Which actions remain after iterated elimination of strictly dominated actions? Is there a dominant strategy for either player? If yes, name it, if not, explain why.
player 2
[C] [NC]
[P] (2,10) (-2,0)
player 1
[NP](-10,-5) (0,0)
In my opinion, all survive the iterated elimination of strictly dominated strategies... For example, for player 2, NC is favorable if and only if player 1 plays NP. However, Player 1 won't play NP, because he won't risk to get -10 utility... So he would prefer to play P; in this case Player 2 would like to play C, instead of NC. It's very confusing for me... Am I right? If I am wrong, please tell me what's the right answer.
Thank you.