Beginner Level
Beginner Level: Detailed Subjects
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What is Game Theory?
Definition and significance
Real-world applications and relevance
History and Development
Key figures and milestones in game theory
Evolution of the field
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Players
Definition and examples
Role of players in different types of games
Strategies
What constitutes a strategy?
Pure vs. mixed strategies
Payoffs
Understanding payoffs and their representation
How payoffs influence player decisions
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Simultaneous Games
Definition and examples (e.g., Prisoner’s Dilemma, Battle of the Sexes)
Key characteristics and solution methods
Sequential Games
Definition and examples (e.g., Stackelberg competition, Chess)
Concepts like backward induction and subgame perfection
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Definition and Concept
Explanation of Nash equilibrium in simple terms
Importance and implications of Nash equilibrium
Finding Nash Equilibrium
Basic methods for identifying Nash equilibria (e.g., best response analysis)
Worked examples and step-by-step solutions
Examples
Simple and intuitive examples (e.g., Matching Pennies, Coordination Games)
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Definition
What is a dominant strategy?
Conditions for a strategy to be dominant
Examples
Games illustrating dominant strategies (e.g., Prisoner’s Dilemma)
Analysis of games with and without dominant strategies
Finding Dominant Strategies
Techniques for identifying dominant strategies in various games
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Introduction
What are mixed strategies and why are they used?
Differences between mixed and pure strategies
Basic Examples
Simple games involving mixed strategies (e.g., Rock-Paper-Scissors)
Calculating mixed strategy equilibria
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Real-World Examples
Application of game theory concepts in everyday situations (e.g., pricing strategies, auction design)
Case Studies
Simple case studies demonstrating the application of game theory in different contexts
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Practice Problems
A range of problems designed to reinforce understanding of key concepts
Step-by-step solutions for self-assessment
Interactive Simulations
Basic simulations allowing users to experiment with different strategies and see outcomes
Quizzes
Short quizzes to test knowledge and understanding of concepts
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Beginner — Extra Resources
Books
The Art of Strategy: A Game Theorist’s Guide to Success in Business and Life — Avinash K. Dixit & Barry J. Nalebuff (W. W. Norton, 2008)
The Evolution of Cooperation — Robert Axelrod (Basic Books, 1984)
The Strategy of Conflict — Thomas C. Schelling (Harvard University Press, 1960)
Supplementary Paper
4. Economics and Algorithmic Game Theory — Tanzila Akbar Ali (2017)