7. Consider a guessing game with ten players, numbered 1 through 10. Simultaneously and independently, the players select integers between 0 and 10. Thus player i's strategy space isS; = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, for i = 1, 2, .. ., 10. The payoffs are determined as follows: First, the average of the players' selections is calculated and denoteda. That is, Sit s2 + . . . + 510 a = 10 where s; denotes player i's selection, for i = 1, 2, . .., 10. Then, player i' spayoff is given by u; = (a - i - 1)s . What is the set of rationalizable strategies for each player in this game