Study On Signalling Cost And Separating Equilibrium In Signalling Games And Nash Equilibrium

Game theory is a distinct and interdisciplinary approach to the study of human behavior. The disciplines most involved in game theory are mathematics, economics and the other social and behavioral sciences. Since Game theory (like computational theory and so many other contributions) was founded by the great mathematician John von Neumann, it is attached importance to day and day. There are four chapters work on it.In the first chapter,we first give a necessary and sufficient condition of pure strategy Nash equilibrium in finite static games, and then give a distinguishing method for pure strategy Nash equilibrium existence in finite static games. Under distinguishing pure strategy Nash equilibrium existence, we give the method for pointing out all pure strategy combinations which are pure strategy Nash equilibrium.In the second chapter,we first give a necessary and sufficient condition of pure strategy Nash equilibrium in finite static games, and then give a distinguishing method for pure strategy Nash equilibrium existence in finite static games. Under distinguishing pure strategy Nash equilibrium existence, we give the method for pointing out all pure strategy combinations which are pure strategy Nash equilibrium.In the third chapter,linear-quadratic bilevel programming problem is studied. The very efficient algorithm is proposed based on that the inducible region...