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For the next 3 questions, refer to the following tables, which represent the preferences the members of House Stark and House Lannister have for each other. Members of House Stark are named A, B, C, and D. Members of House Lannister are named 1, 2, 3, and 4. The tables are read from left to right. For example, Stark A likes Lannister 2 best and Lannister 4 least. Preferences of House Stark Preferences of House Lannister Suppose the Starks and Lannisters use the Deferred Acceptance method to find a complete and stable matching, with the Starks as the proposers and the Lannisters as the acceptors. In the first round, who will Lannister 1 receive proposals from? Select all that apply. B c No one Suppose the Deferred Acceptance method is carried out to completion with the Starks as the proposers and the Lannisters as the acceptors. Who is matched with Stark C? Lannister 4 Lannister 2 Lannister 3 Lannister 1 One of the Lannisters is upset that they didn't get their first choice of matches. They claim that if House Lannister were the proposers and House Stark were the acceptors, they would have gotten a better outcome. Is this claim true? Select the best option. Yes, because the Deferred Acceptance algorithm doesn't always generate a stable matching No, because there is only one complete and stable matching No, because it doesn't matter who the proposers and acceptors are in the Deferred Acceptance algorithm Yes, because the Deferred Acceptance algorithm produces proposeroptimal matching, which might be different from the acceptor-optimal matching