forecast of its changes. The model makes a provision for the use of various methods for assessing and predicting the situation. The author describes a variant of solving the problem using probabilistic automata and provides an approach for developing a utility function for evaluating the situation on a 2D Soccer Simulation field.