In a country there are 4 types of individuals The utility function of the ith type is given by: U₁ (x₁, G) = x₁ + i* lnG
Posted: Sun Jun 05, 2022 4:53 pm
QUESTION IS FOR 10 MARKS.
In a country there are 4 types of individuals The utility function of the ith type is given by: U₁ (x₁, G) = x₁ + i* lnG; i = 1,2,3,4 where, x; denotes the private good consumed by each citizen and G denotes the public good. The first type has 2 individuals, the second type has 3 individuals, the third and the fourth type have 2 individuals each. The marginal cost of providing the public good is 9/-. a. Compute the efficient level of provision of the public good. b. Assume that the local government asks the voters to directly decide about level of G informing them that for each unit of the public good, each of them will be asked to pay a contribution equal to 1. What would be the preferred level of G by each of the four subgroups be? Which G would come out of the voting process?
SHOW ALL THE STEPS . THIS In a country there are 4 types of individuals The utility function of the ith type is given by: U₁ (x₁, G) = x₁ + i* lnG; i = 1,2,3,4 where, x; denotes the private good consumed by each citizen and G denotes the public good. The first type has 2 individuals, the second type has 3 individuals, the third and the fourth type have 2 individuals each. The marginal cost of providing the public good is 9/-. a. Compute the efficient level of provision of the public good. b. Assume that the local government asks the voters to directly decide about level of G informing them that for each unit of the public good, each of them will be asked to pay a contribution equal to 1. What would be the preferred level of G by each of the four subgroups be? Which G would come out of the voting process?