Two-Period Optimal Control for Opinion Dynamics
Abstract
This paper considers an optimal control problem in opinion dynamics, where the time interval is assumed to be divided into two segments. In one segment, the agent is under the player’s control, while in the other, the player does not exert control. The goal of the player is to bring the agent’s opinion close to a specific target value, while the player aims to minimize the payment function. By solving the player’s closed-loop optimal control using the HJB equation method and applying the Pontryagin Maximum Principle to derive the player’s open-loop optimal control, the simulation results indicate that the player incurs higher costs when implementing closed-loop control.
Keywords:
opinion dynamics, optimal control, HJB equation, Pontryagin Maximum Principle
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Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
