Consider the following Guessing Game. There are n = 10 players simultaneously choosing a number in {1, 2, 3}. The winners are those closest to 1/2 the average guess (they evenly split the prize between the winners if there is more than one). Find the set of rationalizable strategy profiles. Justify your answer.

please no handwriting and this course about game theory (topic Rationalizability) answer with all steps, please