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.