Useful Links
Mathematics
Game Theory
Game Solutions
Nash Equilibrium
Definition and Intuition
Explanation of concept
Importance in predicting game outcomes
Existence
Conditions for existence
Brouwer's Fixed Point Theorem
Uniqueness
Conditions under which Nash equilibrium is unique
Implications of multiple equilibria
Mixed Strategies
Definition of mixed strategies
Application in games with no pure strategy equilibrium
Mixed Nash Equilibrium
Explanation and significance
Calculating mixed equilibria
Dominant Strategy Equilibrium
Definition and Understanding
Concept of dominant strategy
Implications of dominant strategies in games
Existence and Identification
How to identify dominant strategy equilibria
Examples of games with dominant strategies
Pareto Efficiency
Concept of Pareto Optimality
Definition of Pareto efficient outcomes
Relation to social welfare
Pareto Efficiency in Games
Identifying Pareto optimal outcomes
Use in cooperative and non-cooperative contexts
Subgame Perfect Equilibrium
Understanding Sequential Games
Definition and importance of extensive forms
Identifying subgames
Definition and Calculation
Backward induction process
Importance in perfect information games
Bayesian Nash Equilibrium
Games with Incomplete Information
Definition and challenges
Types of information asymmetries
Bayesian Games
Representation of beliefs and types
Role of Bayes' rule in deriving equilibria
Applications in economic and strategic settings
2. Types of Games
First Page
4. Important Game Theoretical Models