In: Economics
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.