3. Simpler Beauty Contest: Censider the versien cf the Beautyr Contest game from the class, in which the players are trying te guess the average

p? 3. Simpler Beauty Contest: Consider the version of the Beauty Contest game from the class, in which the players are trying to guess the average guess minus one. More precisely, the utilities now are: ui (si ; sj ) = jsi (s 1)j, where s = X j2I sj=#I (a) Which strategies are strictly dominated in this game, and by which alternative strategies? And so, what is the set of strategies BR1 (b) What is the set BR2 i ? What is the set BRn i for any n > 0?