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       #Post#: 21--------------------------------------------------
       NE and strictly dominated strategies
   DIR By: Julia.Wirtz
       Date: November 22, 2012, 7:09 am
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       I'm posting a question I got per email and my answer:
       Question
       1) Can I solve NE as combinations of Best Response instead of
       using
       iterative elimination of (strictly) dominated stratedies?
       In Prof. Muthoo's lecture, we found NE using iterative
       elimination of
       dominated strategies, but if the solution is the same, I think
       it's
       more to use BR to find pure strategy NE.
       2) When we solve mixed strategy NE in a game which have more
       than
       two players (e.g. 3×3, 4×4), can I eliminate strictly dominated
       strategies first before setting probability which make the other
       player's strategies equivalent?
       In solving (j) in the question 4., I solved it like that.
       Otherwise, I
       think we have to use linear programming to solve 3×3 or 4×4
       games.
       Answer
       1) Yes, that's the easiest way for PSNE
       However, if you have a large game and are looking out for MSNE,
       it
       helps to eliminate STRICTLY dominated strategies, since it makes
       the
       game easier and STRICTLY dominated strategies will never be part
       of a
       MSNE
       Do not eliminate WEAKLY dominated strategies, since they could
       be part of a NE
       2) yes (see above), but note that in (j) you only have 2 players
       with 4 ACTIONS each
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