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In the Parliamentary democracy there are three parties: Apple, Banana and Coconut. The Cabinet has two Ministries, Education and Finance. Each policy dimension assigned to

In the Parliamentary democracy there are three parties: Apple, Banana and Coconut. The Cabinet has two Ministries, Education and Finance. Each policy dimension assigned to these two ministries can be represented as a continuous line along two orthogonal dimensions ranging from 0 to 10. Assume that Education (E) can be depicted as the policy dimension along the horizontal axis and Finance (F) is the policy dimension along the vertical axis. There are three parties in the country: the Apple Party (A) whose ideal points are 9 in the Education policy dimension, and 8 in the Finance policy dimension. The Banana Party (B) whose ideal points lie on 4 along the Education policy dimension and 1 on Finance. Last, the Coconut Party (C) with ideal points 1 on Education policy and 3 on Finance. Assume that no single party has a majority of seats in Parliament, but any coalition of two parties, where each party controls one Ministry, would make a majority

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