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.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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.
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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