Two individuals, A and B, have the following utility functions UA min {x¹, y^} UB min {x¹, y³} = and the endowments are of the same unit and quantity: x = y = 100. (a) Sketch the Edgeworth box and draw the contract curve. (b) If A has a different utility function UA = x² + y^ would the contract curve be different? Explain. (c) If we add the production of goods x and y in the economy, and the technology is con- stant return to scale for both goods, can the competitive equilibrium still be achieved? Explained.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
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Two individuals, A and B, have the following utility functions
UA = min {x^, y^}
UB
=
min {x³, y³}
and the endowments are of the same unit and quantity: x = y = 100.
(a) Sketch the Edgeworth box and draw the contract curve.
(b) If A has a different utility function
UA = x² + y^
would the contract curve be different? Explain.
(c) If we add the production of goods and y in the economy, and the technology is con-
stant return to scale for both goods, can the competitive equilibrium still be achieved?
Explained.
Transcribed Image Text:Two individuals, A and B, have the following utility functions UA = min {x^, y^} UB = min {x³, y³} and the endowments are of the same unit and quantity: x = y = 100. (a) Sketch the Edgeworth box and draw the contract curve. (b) If A has a different utility function UA = x² + y^ would the contract curve be different? Explain. (c) If we add the production of goods and y in the economy, and the technology is con- stant return to scale for both goods, can the competitive equilibrium still be achieved? Explained.
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