Prisonner's Dilemma in a Dynamic Game Theory
Gerald H Thomas
Milwaukee School of Engineering
Last modified: June 22, 2006
Using a recently proposed dynamic theory of games by one of the authors (Thomas), we analyze the prisoner's dilemma. The dynamic theory starts with classical game gheory but draws on the dynamic concepts, language and formalism of relativistic and electrodynamic theories of physics. Game theory provides the framework for what is meant by utility, strategy, and static equilibrium. Physical theories provide the framework for dynamics. The prisoner's dilemma is a simple example in which to study utility and self-interest. We find that the concepts of self-interest and other-interest behaviors are fundamental in a dynamic theory, corresponding to the analog of positive and negative charges. Player utility corresponds to flows along player value-choices and is either maximized or minimized depending on the player charge.