The brain is a human organ responsible for processing external and internal information and deciding how to respond to new information. One of many fascinating capabilities of the brain is an ability to make decisions even when not all objectively necessary information is available. This chapter presents a brief review of selected findings from both literatures. Functional magnetic resonance imaging studies of judgment and decision making under uncertainty have provided some insights into how the brain processes incomplete information when making decisions, although more questions remain unanswered than answered. Multistability occurs when a stimulus produces alternations among different interpretations of the stimulus. For over two centuries, multistability has inspired entire research programs on visual perception. The phenomenology of multistability raises two chief observations: The apparent stability of the temporarily dominant percept, and the instability of that dominance.