I'm reading a Structural Models of Nonequilibrium Strategic Thinking: Theory, Evidence, and Applications by Crawford, Costa-Gomes and Iriberri. They write the following:
In two-person games, a player can find his set of k-rationalizable strategies via k rounds of iterated strict dominance, without the need for fixed-point reasoning. Thus, k-rationalizability is cognitively less taxing than equilibrium, especially for small k.
K rationalizable strategies are those that survive k-rounds of iterated strict dominace (for n=2 player games). For n >2, k-rationalizable strategies are those that survive k-rounds of iterative never best response elimination.
What is meant by fixed point reasoning here? Is there a difference between fixed point reasoning and iterative never-best-response elimination?
Relevant section is Section 2.2 found on page 12.