Nashpy
v0.0.30
Tutorial: building and finding the equilibrium for a game
How to
Discussion
Normal Form Games
Strategies
Best responses
Support enumeration
Vertex enumeration
Extensive Form Games
Repeated Games
The Lemke Howson Algorithm
Degenerate games
Fictitious play
Stochastic fictitious play
Replicator dynamics
Asymmetric replicator dynamics
Reference
Contributor documentation
Indices and tables
Nashpy
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Normal Form Games
Motivating example: Coordination Game
Definition of Normal Form Game
Definition of a Zero Sum Game
Examples of other Normal Form Games
Using Nashpy
Strategies
Motivating example: Strategy for Rock Paper Scissors
Definition of a strategy in a normal form game
Definition of support of a strategy
Strategy spaces for Normal form Games
Calculation of expected utilities
Linear algebraic calculation of expected utilities
Using Nashpy
Best responses
Motivating example: Best Responses in Matching Pennies
Definition of a best response in a normal form game
Generic best responses in 2 by 2 games
General condition for a best response
Definition of Nash equilibrium
Using Nashpy
Support enumeration
Motivating example: Coordination Game
The support enumeration algorithm
Using Nashpy
Vertex enumeration
Discussion
Extensive Form Games
Motivating example: A modification of the Coordination Game
Definition of an Extensive Form Game
Imperfect information
Definition of an information set
Definition of a strategy in an extensive form game
Equivalence of Extensive and Normal Form Games
Using Nashpy
Repeated Games
Motivating example: Repeated Coordination Game
Definition of a repeated games
Strategies in a repeated game
Equilibria in repeated games
Using Nashpy
The Lemke Howson Algorithm
Discussion
Degenerate games
Fictitious play
Discussion
Stochastic fictitious play
Discussion
Replicator dynamics
Discussion
Asymmetric replicator dynamics
Discussion
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