Game Theory in Binary Classification: A Nash Equilibrium Decision Tree Model

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Date

2025

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Journal ISSN

Volume Title

Publisher

ummto.faculté des sciences

Abstract

In this thesis, we present the method in [13] which combines game theory and machine learning to develop a new decision tree model for binary classification, called the Nash Equilibrium Decision Tree (NE-DT). Unlike standard decision trees, NE-DT treats the splitting process as a game between two players (left and right branches), where each tries to best separate the data. The Nash equilibrium is a key concept in game theory ,is used to find the optimal split, improving accuracy and robustness. The work explains basic game theory and machine learning concepts, then details the NE-DT algorithm with clear mathematical steps. A simple example using the Iris dataset shows how the model works in practice. The results prove that NE-DT effectively separates classes while being easy to understand.

Description

61f.;ill:30cm

Keywords

Game theory, Nash equilibrium, Decision trees, Binary classification, Machine learning

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