1. Consider a two-sided m

1. Consider a two-sided m

1. Consider a two-sided matching model with three men and three women.Their preferences are expressed by the table:P (m1) = w1 w2 w3 P (w1) = m1 m2 m3P (m2) = w1 w2 w3 P (w2) = m1 m3 m2p (m3) = w1 w3 w2 P (w3) = m1 m2 m3.Find the man-optimal stable matching and ?nd the woman-optimal stablematching. Are these matchings identical?2. Consider a two-sided matching model with two men and two women.Their preferences are expressed by the table:P (m1) = w1 w2 P (w1) = m2P (m2) = w2 P (w2) = m1 m2.Find the man-optimal stable matching and ?nd the woman-optimal stablematching. Are these matchings identical?

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