#16333: Game Theory: Build class for normal form games as well as ability to
obtain
Nash equilibria
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Reporter: vinceknight | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: PLEASE CHANGE | Resolution:
Keywords: Game Theory, | Merged in:
Normal Form Games | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | 40b8b1662e7972059f24e48896d9786109bf388c
u/jcampbell/game_theory__build_class_for_normal_form_games_as_well_as_ability_to_obtain_nash_equilibria|
Stopgaps:
Dependencies: #16466, |
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Comment (by vinceknight):
Hi!
James has just pushed a pretty substantial piece of work. This creates a
`NormalFormGame` class that brings with it 3 algorithms to compute
equilibria:
1. LCP (a gambit algorithm)
2. lrs
3. A bespoke support enumeration algorithm (this is the slowest of
algorithms but allows users to find equilibria if the above two packages
aren't installed).
There is also a lot of documentation that has been written (and it builds!
:)). Finally, if it's of interest we're actively continuously testing this
by generating random games and trying all 3 algorithms. You can find a
bunch of plots (and the raw data) here: https://github.com/theref/sage-
game-theory.
--
Ticket URL: <http://trac.sagemath.org/ticket/16333#comment:22>
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