The ADJUSTED Winner & Practice: Fair Division, LoNE-Divider, & Divider Chooser Method (Txt: 3.1-3.2 & SOL: DM.7) Classwork: Www.mathxlforschools.com-

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Presentation transcript:

the ADJUSTED Winner & Practice: Fair Division, LoNE-Divider, & Divider Chooser Method (Txt: 3.1-3.2 & SOL: DM.7) Classwork: Www.mathxlforschools.com- Due 11/11/15 @ 7am (3 attempts) Homework (day 24): Quiz next block Begin online study guide for chapter 3!

Adjusted Winner Divorce Procedure This procedure is for handling property settlements in a divorce or in an inheritance involving only two heirs. Theorem: For two parties, the adjusted winner procedure produces an allocation based on each players assignment of 100 points over the items to be divided.

Properties of the Adjusted Winner The allocation is equitable: this means that both players receive the same number of points. The allocation is ENVY- free: this means that neither player would be happier with what the others received. The allocation PARETO- optimal: this means that no other allocation, arrived at by any party better off without making the other party worse off.

Assign each person each item according to who bids the highest. Total circled. To slide the points, you have to take the one they want the least. Can’t slide anymore because you do not want to change who has the most points. 5. Then decide which item they want to share because according to adjusted winner procedures they have to end up being equal.

To determine the item that will be shared, make a fraction To determine the item that will be shared, make a fraction. Person giving up the item will be the denominator. The largest fraction is the item that will be shared because that means the person giving the item has less interest in that item than the other items he has. Set up the equation. It does not matter who is assigned (x) and who is assigned (1-x) Solve for x X = ___________ and 1-x = ____________ 10. List what each one received.

Adjusted Winner https://www.youtube.com/watch?v=RkRWwFhSlog

Trump Divorce Point allocation Point Allocation Martial asset Donald Ivana Connecticut estate 10 38 Palm Beach Mansion 40 20 Trump Plaza Apt 30 Trump Tower Triplex Cash & Jewlery 2

Ex: Supposed Calvin & Hobbs discovered a sunken pirate ship and must divide their loot. Object Calvin Hobbes Cannon 10 5 Anchor 20 Unopened Chest 15 Doubloon 11 14 Figure Head 30 Sword 6 Cannon Ball 1 Wooden Leg 2 Flag Crow’s Nest