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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Problem Statement
1.3 Purpose of the Study
1.4 Objectives of the Study
1.5 Significance of the Study
1.6 Definition of Terms
1.7 Limitations of the Study
1.8 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Combinatorial Game Theory
2.2 Impartial Games
2.3 Nim Game
2.4 Previous Studies on Nim and Impartial Games

Chapter 3: Research Methodology
3.1 Data Collection Methods
3.2 Data Analysis Methods
3.3 Research Design
3.4 Sampling Techniques
3.5 Tools and Instruments Used

Chapter 4: Discussion of Findings
4.1 Analysis of Nim Game Strategies
4.2 Comparison of Impartial Games
4.3 Evaluation of Winning Strategies
4.4 Implications for Game Theory

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Recommendations for Future Research
5.4 Implications for Game Theory

Brief Overview:
The thesis on Combinatorial Game Theory: Impartial Games and Nim explores the concepts of impartial games and the popular mathematical game Nim. The study aims to analyze and compare various strategies used in Nim and other impartial games, with a focus on identifying winning strategies and their implications for game theory. The research methodology includes data collection and analysis methods, research design, and sampling techniques. The discussion of findings will provide an in-depth analysis of Nim game strategies, comparison of impartial games, and evaluation of winning strategies. The conclusion will summarize the findings, provide recommendations for future research, and discuss the implications for game theory. Overall, this thesis contributes to the understanding of combinatorial game theory and its applications in game analysis and strategy development.

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