Suppose that there are three voters with a < a? < a, and three possible unidimensional...

 

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Suppose that there are three voters with a < a? < a°, and three possible unidimensional policies q1 < q2 < q3. Construct the preferences of the voters over the policies {q;}j=1,2,3 such that: a. [1 pts] both single peaked preferences and single crossing property are satisfied. Also, verify the Condorcet winner. b. [3 pts] both single peaked preferences and single crossing property are violated and there is no Condorcet winner. Please verify that there is no Condorcet winner. c. [4 pts] both single peaked preferences and single crossing property are violated but there is a Condorcet winner. Also verify the winner. Suppose that there are three voters with a < a? < a°, and three possible unidimensional policies q1 < q2 < q3. Construct the preferences of the voters over the policies {q;}j=1,2,3 such that: a. [1 pts] both single peaked preferences and single crossing property are satisfied. Also, verify the Condorcet winner. b. [3 pts] both single peaked preferences and single crossing property are violated and there is no Condorcet winner. Please verify that there is no Condorcet winner. c. [4 pts] both single peaked preferences and single crossing property are violated but there is a Condorcet winner. Also verify the winner.

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