Without Completely Rational Evolutionary Game Theory And Its Applications

Game theory, mainly studies all relative of the main body of the behavior decision-making behavior in interaction and mutual influence assumptions, rational behavior subject how to make decisions, and the decision-making problem such as the balance of the theory. Game refers to an individual or organization, facing certain environmental conditions, in certain rules constraints, rely on by the master of information, from their choice behavior or strategy selection and implement, and from their respective obtain corresponding results or earnings process, a study has struggle or competitive nature phenomenon of mathematical theory and method, also is one of the important subjects-- Operational research. Game theory research players prediction ability, actual behavior choice between them and the optimal choice. It is also specialized study how both parties appear balanced game rules of discipline, is the study of competitive nature phenomenon, the theory and methods of is the application of a branch of mathematics and is currently in biology, economics, politics, computer science, military strategy and many other disciplines are widely used. And evolutionary game theory combined with classic game theory and the ecological theory research result, with the limited rational participants group as the research object, by using the dynamic analysis of the influence of various factors participants behavior into the model, and in the system view to investigate the evolutionary tendency group behavior.Based on the game square imperfect rationality and appropriate assumptions, reference describing biological population-based evolution "replicated dynamic" thinking, this paper comes from three notions group bureau of human evolution game are studied, and established the tripartite game replicated dynamic system, and using universal model of dynamic system theory to their stability analysis, obtained the perfect result, finally simulated by using the model of college students' honesty examination view of operational mechanism, reasonable game to solve the trilateral cooperation problem. This topic is the study of the tripartite evolutionary game a new exploration.This research contents include:the first chapter introduces the origin and meaning of this topic, and evolutionary game theory, the development and current situation analysis and the main work. The second chapter to game basic theory and NASH equilibrium theory simply introduces. The third chapter in the evolutionary game theory established on the basis of the tripartite evolutionary game replicated dynamic system and conducted a evolutionary stable strategy analysis.The fourth chapter in view of the current college testing credit status established teacher-student game replicated dynamic system, and its evolutionary stable strategy ESS analysis, proposed and proved in university, teachers and students into among evolutionary game in eight conclusions, the full text of summary.