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Apprentice Mode
10 Modules / ~100 pages
Wizard Mode
~25 Modules / ~400 pages

Cooperative and Non-Cooperative Games
( 25 Modules )

Module #1
Introduction to Game Theory
Overview of game theory, its importance, and applications
Module #2
Types of Games
Classification of games:cooperative, non-cooperative, symmetric, and asymmetric
Module #3
Game Theory Notations and Concepts
Introduce basic notations and concepts:players, strategies, payoffs, and Nash equilibrium
Module #4
Two-Player Zero-Sum Games
Analysis of 2x2 and NxN zero-sum games, and the concept of saddle points
Module #5
Non-Cooperative Games:Dominance and Iterated Elimination
Dominant and dominated strategies, and iterated elimination of dominated strategies
Module #6
Nash Equilibrium
Definition, existence, and uniqueness of Nash equilibrium in non-cooperative games
Module #7
Mixed Strategies
Definition and examples of mixed strategies, and their role in Nash equilibrium
Module #8
Prisoners Dilemma
Classic example of a non-cooperative game, and its implications
Module #9
Coordination Games
Analysis of coordination games, including the stag hunt and battle of the sexes
Module #10
Signaling Games
Introduction to signaling games, including the Spence job market model
Module #11
Screening Games
Analysis of screening games, including the Rothschild-Stiglitz model
Module #12
Introduction to Cooperative Games
Definition and characteristics of cooperative games, and the concept of coalitions
Module #13
Coalitional Form Games
Analysis of coalitional form games, including the characteristic function
Module #14
Core and Stable Sets
Definition and analysis of the core and stable sets in cooperative games
Module #15
Shapley Value
Definition and calculation of the Shapley value, and its properties
Module #16
Nucleolus
Definition and calculation of the nucleolus, and its properties
Module #17
Bargaining Games
Analysis of bargaining games, including the Nash bargaining solution
Module #18
Coalition Formation
Analysis of coalition formation, including the concept of farsightedness
Module #19
Cooperative Games with Transferable Utility
Analysis of cooperative games with transferable utility, including the Owen value
Module #20
Cooperative Games without Transferable Utility
Analysis of cooperative games without transferable utility, including the Harsanyi solution
Module #21
Applications of Cooperative Games
Real-world applications of cooperative games, including environmental economics and social networks
Module #22
Computational Methods for Games
Introduction to computational methods for solving games, including linear programming and dynamic programming
Module #23
Evolutionary Game Theory
Introduction to evolutionary game theory, including the concept of evolutionarily stable strategies
Module #24
Behavioral Game Theory
Introduction to behavioral game theory, including the concept of cognitive biases and heuristics
Module #25
Course Wrap-Up & Conclusion
Planning next steps in Cooperative and Non-Cooperative Games career


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