A total of 10 players are each choosing a number from 012345

A total of 10 players are each choosing a number from {0,1,2,3,4,5,6,7,8}. If a player\'s nubmer equals exactly half of the average of the numbers submitted by the other nine players, then she paid $100; otherwise, she is paid 0. Solve for the strategies that survive the IDSDS.

Solution

Probability = 9 / 10

10-P(n)= 1/2 x 36

P(n)=28

Actual probability= 0/10+2x1/10+3x2/10+4x3/10+5x4/10+6x5/10+7x6/10+8x7/10+9x8/10

= 23

Therefore,

P=28-23=5

P=5

By,

Nishant Bhatt