Consider a market with 4 doctors a,b,c,d and 3 hospitals 1,2,3. Each hospital needs to hire (at most) one doctor. The preference orders of each side of the market on the other side are given by a: 1 >2>3>4 b: 2>1>3>4 c: 2 >3>1>4 d: 1 >2 >3 >4 1: d>b>c>a 2: c>a>b>d 3: c>b>d>a 1) List all of the stable assignments of doctors to hospitals in this market. 2) Prove that no other stable assignment exists.
Consider a market with 4 doctors a,b,c,d and 3 hospitals 1,2,3. Each hospital needs to hire (at most) one doctor. The preference orders of each side of the market on the other side are given by a: 1 >2>3>4 b: 2>1>3>4 c: 2 >3>1>4 d: 1 >2 >3 >4 1: d>b>c>a 2: c>a>b>d 3: c>b>d>a 1) List all of the stable assignments of doctors to hospitals in this market. 2) Prove that no other stable assignment exists.
Principles of Economics, 7th Edition (MindTap Course List)
7th Edition
ISBN:9781285165875
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
Section: Chapter Questions
Problem 4PA
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Question
![Consider a market with 4 doctors a,b,c,d and 3 hospitals 1,2,3. Each
hospital needs to hire (at most) one doctor. The preference orders of
each side of the market on the other side are given by
a: 1 >2>3>4
b: 2>1>3>4
c: 2 >3>1>4
d: 1 >2 >3 >4
1: d>b>c>a
2: c>a>b>d
3: c>b>d>a
1) List all of the stable assignments of doctors to hospitals in this
market.
2) Prove that no other stable assignment exists.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4e645e5-e300-43f0-9a76-140489f55b60%2F0a1befe9-c408-491e-b6fc-0df6c97c3881%2Fzadsvp4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a market with 4 doctors a,b,c,d and 3 hospitals 1,2,3. Each
hospital needs to hire (at most) one doctor. The preference orders of
each side of the market on the other side are given by
a: 1 >2>3>4
b: 2>1>3>4
c: 2 >3>1>4
d: 1 >2 >3 >4
1: d>b>c>a
2: c>a>b>d
3: c>b>d>a
1) List all of the stable assignments of doctors to hospitals in this
market.
2) Prove that no other stable assignment exists.
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