#18536: Solvers for constant sum games
-------------------------------------+-------------------------------------
       Reporter:  ptigwe             |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-6.8
      Component:  game theory        |   Resolution:
       Keywords:  Game Theory,       |    Merged in:
  Gambit, Zero-sum game Constant     |    Reviewers:  Karl-Dieter Crisman
  Sum Game, Normal Form Games        |  Work issues:
        Authors:  Tobenna P. Igwe    |       Commit:
Report Upstream:  N/A                |  a24c7dd1ebd473b679fe070c173e7c824138e3d2
         Branch:                     |     Stopgaps:
  u/ptigwe/gt_extension              |
   Dependencies:                     |
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Comment (by vinceknight):

 Hi both,

 Apologies for my silence (on organisation committee of a conference that
 has been running this week so have been pretty busy). Apologies also if as
 a result my comments below don't make full sense (in case I missed
 something).

 Replying to [comment:13 kcrisman]:
 > I cannot figure out how to get the changes in the doc built, it's
 maddening.  I'll have to assume it's okay and I didn't miss anything.
 >
 > The following could be improved, it really looks pretty meager.  Not
 necessarily for this ticket, as definitely pre-existing - Vince, I'll
 blame you for this :)
 > {{{
 > class NormalFormGame(SageObject, MutableMapping):
 >     r"""
 >     An object representing a Normal Form Game. Primarily used to compute
 the
 >     Nash Equilibria.
 >
 >     INPUT:
 >
 >     - ``generator`` - Can be a list of 2 matrices, a single matrix or
 left
 >                       blank.
 >
 >     """
 > }}}
 > It should at least tell how to get to more documentation from there.
 >

 This is certainly due to me, it happened as a result of moving the
 documentation that was there to the front matter, I think I perhaps did
 not fully understand :) Perhaps a ticket could be opened about the
 documentation (as Tobenna suggested towards the end of gsoc) that fully
 describes what we want the docs to look like :)

 Replying to [comment:17 ptigwe]:

 > > I think it's worth pointing out somewhere in the documentation that
 the LP approach will give ''one'' NE but not ''all'' of them, should there
 be more than one.  (Constant-sum games can have more than one NE, right?
 I guess the trivial game is an example.)
 > OK.

 I think it could be worth doctesting also? (So showing that all equilibria
 are find by some algorithms and not by LP etc...)

 Great work on this Tobenna, really looking solid and thanks to Karl for
 reviewing (as always this is greatly appreciated).

--
Ticket URL: <http://trac.sagemath.org/ticket/18536#comment:19>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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