Getting Your Fair Share
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Getting Your Fair Share Kate Rudolph
description
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”. 4 0. 5 0. 10. 10. 5. 10. 3 0. 2 0. 10. 15. - PowerPoint PPT Presentation
Transcript of Getting Your Fair Share
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!
