Game-Theoretic Position Adaptation in Multi-Agent Confrontation via Dynamic Triangle Plane Optimization

To address the challenge of requiring extensive data and computational resources in intelligent control game systems, this paper proposes a triangular game relationship model on a plane, involving dynamic player A, dynamic player B, and the fixed-point base camp b of player B. The model, which is typically used in real game scenarios where only small-scale effective data can be obtained to support the operation of intelligent game control systems, eliminates the necessary need for complete information in the adversarial deterrence game. In this triangular game relationship model, the coordinate position relationships between player A, player B, and player B's base camp b provide the constraint conditions for optimizing confrontation positions. Subsequently, an objective function for player A's optimal game position is constructed, and the local optimal confrontation position is derived and verified by incorporating the optimization constraints.