1. Warm Up – 2/20 - Thursday
How much more does Angela like strawberry than vanilla?
B) Give a percentage that describes how much Angela values the Vanilla portion.
C) What percentage of the cake would Angela consider a 60 degree slice of vanilla?
D) A 30 degree slice of strawberry?

2. Chapter so Far Fair Division Criteria Divider-Chooser – 2 players
Everyone needs to be satisfied in order for a division to be fair.
Divider-Chooser – 2 players
The divider tries to make both sides exactly 50% so they are guaranteed a fair share.
The chooser gets the better deal as they may get a fair division over 50%.

3. Lone-Divider Method
Lone-Divider is very similar to Divider-Chooser except now we have more than two players.
The Rules
One player is randomly selected to divide (they want a fair share!)
The other players submit a bid set (a list of the pieces they think are fair)
The goodies are distributed fairly and optimally if possible.

4. Lone-Divider Who was the divider in this case?
Give the other two players bid sets.
Distribute the goods fairly.

5. Lone-Divider
We call the pieces the other
two players want C-Pieces!

6. Lone-Divider

7. Changed the table slightly
A) Who was the divider?
B) Give the other players’ bid sets.
C) Create an optimal distribution if possible.

8. Example 3 A) Who was the divider? B) Give the other players’ bid sets.
C) Create an optimal distribution if possible.

9. Table 2
The only C-piece is 𝑠 3 . Because neither Cindy or Cher wants 𝑠 1
Everyone agrees to give that piece to Dale (Dale is fine with this!).
Cindy and Cher are left trying to decide what to do about 𝑠 3 and 𝑠 2 .
How would you handle this in real life, Ryan?

10. Final Outcome Dale will get 𝑠 1 .
Cindy and Cher will reexamine 𝑠 2 and 𝑠 3 and use the Divider-Chooser method for two players to divide the rest.
Answer you need to put:
Dale gets 𝑠 1 . Cindy and Cher use Divider-Chooser on 𝑠 2 and 𝑠 3 .