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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>European Workshop on Algorithmic Fairness, July</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>On Prediction-Modelers and Decision-Makers: Why Fairness Requires More Than a Fair Prediction Model</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Teresa Scantamburlo</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Joachim Baumann</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Christoph Heitz</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ca' Foscari University of Venice, European Centre for Living Technology</institution>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of Zurich</institution>
          ,
          <country country="CH">Switzerland</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Zurich University of Applied Sciences</institution>
          ,
          <country country="CH">Switzerland</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2022</year>
      </pub-date>
      <volume>0</volume>
      <fpage>1</fpage>
      <lpage>03</lpage>
      <abstract>
        <p>This paper addresses the ambiguous relationship between prediction and decision in the field of predictionbased decision-making. Many studies blur these concepts, referring to 'fair prediction' without a clear diferentiation. We argue that distinguishing between prediction and decision is crucial for ensuring algorithmic fairness, as fairness concerns the consequences on human lives created by decisions, not predictions. We clarify the distinction between the concepts of prediction and decision, and demonstrate how these two elements influence the final fairness properties of a prediction-based decision system. To this aim, we propose a framework that enables a better understanding and reasoning about the conceptual logic of creating fairness in prediction-based decision-making. Our framework delineates diferent roles, specifically the 'prediction-modeler' and the 'decision-maker,' and identifies the information required from each to implement fair systems. This framework facilitates the derivation of distinct responsibilities for both roles and fosters discussion on insights related to ethical and legal requirements. This is an extended abstract based on the full paper published in AI &amp; SOCIETY [1].</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;prediction-based decision</kwd>
        <kwd>algorithmic fairness</kwd>
        <kwd>ethical decision-making</kwd>
        <kwd>human-in-the-loop</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Algorithmic fairness has emerged as a important topic within the Machine Learning (ML)
research community during recent years [
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ], attracting attention not only from a technical
standpoint but also from philosophical, political, and legal perspectives [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ]. This literature
builds upon established scholarship investigating the limits of classification systems and power
asymmetries in data collection practices [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Concerned with the consequences of
predictionbased decisions on individuals and groups from a social justice viewpoint [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], the discourse on
algorithmic fairness has been focusing on the fairness of prediction models, which represent
the core of ML research [
        <xref ref-type="bibr" rid="ref10 ref8 ref9">8, 9, 10, 11, 12</xref>
        ]. Given this focus, it is unsurprising that much of the
debate has revolved around how prediction models can cause unfairness.
      </p>
      <p>We argue that the prediction model as such cannot be the reason for unfairness. Rather, it is
the usage of the prediction model within its specific context that leads to unfairness. For instance,
the racial discrimination attributed to the COMPAS tool’s recidivism risk model [13] is not an
inherent feature of the model itself. Discrimination arises only when judges make decisions
based on the COMPAS risk scores. Consequently, the connection between the characteristics
of a prediction model, such as its false-positive or false-negative rates, and the potential harm
to specific societal groups, like African Americans in the case of COMPAS, hinges on the
assumption of how the model’s outputs translate into tangible consequences for people’s lives.</p>
      <p>As a prototypical case of how prediction models are implemented in real-world applications,
we focus our analysis on prediction-based decision systems, in which the outcomes of ML
prediction algorithms are leveraged to make decisions impacting human lives. We imagine a
(human or automated) decision-maker who is taking decisions on people or for people, who
makes decisions about or for individuals, while these decisions are informed by a prediction
regarding certain characteristics of the people involved. This scenario encapsulates many of the
cases commonly associated with discussions on algorithmic fairness, including banks making
loan decisions based on repayment predictions, companies making hiring decisions based on
job performance prediction, or universities making admission decisions based on academic
achievement predictions.1</p>
      <p>In such prediction-based decision systems, we may distinguish two conceptually diferent
functions: First, we have the function of prediction, performed by a prediction model that
processes individual data of a person to produce a prediction of a target variable associated
with this person, which is not known to the decision-maker at the time of decision-making.
This prediction might come in the form of a score, a probability, or a point prediction. Second,
we have the function of decision, which is informed by the prediction, but in nearly all cases
also influenced by additional parameters. For example, in of a bank’s loan decision, not only
the repayment probability but also the interest rate and the bank’s business strategy may be
decisive parameters. This idea has been studied in so-called cost-sensitive learning problems [14].
