Are there any good ways to visualize Nash equilibria of a 4-d matrix?
I have created an game theory model which consists of of four players (P1; P2; P3; P4) who can all choose between a set of 27 different strategies(P1-1..27; P2-1..27; P3-1..27; P4-1..27). By comparing all the strategies to each other I have created a matrix composed of 4 columns and 27^4 rows, in which each row represents a different combination of strategies (e.g. row_297484: P1-16; P2-4; P3-2; P4-26). Depending on the input for my model I find between 30 and 60 Nash equilibria, which can thus be seen as a 4 dimensional coordinate system.
" found 34 Nash equilibria:
Nash coordinate ['G1-26', 'G2-2', 'G3-26', 'G4-26']: Nash coordinate ['G1-26', 'G2-2', 'G3-26', 'G4-27']: Nash coordinate ['G1-26', 'G2-2', 'G3-27', 'G4-26']: Nash coordinate ['G1-26', 'G2-2', 'G3-27', 'G4-27']: " " " " " " " " " etc. "
As I need to present this data in an attractive way in my Master thesis, I am looking for a way to accomplish this.
So does anyone know in what manner a 4d coordinate system can be visualized and presented on a 2d Master thesis? Any other ideas to present this would also be helpful. I promise that the winning tip will be named in the preface section of my thesis :) Anyway thanks for your help.