97-F-39. Kaneko, Mamoru and Akihiko Matsui, "Inductive Game Theory: Discrimination and Prejudices", December 1997.

This paper proposes a new theory, which we call inductive game theory. In this theory, the individual player does not have a priori knowledge of the structure of the game which he plays repeatedly. Instead, he accumulates experiences induced by occasional random trials in the repeated play. A stationary state is required to be stable against intentional deviations based on his experiences, and then it turns out to be a Nash equilibrium. The main part of the paper is the consideration of possible individual views on the society based on individual experiences. This view is defined to be a model of the society which the player builds from his experiences. Two coherency conditions with active and passive experiences are required for a model. As concrete objects of the theory, this paper analyzes the phenomena of discrimination and prejudice. The development of the new theory is undertaken by contrasting observational and behavioral aspects with mental and judgemental aspects of the new theory. The relationship between discrimination and prejudice will emerge in this dichotomous consideration.