Abstract
This paper presents a method for numerical computation of Nash equilibria in finite games with more than 3 x 3 bimatrix. An analytical method for finding Nash equilibria for 2 x 2 bimatrix game is well-know, and Shapley's labeling method was presented for 3 x 3 bimatrix games. However, the labeling method is so complicated that it can not be applied for more than 3 x 3 games in general. In this paper, we implemented the labeling method on computers and succeeded in identifying Nash equilibria for any 3 x 3 bimatrix game numerically within a fairly short time and with practically-enough precision. Using this method it's possible to find equilibria in more than 3 x 3 bimatrix games.
