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In an exchange economy, there are two people, A and B, and two goods, ????1 and ????2

Economics Nov 25, 2020

In an exchange economy, there are two people, A and B, and two goods, ????1 and ????2. Their respective utility functions and endowments are ????????(????????1,????????2)=min{????????1,2????????2} ????????(????????1,????????2)=????????1+????????2 ????????=(6,13) ????????=(6,0). Note: The ????s and ????s in the equations above are not powers but rather superscripts to indicate each agent.

The minimum and maximum possible amounts of ????????2 on the contract curve are

Minimum ????????2=

Maximum ????????2=

The minimum and maximum possible amounts of ????????1 on the contract curve are

Minimum ????????1=

Maximum ????????1=

Expert Solution

Contract curve is locus of all pareto Optimal Allocations

So at pareto effeciency

xA1 = 2*xA2

Mnimum ????????2=0

Maximum ????????2=6

The minimum and maximum possible amounts of ????????1 on the contract curve are:

Minimum ????????1= 0

Maximum ????????1=12

please see the attached file.

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