Abstract.
Inductive game theory has been developed to explore the origin
of beliefs of a person from his accumulated experiences of a game
situation. So far, the theory has been restricted to a person's
view of the structure not including another person's thoughts. In
this paper, we explore the experiential origin of one's view of the
other's beliefs about the game situation. We restrict our exploration
to a 2-role (strategic) game, which has been recurrently played by
two people who occasionally switch roles. By switching roles, each
person accumulates experiences of both roles and these experiences
become the source of his transpersonal view about the other. Reciprocity
in the sense of role-switching is crucial for deriving his own and the
other's beliefs. We consider how a person can use these for his behavior
revision, and we define an equilibrium called an intrapersonal
coordination equilibrium. Based on this concept, we show that
cooperation will emerge as the degree of reciprocity increases.
The work is joint with J. Jude Kline.
Relevant Papers.
-
Kaneko, M. and J. J. Kline, Inductive Game Theory: A Basic Scenario,
in Journal of Mathematical Economics 44 (2008), 1332-1363.
-
Kaneko, M. and J. J. Kline, Information Protocols and Extensive Games in
Inductive Game Theory , in Game Theory and Applications 13,
(2008), 57-83.
-
Kaneko, M. and J. J. Kline, Partial Memories, Inductively Derived Views,
and their Interactions with Behavior , revised, September 2009.