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Code that defines a very simple function entitled "TwobyTwoNashEquilibria" and uses simple algebra to compute the equilibria for a 2 by 2 bi-matrix game.
File: /tmp/tmpXNMwn5/___code___.py
Type: <type ‘function’>
Definition: TwobyTwoNashEquilibria(A, B=0)
Docstring:
Computes the Equilibria for a general 2 by 2 bi matrix game defined by (A,B)\in\mathbb{R}^{2\times2}\times\mathbb{R}^{2\times 2}. If B is omitted from input, a zero sum game is assumed.
Obtaining the equilibria strategies for: matching pennies
[(1/2, 1/2), (1/2, 1/2)]
Obtaining the equilibria strategies for: prisoner's dilemma
[(0, 1), (0, 1)]
Obtaining the equilibria strategies for the box kick game of this blog post.
[(5/17, 12/17), (2/17, 15/17)]