Analyzing Applications of Game Theory in Modern Voting Systems and Their Impact on Fairness

1. Introduction 1.1 Definition of Game Theory 1.2 Overview of Modern Voting Systems 1.3 Importance of Fairness in Voting 2. Historical Background 2.1 Development of Game Theory 2.2 Evolution of Voting Systems 2.3 Case Studies in Fairness Issues 3. Game Theory Fundamentals 3.1 Basic Concepts and Theorems 3.2 Nash Equilibrium in Voting 3.3 Cooperative vs Non-Cooperative Games 4. Voting Systems Analysis 4.1 Major Voting Systems Explained 4.2 Strengths and Weaknesses Comparison 4.3 System Manipulation Tactics 5. Game Theory Applications 5.1 Strategic Voting Analysis 5.2 Coalitional Behavior in Elections 5.3 Predictive Models for Outcomes 6. Impact on Fairness 6.1 Definition of Fairness in Context 6.2 Game Theory's Role in Fairness 6.3 Case Studies of Improved Fairness 7. Ethical Implications 7.1 Evaluating Ethical Concerns 7.2 Impacts on Democratic Processes 7.3 Proposed Ethical Guidelines 8. Conclusion and Future Work 8.1 Summary of Key Findings 8.2 Limitations of Current Research 8.3 Directions for Future Studies