Abstract:

In this paper, suppose that the range of varying uncertain parameters is known, an approximation theorem for n-person non-cooperative games with uncertain parameters is investigated. Based on the idea of bounded rationality, we prove the approximation theorem of n-person non-cooperative games with uncertain parameters, which provides a theoretical support for solving algorithm of NS-equilibria. In addition, we verify the rationality of this conclusion through a specific example.

Key words: n-person non-cooperative games, uncertain parameters, bounded rationality, approximation theorem