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.