UsefulLinks
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
4.
Solution Concepts for Static Games
4.1.
Dominance Relations
4.1.1.
Strict Dominance
4.1.1.1.
Definition and Properties
4.1.1.2.
Identification Methods
4.1.1.3.
Elimination Process
4.1.2.
Weak Dominance
4.1.2.1.
Definition and Properties
4.1.2.2.
Comparison with Strict Dominance
4.1.2.3.
Elimination Considerations
4.1.3.
Iterated Elimination of Dominated Strategies
4.1.3.1.
IESDS Process
4.1.3.2.
Order Independence
4.1.3.3.
Rationalizability
4.1.4.
Dominance Solvable Games
4.1.4.1.
Unique Solution
4.1.4.2.
Predictive Power
4.2.
Nash Equilibrium
4.2.1.
Conceptual Foundation
4.2.1.1.
Mutual Best Response
4.2.1.2.
Self-Enforcing Property
4.2.1.3.
Strategic Stability
4.2.2.
Mathematical Definition
4.2.2.1.
Best Response Functions
4.2.2.2.
Fixed Point Property
4.2.2.3.
Formal Characterization
4.2.3.
Pure Strategy Nash Equilibrium
4.2.3.1.
Existence Conditions
4.2.3.2.
Uniqueness Issues
4.2.3.3.
Finding Methods
4.2.3.3.1.
Inspection Method
4.2.3.3.2.
Best Response Analysis
4.2.3.3.3.
Graphical Methods
4.2.4.
Mixed Strategy Nash Equilibrium
4.2.4.1.
Randomization Rationale
4.2.4.2.
Indifference Conditions
4.2.4.3.
Support Determination
4.2.4.4.
Calculation Techniques
4.2.5.
Properties of Nash Equilibrium
4.2.5.1.
Existence Theorems
4.2.5.2.
Multiplicity Issues
4.2.5.3.
Efficiency Properties
4.2.5.4.
Refinements
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3. Game Classification and Representation
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5. Classic Static Games