Mikailalsys Journal of Mathematics and Statistics
Vol 3 No 3 (2025): Mikailalsys Journal of Mathematics and Statistics

A Short Note on: Optimal Control in Matching Pennies Game

Habibi, Reza (Unknown)

Article Info

Publish Date
03 Oct 2025

Abstract

This short note explores the application of optimal control theory in identifying mixed equilibrium strategies within the context of the Matching Pennies game. The study emphasizes the role of gradient descent as a fundamental mechanism in the players' learning dynamics. By formulating the game as an optimal control problem, the approach enables systematic analysis of strategic adaptation over time. In addition to the theoretical framework, simulation results are presented to illustrate and validate the effectiveness of the method in converging toward mixed equilibrium. The findings highlight the potential of control-theoretic techniques in advancing game-theoretic learning models.

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Journal Info
Mikailalsys Journal of Mathematics and Statistics
Website

Abbrev

MJMS

Publisher

Lembaga Yasin Alsys

Subject

Engineering Mathematics Mechanical Engineering

Description

The journal contains scientific articles covering topics such as mathematical theory, statistical methods, the application of mathematics in various disciplines, and statistical data analysis. The primary objective of this journal is to promote a better understanding of mathematical and statistical ...