Suppose we have a game,
- there are 10 members of the class, and each member picks a number 0-100
- the average of the numbers that the classmates picked is taken i.e.- 9 + 67 + 44 + 23 + ... / 10
- the average is then multiplied by 2/3
- whoevers chosen number is closest to the number, "wins" the game (receives bonus points on a test)
Prove that s = 0 is surviving IEWDS (iterated elimintation of weakly dominated strategy. please display through proper mathematical proof (counter example?)