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2. Fellows of a scientic society have to vote on three alternative new policies that have been put forward concerning its membership and joumal. There

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2. Fellows of a scientic society have to vote on three alternative new policies that have been put forward concerning its membership and joumal. There are n 2:- 10 fellows who vote on the new policies: an ambitious {a}, a bold (b), and a considerate {c} policy. Every fellow has strict preferences over these policies and is asked to vote for a subset of the three policies (one, two, or all three policies). One of the policies will be selected by using a rule which assigns a scoreto each policy corresponding to the total number of votes for the policy. The policy with the highest score is selected. If the highest total score is not unique then a uniform random lottery is used to break the tie and determine the new policy. Identify all weakly and strictly dominated actions in this game

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