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Question

Microeconomics Question on General equilibrium and welfare

Consider a pure exchange economy with two goods x and y. Ravi and Suraj are two individuals with utility functions UR=βlog(xy)U_R = \beta log(xy) and Us=(x/y)α,U_s = (x/y)^{\alpha}, respectively. The endowments are xRx_R and yRy_R for Ravi and xsx_s and ysy_s for Suraj such that xRx_R+xsx_s = A and yR+ys=By_R + y_s= B. Then their contract curve is

A

AyRAy_R -BxRBx_R = 0

B

AyRAy_R + BxRBx_R - 2YRXR2Y_RX_R = 0

C

AyRAy_R + BxRBx_R -YRXRY_RX_R= 0

D

AyRAy_R - BxRBx_R + 2YRXR2Y_RX_R= 0

Answer

AyRAy_R + BxRBx_R - 2YRXR2Y_RX_R = 0

Explanation

Solution

The correct option is (B): AyRAy_R + BxRBx_R - 2YRXR2Y_RX_R = 0