Players 1 and 2 are bargaining over how to split one dollar. Both players simultaneously name shares they would like to keep s_{1} and s_{2}. Furthermore, players' choices have to be in increments of 25 cents, that is, s_{1} ? {0, 0.25, 0.50, 0.75, 1.00} and s_{2} ? {0, 0.25, 0.50, 0.75, 1.00}. If s_{1}+s_{2} < 1, then player 1 gets s_{1} and player 2 gets s_{2}. If s_{1}+s_{2} > 1, then both players get 0.
(1) Write down the normal form of the game (the bimatrix of strategies and payoffs).
(2) Find the Nash Equilibria of this game.