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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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