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...

suppose we have a game,

1. there are 10 members of the class, and each member picks a number 0-100
2. the average of the numbers that the classmates picked is taken i.e.- 9 + 67 + 44 + 23 + ... / 10
3. the average is then multiplied by 2/3
4. 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?)

Don't even know where to start!! Would greatly appreciate showing the steps. Thank you!

Kind regards,

j