Suppose you are participating in a contest with many other p

Suppose you are participating in a contest with many other people. You must each choose a real number between 0 and 100 (endpoints permitted). The winner of the contest will be the person who has the chosen number closest to two-thirds of the average submission. In the event of a tie, the contest payoff will be split equally between the tying contestants.

Describe the set of dominated strategies in this game.

Solution

For this case, the dominated stratergies become, 2/3rd of avg. considering n no. Of participants and the random selection of values (n>>100) the avg value can be thought of as 50.

So 2/3rd = 33.33. This the set of dominated stratergies is (33,34)