#16331: Game Theory: Build capacity to solve matching games in to Sage.
-------------------------------------+-------------------------------------
       Reporter:  vinceknight        |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.4
      Component:  game theory        |   Resolution:
       Keywords:  Game Theory,       |    Merged in:
  Matching Games,                    |    Reviewers:  Karl-Dieter Crisman,
        Authors:  Vince Knight,      |  Travis Scrimshaw
  James Campbell                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  f9388c72ebdefe9ada87f45eb93bc8e33e0bc67b
  
u/vinceknight/game_theory__build_capacity_to_solve_matching_games_in_to_sage_|  
   Stopgaps:
   Dependencies:                     |
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Comment (by vinceknight):

 Replying to [comment:133 kcrisman]:
 > > > {{{
 > > >                  and all(r1.pref == r2.pref for r1, r2 in
 > > >                      zip(set(self._reviewers),
 set(other._reviewers)))
 > > > }}}
 > > > Doesn't ''this'' rely ultimately on `set` ordering things as well?
 (Which I don't thin it does.) I'm not trying to annoy - this is really a
 very minor point at this point, though should be resolved.  Anyway,
 everything else seems quite fine - currently running tests.
 > > I did panic here for a bit but I think it's actually ok. The
 discrepancies in sorting do not happen on a single system: the differences
 are between two different systems so the way things are sorted on any
 given Sage session will be the same, right?
 >
 > What I meant was that when comparing preferences, it sort of assumes
 that the ordering of the reviewers in the two games will be the same,
 relative to their preferences.
 >
 > But I think this is okay, because you are only suggesting things be
 equal if the names are the same, so that e.g. suitors can be added in a
 different order, but you would only have the games be the same if the
 names and preferences for that name corresponded, not if the games are
 ''isomorphic''.  Am I right?

 Yeah that's correct (if I'm understanding correctly): the equality is
 based only on the names (which is because of the underling `sort`
  methods that the players now have).

--
Ticket URL: <http://trac.sagemath.org/ticket/16331#comment:134>
Sage <http://www.sagemath.org>
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