Game theory as a theoretical and empirical approach to interaction has spread from economics to psychology, political science, sociology and biology. Numerous social interactions-foraging, talking, trusting, coordinating, competing-can be formally represented in a game with specific rules and strategies. These same interactions seem to rely on an interweaving of mental selves, but an effective strategy need not depend on explicit strategizing and higher mental capabilities, as less sentient creatures or even lines of software can play similar games. Human players are distinct because we are less consistent and our choices respond to elements of the setting that appear to be strategically insignificant. Recent analyses of this variable response have yielded a number of insights into the mental approach of human players: we often mentalize, but not always; we are endowed with social preferences; we distinguish among various types of opponents; we manifest different personalities; we are often guided by security concerns; and our strategic sophistication is usually modest.