One central issue tackled in epistemic game theory is whether for a general class of strategic games the solution generated by iterated application of a choice rule gives exactly the strategy profiles that might be realized by players who follow this choice rule and commonly believe they follow...

The issue of the order dependence of iterative deletion procedures is well known in the game theory community, and conditions on the dominance concept underlying these procedures have meanwhile been detected which ensure order independence (see, e.g., the criteria of Gilboa et al. (1990) and Apt...