WATCHING PEOPLE PLAY GAMES
So far in this book we have been subjecting almost every theoretical proposition of game theory to scrutiny. The result has been a sequence of challenges and defences of the theory’s predictions about how rational people would play the games under study. What would be more natural then than to ask real people to play these games under controlled (laboratory) conditions so that we can observe their actual behaviour? Would this not cut through the maze of arguments surrounding the appropriateness of the various assumptions, such as CKR (Common Knowledge of instrumental Rationality), CAB (Common Alignment of Beliefs) and the resultant Nash equilibrium, the marriage of backward induction and CKR, as well as the initial assumption that players are exclusively instrumentally rational? Indeed our reflections on the assumptions of game theory are based on mental experiments of the sort: ‘How would I behave in this situation? What would I expect my opponent to do?’ Such introspection is a type of protoexperiment. Well-organised experiments involving many people is the next step.