In the following game, determine the maximum amount you would be willing to pay for the privilege of moving (a) first, (b) second, or (c) third: There are three players, you and two rivals. The player announcing the largest integer gets a payoff of $10, that announcing the second largest integer gets $0, and that announcing the third largest integer gets $5.
a) Maximum amount you would be willing to pay to go first: $
b) Maximum amount you would be willing to pay to go second: $
c) Maximum amount you would be willing to pay to go third: $