New Cities A regional economy has 11 million workers and an urban utility curve u(n)=15+12n-n^2, where...

New Cities
A regional economy has 11 million workers and an urban utility curve u(n)=15+12n-n^2, where n is the number if workers in millions. Initially, all 11 million workers are in a single city.

a) Suppose the regional government establishes a new city with 1 million workers, leaving 10 million workers in the old City. Predict the new equilibrium distribution of population between the two cities. Illustrate.
b) Suppose the regional government provides a subsidy to the residents of the new city. The subsidy (in utils) is s=12-2n, that is, 10 utils in a city with 1 million workers, 8 utils for 2 million workers, and so on. Predict the new equilibrium distribution of population between the two cities. Illustrate.

Expert Solution

Rahul Sunny answered 2 hours ago

Consider an economy where the representative consumer has a utility function u (C; L) over consumption...

Consider an economy where the representative consumer has a utility function u (C; L) over consumption C and leisure L. Assume preferences satisfy the standard properties we saw in class. The consumer has an endowment of H units of time that they allocate to leisure or labor. The consumer also receives dividends, D, from the representative Örm. The representative consumer provides labor, Ns, at wage rate w, and receives dividends D, from the representative Örm. The representative Örm has a...

Devon’s utility function is represented by U(w)=2(w1/2) . Devon has just purchased a new home worth...

Devon’s utility function is represented by U(w)=2(w1/2) . Devon has just purchased a new home worth $100,000 and his home represents all of his wealth. The statistics show that in any year there is a two percent (0.02) chance that his home may burn down. If Devon’s house does burn down then the value of the scraps is $30,000. Using the information above draw Devon’s utility function, plot utility against wealth) Is Devon risk averse? Explain The insurance for the...

Tim has a concave utility function u(w) = w ‐ w²/2, where w∈[0,1] His only major...

Tim has a concave utility function u(w) = w ‐ w²/2, where w∈[0,1] His only major asset is shares in an Internet start‐up company. Tomorrow he will learn his stock's value. He believes that it is worth $w0 with probability 4/5 and $w1 with probability 1/5, with w1 > w0. 1) Calculate the expected value of the lottery, the expected utility, and the utility of the expected value. 2) If w0 = 1/3 and w1 = 2/3. Compute the risk...

Question

New Cities A regional economy has 11 million workers and an urban utility curve u(n)=15+12n-n^2, where...

Solutions

Expert Solution

Related Solutions

Consider an economy where the representative consumer has a utility function u (C; L) over consumption...

Devon’s utility function is represented by U(w)=2(w1/2) . Devon has just purchased a new home worth...

Tim has a concave utility function u(w) = w ‐ w²/2, where w∈[0,1] His only major...