#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:                     |  fa2e5c1e380c6c42125e69748dcd3f8c71a6ef1d
  
u/vinceknight/game_theory__build_capacity_to_solve_matching_games_in_to_sage_|  
   Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by kcrisman):

 Hmm, I don't feel terribly strongly about this per se, but if it causes
 things to be equal that shouldn't, that's a problem.  How is the
 `loads(dumps(x)) == x` holding up with this?  Maybe one needs to have a
 warning of player equality being only name equality in that function's
 doc, anyway.

 As to the substantive change, I still am not happy.  For equality, you
 only check if the sets of players are the same
 {{{
                 and set(self._suitors) == set(other._suitors)
                 and set(self._reviewers) == set(other._reviewers)
 }}}
 but not whether their ordering is the same, but then check for the order
 (implicitly) here.
 {{{
 +                and all(r1.pref == r2.pref for r1, r2 in
 +                    zip(self._reviewers, other._reviewers))
 +                and all(s1.pref == s2.pref for s1, s2 in
 +                    zip(self._suitors, other._suitors)))
 }}}
 What about if the players are swapped?  Is it now a different game?  I
 don't know what the 'right' answer is but if the order matters, then it
 probably matters for the players too.  Plus it would end the comparison
 earlier - as soon as one `and` is `False`, it all is.

--
Ticket URL: <http://trac.sagemath.org/ticket/16331#comment:99>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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