The resignation of Eric Shinseki, the now-former U.S. Secretary of Veterans Affairs, doesn’t solve the problem of an appallingly inefficient VA hospital system with long waiting times for treatment and deaths that happened while veterans waited for care. When should a leader resign, and when should he stay and clean up his mess? Should Shinseki (and President Obama) have resisted calls for his ouster, so that he could stay to address the problems?