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(1)
Design
(2)
Decision
(3)
Reaction
OM1 OM2 OM3 OM4 OM5
Doctor Lawyer Roboticist
Outcomes
Outcome
Makers
Population
A B C
OM1 OM2 OM3 OM4 OM5
Doctor Lawyer Roboticist
Equality of
Outcome
Equality of
Opportunity
A B C
Ensure that
everyone has the
same outcome or
ensure each group
is proportionately
represented in the
outcome buckets
Ensure everyone
has the outcome
makers they need
to access any
possible outcome
OM1 OM2 OM3 OM4 OM5
Doctor Lawyer Roboticist
A B C
GATEKEEPERS
Protected
Race

Gender

Age

Religion

Disability

etc.
Non-Protected
IQ

Education

Income

Measured

ability

etc
Protected
Race

Gender

Age

Religion

Disability

etc.
Non-Protected
IQ

Education

Income

Measured

ability

etc
Direct Discrimination
Indirect Discrimination
Structural Discrimination
Individual Discrimination
Positive Discrimination
Impartiality
90%

P
Does
reoffend
TP
90%

N
Does Not
reoffend
Does Not
reoffend
Does
reoffend
FP TN FN
Individual
Could be a member of
group 1 or group 2
Risk Score
A prediction of what
the individual will do
Actual Outcomes
What the individual
actually did
Black
Defendants
Higher
Risk
Lower
Risk
Total
White
Defendants
Higher
Risk
Lower
Risk
Total
Did
Reoffend
1369 532 1901
Did
Reoffend
505 461 966
Didn’t
Reoffend
805 990 1714
Didn’t
Reoffend
349 1139 1488
Total 2174 1522 3615 Total 854 1600 2454
Source: Angwin et al 2016, available at https://www.propublica.org/article/machine-bias-risk-
assessments-in-criminal-sentencing (this version taken from Sumpter 2018)
90%

P
Does
reoffend
TP
90%

N
Does Not
reoffend
Does Not
reoffend
Does
reoffend
FP TN FN
CRITERION 1

Well-calibrated
CRITERION 2

Balance in the
positive class
CRITERION 2

Balance in the
Negative class
+
+
90%

P
Does
reoffend
TP
90%

N
Does Not
reoffend
Does Not
reoffend
Does
reoffend
FP TN FN
CRITERION 1

Well-calibrated
CRITERION 2

Balance in the
positive class
CRITERION 2

Balance in the
Negative class
+
+
X
A1
If robots perform general
social gate-keeping
functions, then they will
have similar normative
aims and face similar
practical constraints.
A2
If robots are intended to be
closer, personal companions
(etc) then they may be
bound by a duty of partiality
(or positive discrimination)
to their human users.
GATEKEEPER FRIEND

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Discrimination, Fairness and the Design of Robots