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#Post#: 33--------------------------------------------------
Q4 g and j
DIR By: Federico_Trombetta
Date: November 27, 2012, 3:31 am
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Hi!
I'm not sure I understand the solution for games g and j in
question 4.
In particular: what is "the a minor extension" for game g?
Finally, I'm probably wrong but I see a contraddiction in the
solution for j: at the beginning we delete column 3 because it's
strictly dominated if column player mixes between 2 and 4 with
probability q > 5/7.
Then we delete the bottom row and we discover that now column 2
is strictly dominated by 4.
Fine. But this means that the player is not going to choose
column 2, so the probability we assign to this column is now 0.
But 0 < 5/7, so we cannot say that column player mixes between 2
and 4... Isn't it a contraddiction?
Thank you very much!!!
Federico
#Post#: 35--------------------------------------------------
Re: Q4 g and j
DIR By: Julia.Wirtz
Date: November 27, 2012, 5:57 am
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For (g), maybe my reply below (Topic Q4) helps?
For (j)
No, that's not a problem. The point of ITERATED elimination of
strictly dominated strategies is exactly that:
- you find a strategy that's strictly dominated by ANY other
strategy -> it will never be played by a rational player -> get
rid of it
- you do not have to worry about strategies that you have
eliminated at an earlier point
- it doesn't matter if you won't play the dominating strategy in
the end in equilibrium
Here specifically, you'll see that column 3 will be SD by 4
alone now (after having eliminated the bottom row), so you don't
have to worry about column 2 now. It was only necessary in the
first place to get rid of column 3, before you could delete the
bottom row.
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