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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.
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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”
40 50 10 10 5 10 30 20 10 15 100 100
10 10 5 10 50 40 30 20 10 15 65 40 50
50 40 50 = 1.25 40 10 15 15 = 1.5 10
How much of the Skittles do I get? p 50 + 40p = 15 + (1-p)50 p = 1/6
56.67 56.67 10 ( ) 1 5 10 50 6 6 30 15 ( ) 40