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!