Abstract: Uncertainty is introduced in generalized games is this paper. In the game, people's strategies are chteracted on each other, and can change the uncertain parameter variation range. What's more, payoff functions and feasible mappings of strategy are affected by uncertain parameters. This kindof game is defined by generalized games under generalized uncertainty. Further, NS equilibrium points in generalized games under generalized uncertainty are defined, and the existence theorem of NS equilibrium points is proved by mean of Fan-Glicksberg fixed point theorem. Finally, a numeric example is given to demonstrate the feasibility.

Key words: generalized games, generalized uncertainty, NS equilibrium, existence