Johan Richter (guest) meinte am 20. Oct, 00:01:
Isn't there more equilibrias?
Is not the following a Nash equillibrium?Player 1: Offer x=0.1
Player: Accept if x=0.1. Reject otherwise, even if x is larger than 0.1.
Given these strategies it does not pay for player 1 to offer anything else since in that case he would get nothing. It does not matter what strategy player 2 has when x<> 0.1 since it never happens so he can keep the current strategy.
Of course it is not sub-game perfect.
MephistoS antwortete am 20. Oct, 00:49:
Little hint concerning subgame perfection
Don't forget that we have an infinite strategy space. This makes subgame perfection tricky.
Henry Swift (guest) antwortete am 20. Oct, 12:09:
Right...there are more I hadn't considered. Lots more.