# Question: from another textbook osborne 1172 each of p1 and p2...

###### Question details

(from another textbook, Osborne #117.2): Each of P1 and P2 chooses an integer from the set {1,2,....K}. If they choose the same integer, P1 gets +1 and P2 gets -1; if they choose different integers, P1 gets -1 and P2 gets +1.

(a) Show that it is a NE for each player to choose every integer in {1,2,...K} with equal probability, 1/K.

(b) Show that there are no NE besides the one you found in (a).