Nash Equilibria in 3×3 Games
Nash Equilibria in 3×3 Games
The lower part of the result identifies the Nash equilibria of this game with a sequence of numbered grids containing three pieces of data: (1) an index of the Nash equilibrium in question; (2) a simplex showing the probability that the red player will play strategy 1 or strategy 2; and (3) a simplex showing the probability that the blue player will play strategy 1 or strategy 2. The residual probabilities that each player will play strategy 3 can be calculated from this data. You can transfer wealth between players for each strategy combination or decrease the total wealth available from each strategy combination to see how these modifications of the game affect the Nash equilibria.