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Prove that s 0 is surviving iewds iterated elimintation of

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?)

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Basic Computer Science: Prove that s 0 is surviving iewds iterated elimintation of

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