Predictive incapacity and rational decision

Even agents possessed of free will must—if rational—be substantially predictable. However, there will be some situations where the act-choices of rational agents will not be predictable—for example, in circumstances of underdetermination due to insufficient information. And moreover, unpredictability can also result in situations of analysis overdetermination that arise when equally cogent analyses yield disparate results, as in the example of Dr. Psychic Psycho. The Prisoner's Dilemma affords yet another instance of this. Clearly, when determination fails even after rationality has had its say, then rationality's predictive power is exhausted! Fortunately, however, that does not mean that our human resources of issue-resolution are at the end of their tether.