Statistical Rationality and Equilibrium : A Theory of Statistical Games

Through building the statistical structure of game theory, this paper develops a paradigm of rationality and equilibrium to model collective and interactive behaviors for various economic ecologies from a perfect organizing corporation to a complete freedom population such as an anarchy. In addition to the employment of the theory of von Neumann-Morgenstern expected utility, this paper constructs a rational evaluation system for collective ecologies by introducing the postulates that a free behavior tends to be a uniform distribution. The equilibrium structure that is described by its properties of completeness, simplicity and efficiency, is examined through managing rational behavioral patterns of collective ecologies and their interactive mechanisms. The Pareto optimality of an equilibrium such as the cooperative solution to a game of prisoner's dilemma could be approached within a certain interactive mechanism