#18679: Deprecation of `maximization` within NormalFormGame
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   Reporter:  ptigwe       |            Owner:
       Type:  enhancement  |           Status:  new
   Priority:  minor        |        Milestone:  sage-6.8
  Component:  game theory  |         Keywords:
  Merged in:               |          Authors:  Tobenna P. Igwe
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 This ticket would be for the deprecation of the `maximization` parameter
 within the `NormalFormGame` class which is used be various functions when
 computing the Nash equilibrium. Some of the reasons include:

 1. Finding a Nash with `maximization=False` is equivalent to solving an
 instance with negative payoffs. So in the two player instance, one might
 as well create an instance of (-A, -B) that way, creating the same
 instances over and over when you want to compute equilibria using
 different algorithms.
 2. Technically, the game being represented isn't the game being solved. As
 a result, any further manipulations or computations which would need to be
 done on that instance, we would have to create the bimatrix (-A, -B)
 again.
 3. For n-players, this gets a little bit messier, as we would have to
 enumerate the exponentially large number of payoffs in the game so as to
 negate all of them.

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Ticket URL: <http://trac.sagemath.org/ticket/18679>
Sage <http://www.sagemath.org>
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