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Consider two-sided, one-to-one matching between three women (Xena, Yasmeen, and Zelda) and three men (Arnie, Barney, and Calvin). Their ranking are as follows: Arnie: Xena,
Consider two-sided, one-to-one matching between three women (Xena, Yasmeen, and Zelda) and three men (Arnie, Barney, and Calvin). Their ranking are as follows:
Arnie: Xena, Yasmeen, Zelda, Arnie
Barney: Yasmeen, Zelda, Barney, Xena
Calvin: Xena, Zelda, Calvin, Yasmeen
Xena: Arnie, Barney, Calvin, Xena
Yasmeen: Barney, Calvin, Arnie, Yasmeen
Zelda: Barney, Arnie, Zelda, Calvin
Which of the following matchings has no blocking pairs?
- Arnie:Yasmeen, Barney:Xena, Calvin:Calvin, Zelda:Zelda
- everyone is unmatched
- Arnie:Arnie, Barney:Barney, Calvin:Zelda, Xena:Xena, Yasmeen:Yasmeen
- Arnie:Zelda, Barney:Yasmeen, Calvin:Calvin, Xena:Xena
- Arnie:Xena, Barney:Yasmeen, Calvin:Zelda( This is the correct answer, please explain why and why the other options are incorrect)
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