Getting Your Fair Share

Kate Rudolph

Your Fair Share… of What?

• Divisible

• Different preferences

• Desirable

What is “Fair”?

• Proportional“I got at least 1/n”

• Envy-Free“Nobody got more than me”

• Equitable“Everyone got the same”

20

100

40

10

10

30

10

50

10

5

100

15

20

401030

10

50

10 10

5

15

654050

40

10

50

15

5040

1510

= 1.25

= 1.5

How much of the Skittles do I get?

p

15 + (1-p)50=50 + 40p

p = 1/6

30

10

10 50

15

16

56 ( )

( )40

56.67 56.67

3 or more people is much harder!