Now, both the surprise exam argument and the backwards induction in the centipede game are problematic.
The foolishness is glaring in the case of finitely iterated prisoners' dilemmas or centipede games.
The centipede game and its backwards induction are just, of course, a particular instance of this.
Sad to say, there are quite a few grammaticallydistracted centipedes in the world.
In the final section of the paper, the lessons learned from this analysis are applied to backwards induction in the centipede argument, and to game theory in general.
If the induction worked in the general case, it would work in the particular case of the centipede game + which, as we have seen, it does not.
I do not want to be thought to treat this in any way lightheartedly, but the lines about the centipede really are relevant.
I hope that it is a cycle, not a centipede.