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       #Post#: 20--------------------------------------------------
       Mixed and pure strategy NE
   DIR By: Julia.Wirtz
       Date: November 22, 2012, 7:07 am
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       I'm posting a question I got per email and my answer:
       Question:
       Is it true to say that if the number of pure strategy NE is odd
       there is no mixed strategy NE, and if the number of pure
       strategy NE
       is even there is another mixed strategy NE?
       In solving the question 4. in problem set 1, I felt the above
       statement is true, but is it generally applied?
       Answer:
       This is not entirely true.
       - If there is NO pure strategy (PS) NE, there MUST be a mixed
       strategy
       (MS) NE .
       - If there are several PSNE, there will usually also be MSNE.
       This is
       also the case for 3 PSNE (or any other odd number).
       - I think, if there is only one PSNE, there is no additional
       MSNE. But
       maybe there could be exceptions that I'm not aware of  ???
       Better always check :)
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