The example of a Nash equilibrium in A Beautiful Mind was completely wrong. A real Nash equilibrium assumes that no player regrets their strategy given the know

The example of a Nash equilibrium in A Beautiful Mind was completely wrong. A real Nash equilibrium assumes that no player regrets their strategy given the knowledge of everyone else's move. In the case of the Carol Syndrome (or the "solution" from A Beautiful Mind), the players will have plenty of reasons to want to change their initial strategy.