Interpretation of Solution Concepts I was wondering whether there is a neat overview over different interpretations of game theoretic solution concepts such as Nash equilibrium, Sequential Equilibrium and the like.

Textbooks I found incredibly lacking in this respect (they have the tough job of getting the mathematical definitions across). Often, for Nash equilibria they allude to some "consistency" or "steady state".

My question is therefore both a reference request and perhaps a call to create a nice overview over different interpretations of equilibrium concepts in game theory. If you feel this question is too broad, it may make sense to narrow it to Nash equilibria.
One reason why there exists no ultimate overview is that these issues are still under debate. A great entry point would be the survey "Foundations of Strategic Equilibrium" by John Hillas and Elon Kohlberg in Volume 3 of the Handbook of Game Theory with Economic Applications. A preprint version of the survey can be found here.