Optimization via game theoretic control

Area of Science:

• Control Theory
• Game Theory
• Optimization

Background:

• Optimization problems in networked systems are complex.
• Game theoretic control is an emerging solution method.

Purpose of the Study:

• To introduce a game theoretic control approach for optimization.
• To demonstrate converting networked systems into potential games.

Main Methods:

• Networked system transformation into a potential game.
• Utilizing a pre-assigned criterion as the potential function.
• Designing an algorithm for strategy updates.

Main Results:

• The proposed method successfully converts systems into potential games.
• The algorithm facilitates reaching a Nash equilibrium.

Conclusions:

• Game theoretic control is a promising method for solving optimization problems.
• Nash equilibrium represents the optimal solution in this framework.