www-ai.cs.tu-dortmund.de/de/LEHRE/SEMINARE/WS2021/TrustworthyAIMachineLearning/literature/suehr2019.pdf
Two-Sided Fairness for Repeated Matchings in Two-Sided Markets: A Case Study of a Ride-Hailing Platf
alized Entropy Index is defined as
GEα (b1,b2, ...,bn ) = 1
nα(α − 1)
n∑ i=1 (( bi µ )α − 1) (1)
where b1, . . . ,bn denote benefits/utilities and µ = 1
n ∑n i bi .
4.1 Dataset Gathered
We gathered the ride-hailing [...] up until the previous matching round:
I∑ i=1
J∑ j=1
λ ·
max
i′ U t−1 D (i ′) −
( U t−1 D (i) +Mt
i , j ·U t D (i, j)
) + (1 − λ) ·
max
j′ U t−1 C (j ′) −
( U t−1 C (j) +Mt
i , j ·U t C (i, j)
) (2)
Proportional [...] max
i′
U t−1 D (i ′)
Tt−1(i ′) −
( U t−1 D (i)
Tt (i) +Mt
i , j · U t D (i, j)
Tt (i)
) + (1 − λ) ·
max
j′ U t−1 C (j ′) −
( U t−1 C (j) +Mt
i , j ·U t C (i, j)
) (3)
5.3.2 Constraints. We need to introduce …