1. LOGO Fair Division MATHEMATICS IN DAILY LIFE Hua Yinglei Hu Zhihao
Fan Xin
Si Peiyu

2. Assign Tasks
Amidakuji
Tasks
Divide Tasks

3. How to divide a cake? --two persons
Taking more things into consideration

4. Proportional Division

5. The Final Reduction Algorithm
Person who is the last one to cut the 1/n part will get this part of cake
Everyone has two choices:
Give the cut-cake to the next one directly
Cut down the size of the piece into 1/n according to his valuation

6. If anyone cuts the cake into piece which is smaller than 1/n of the cake deliberately……
If anyone gives a piece of cake which is bigger than 1/n of the cake to someone else deliberately……

7. Selfridge-Conway AlgorithmB
P1 divides the cake into three pieces
he considers of equal sizes …… P2 P1 P3

8. Applications and Conclusions
Fair division is the problem of dividing a set of goods between several people, such that each person receives his/her due share.
Distribution of social welfare 1
Divorce settlements 2
Airport traffic management and so on 3

9. Thanks