Existence And Well-posednses Of Weakly Pareto-nash Equilibrium Points For Uncertainty Sets Generalized Multiobjective Games

Recently, the research of generralized multiobjective game is a useful way to study reality game problems. In the study of generralized multiobjective game,well-posedness of the equilibrium becomes the important research subject.In the actual problem, because of incomplete information, the Information sets generalized multiobjective games model is established by introducing information sets to the generalized multiobjective games, and it is presented that generalized multiobjective games definition.So in this thesis, according to new development reality, and improved the game theory model, definition and prove the existence of the equilibrium and well-posedness.In chapter one, Game theory, and the weak Pareto- the existence of Nash equilibrium and the research situation of well-posedness.In chapter two, Firstly it introduces the information multi-objective generalized multiobjective game some basic concepts and the weak Pareto- Nash equilibrium existence theorem. Secondly it considers the information multi-objective multiobjecti ve game weak e-Pareto- Nash equilibrium existence theorem.Lastly it considers the new information multi-objective generalized multiobjective game weak Pareto- Nash equilibrium existence theorem.Inchapter three, Information sets generalized multiobjective games gives the Tykhonov well-posedness, Hadamard well-posedness,Levitin-Polyakwell-posedness...