Bernheim (1984) and Pearce (1984) showed that rationalizable strategies—not just Nash equilibria—are the proper solution concept under CKR, making the boundary IESDS draws theoretically load-bearing.
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Nash equilibria(as an alternative solution concept being compared)
A situation in a strategic game where each player has chosen their best move given what everyone else is doing, so no player wants to change their choice. It's named after mathematician John Nash.
Rationalizable strategies(as a solution concept in game theory)
In a game or decision-making situation, a strategy is 'rationalizable' if it's something a reasonable player might do based on what they believe other players will do—even if it's not the absolute best move.
solution concept(Game theory)
A characterization of how a strategic game is 'solved'; Nash equilibrium is sometimes called a solution concept because it identifies the steady states of strategic interaction