kindly slove for question 6 both a & b part. this is all tye info.

6. Consider a slightly larger market. A) Find the stable matches for Jordan Casey and Pat, if stable matches exist. B) If stable matches exist, find the range of payoffs to Jordan, Casey and Pat that would be paid in a stable match. Jordan Casey Pat Row person alone 12 Joe 8 20 4 Mel 7 25 14 6 Vee 6 20 20 8 2 5 8 Column person alone Assortative matching: (first explanation and example) We use the following game boxes, where each square represents the payoffs to the couple or person in the household For example, if Jordan and Joe were together their joint payoff is 12. Vee would not match with Jordan because Vee can get 8 alone, or share 6 with Jordan. Joe could get 4 alone, or (8-5) = 3 with Casey, so Joe would share a maximum of 8 with Jordan. Therefore, for Jordan, the match is stable if its value is greater than the next best alternative: Ventas (12 - payoff to Joe > 2 For Joe, the match is stable if 12-payoff to Jordan >4, which is 8. Therefore the match is stable if Jordan's payoff is 2 2 For Joe, the match is stable if 12-payoff to Jordan >4, which is 8. Therefore the match is stable if Jordan's payoff is 2