Question

Exercise 6 The world consists of two countries, X which is poor and Y which is rich. The total benefits (B) and total costs (C) of emissions abatement (A) are given by the functions $B_x = 8(A_x + A_y)$, $B_y = 5(A_x + A_y)$ $C_x = 10 + 2A_x + 0.5A_x^2$ and $C_y = 10 + 2A_y + 0.5A_y^2$ (a) Obtain the equilibrium levels of abatement for X and Y, if they decide independently. Calculate the net benefit for each country. (b) Now assume they agree to work together. Obtain the equilibrium level of abatement. Calculate the net benefit for each country. (c) Does the abatement level in scenario (b) deliver Pareto improvements for each country compared to scenario (a), or would one have to give a side payment to the other to obtain Pareto improvements?

          Exercise 6
The world consists of two countries, X which is poor and Y which is rich. The total
benefits (B) and total costs (C) of emissions abatement (A) are given by the
functions
$B_x = 8(A_x + A_y)$,  $B_y = 5(A_x + A_y)$
$C_x = 10 + 2A_x + 0.5A_x^2$ and
$C_y = 10 + 2A_y + 0.5A_y^2$
(a) Obtain the equilibrium levels of abatement for X and Y, if they decide
independently. Calculate the net benefit for each country.
(b) Now assume they agree to work together. Obtain the equilibrium level of
abatement. Calculate the net benefit for each country.
(c) Does the abatement level in scenario (b) deliver Pareto improvements for
each country compared to scenario (a), or would one have to give a side
payment to the other to obtain Pareto improvements?

Exercise 6
The world consists of two countries, X which is poor and Y which is rich. The total
benefits (B) and total costs (C) of emissions abatement (A) are given by the
functions
Bx = 8(Ax + Ay), By = 5(Ax + Ay)
Cx = 10 + 2Ax + 0.5Ax^2 and
Cy = 10 + 2Ay + 0.5Ay^2
(a) Obtain the equilibrium levels of abatement for X and Y, if they decide
independently. Calculate the net benefit for each country.
(b) Now assume they agree to work together. Obtain the equilibrium level of
abatement. Calculate the net benefit for each country.
(c) Does the abatement level in scenario (b) deliver Pareto improvements for
each country compared to scenario (a), or would one have to give a side
payment to the other to obtain Pareto improvements?

Added by Matthew R.

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