Compute the nash equilibria of the following location game. there are two people who simultaneously select numbers between zero and one. suppose player 1 chooses s1 and player 2 chooses s2 . if si < sj , then player i gets a payoff of (si + sj )> 2 and player j obtains 1 − (si + sj )> 2, for i = 1, 2. if s1 = s2 , then both players get a payoff of 1> 2. make sure to explain why the nash equilibrium (if exists) is what it is.