A government and a court interact with each other to determine the policy out- come. Policies...

 

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A government and a court interact with each other to determine the policy out- come. Policies are real numbers and the status quo policy is 0. The government and the court both have symmetric, single-peaked preferences, each player has an ideal policy > 0, but the exact value of each player's ideal policy is her/his private information. For each of the following mechanisms, answer whether it satisfies (i) Checks and Balances; (ii) Strategy-proofness; (iii) Efficiency; (iv) Responsiveness; (v) Anonymity (Namely, switching c and g will not change the outcome). (1) x(c, g) = Median{c, 9, 51, namely, the outcome is the median among three numbers: c, g and a constant 5. (2) x(c, g) c if c < 10, and (c, g) = g otherwise. = A government and a court interact with each other to determine the policy out- come. Policies are real numbers and the status quo policy is 0. The government and the court both have symmetric, single-peaked preferences, each player has an ideal policy > 0, but the exact value of each player's ideal policy is her/his private information. For each of the following mechanisms, answer whether it satisfies (i) Checks and Balances; (ii) Strategy-proofness; (iii) Efficiency; (iv) Responsiveness; (v) Anonymity (Namely, switching c and g will not change the outcome). (1) x(c, g) = Median{c, 9, 51, namely, the outcome is the median among three numbers: c, g and a constant 5. (2) x(c, g) c if c < 10, and (c, g) = g otherwise. =