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Economics
Foundational Economics
Game Theory
1. Introduction to Game Theory
2. Fundamental Elements of Games
3. Game Classification and Representation
4. Solution Concepts for Static Games
5. Classic Static Games
6. Dynamic Games and Sequential Decision-Making
7. Games with Incomplete Information
8. Cooperative Game Theory
9. Mechanism Design and Implementation
10. Evolutionary Game Theory
11. Behavioral Game Theory
12. Applications Across Disciplines
Solution Concepts for Static Games
Dominance Relations
Strict Dominance
Definition and Properties
Identification Methods
Elimination Process
Weak Dominance
Definition and Properties
Comparison with Strict Dominance
Elimination Considerations
Iterated Elimination of Dominated Strategies
IESDS Process
Order Independence
Rationalizability
Dominance Solvable Games
Unique Solution
Predictive Power
Nash Equilibrium
Conceptual Foundation
Mutual Best Response
Self-Enforcing Property
Strategic Stability
Mathematical Definition
Best Response Functions
Fixed Point Property
Formal Characterization
Pure Strategy Nash Equilibrium
Existence Conditions
Uniqueness Issues
Finding Methods
Inspection Method
Best Response Analysis
Graphical Methods
Mixed Strategy Nash Equilibrium
Randomization Rationale
Indifference Conditions
Support Determination
Calculation Techniques
Properties of Nash Equilibrium
Existence Theorems
Multiplicity Issues
Efficiency Properties
Refinements
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3. Game Classification and Representation
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5. Classic Static Games