However, it remains unclear how incorporating a fairness requirement alters the cost-sensitive
approach and how prediction and decision functions interact in this process.</p>
      <p>
        This paper is primarily concerned with on group fairness, the most established and widely
adopted category of fairness. Group fairness seeks to prevent systematic disadvantages in
algorithmic decisions based on sensitive attributes (such as gender, age, or race) [
        <xref ref-type="bibr" rid="ref2">15, 2</xref>
        ]. While
there are also other types of fairness, such as counterfactual fairness [16], individual fairness [11],
and procedural fairness definitions [17], these are not addressed in this study.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. The relation between predictions and decisions</title>
      <p>
        In popular narratives of algorithmic decision-making, the distinction between the idea of
decision and that of prediction seems to be blurred. Neologisms like ‘fair prediction’ [18] or
‘fairness-aware learning’ [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] have become familiar within the ML community, inadvertently
promoting the notion that fairness is an intrinsic property of prediction models. This conflation
of concepts does not necessarily stem from an explicit ideological stance, and some studies
1It is important to note that other scenarios, such as recommender systems where predictions inform individuals
making decisions about themselves, also exist. While the findings of this paper may not be directly applicable in
such contexts, they could serve as inspiration for future research.
clearly specify that fairness is a characteristic pertinent to decision rules [19]. Nonetheless,
formal characterizations often apply fairness criteria to the prediction model (e.g., the classifier),
presupposing that the decision equates to the prediction’s outcome (e.g., see [20, 21, 22]).
      </p>
      <p>Such formulations suggest that the relation between prediction and decision is fixed and
given, implying that a specific prediction directly leads to a specific decision. However, this
is not true in many realistic examples, where the optimal decision depends on the prediction
as well as on other parameters, as is explicitly acknowledged by the idea of cost-sensitive
learning [14]. Thus, qualifying a prediction as ‘fair’ is misleading unless we explicitly assume
how a prediction is transformed into a decision. In general, the fairness attribution applies more
properly to the entire system (i.e., the combination of prediction and decision rules) rather than
to the prediction alone.</p>
      <p>Abstract formalization facilitates the overlap between the concepts of prediction and decision.
For example, in classification tasks, the objective of prediction—to choose from among several
options—can be seen as a special type of decision-making. From this viewpoint, the functions
performed by a prediction model and a decision-maker appear similar. However, moving beyond
mathematical simplifications to consider ethical implications reveals that decision-making
encompasses more than selecting alternatives; it involves actions that afect individuals and the
environment. In other words, decisions change the status quo, thus bearing consequences for
the decision-maker, the decision subjects, and potentially the broader environment. In contrast,
a prediction in itself has no direct impact; its influence on decision-making is enabled only
through a policy or decision rule that outlines the consequences of future actions.</p>
      <p>Take, for instance, a bank that decides whether to approve loan applications based on the
predicted likelihood of repayment. Approving a loan has a tangible impact, ofering the recipient
enhanced financial flexibility and new purchasing opportunities. This benefit is withheld from
applicants who are denied. Apparently, the prediction algorithm influences the decision, but
the prediction itself is not what creates (un)fairness, it is the decision specifying how to use
the prediction estimate. Note that even if the decision is fully determined by the prediction
– a case which is rarely met – the question of whether the prediction algorithm is fair or not
is conditioned on the assumed relation between prediction and decision rule. This is why
we conceptually suggest to clearly distinguish between the two elements of prediction and
decision, which both are ingredients of any prediction-based decision system, whether it be
fully automatic or also influenced by humans. Most importantly, distinguishing these concepts
encourages a broader examination of algorithmic decision-making as a process embedded in
social constructs, reflective of value judgments and power asymmetries.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Responsibilities of prediction-modelers and decision-makers</title>
      <p>For studying the interaction of prediction and decision, we introduce a framework allowing us
to distinguish the tasks and responsibilities of two diferent roles: The role of the
‘predictionmodeler,’ and the role of the ‘decision-maker.’ Drawing on decision-theoretic concepts, we
may think of two diferent agents, one being responsible for the prediction model and the
other one being responsible for the decision-making. Our motivation for distinguishing these
roles is not only fed by the theoretical analysis of how predictions are converted into (un)fair
treatment as discussed above, but also by the practical observation that these two roles are
often split organizationally and covered by diferent people, diferent departments, or even
diferent companies. From a responsibility standpoint, the decision-maker is responsible for the
decisions, and hence their consequences. Conversely, prediction-modelers have their own set of
responsibilities. They are responsible for creating the basis for a good decision, which consists
in (a) delivering a meaningful and robust prediction (e.g., think of transparency and safety
requirements in [23]), and (b) supplying the decision-maker with all necessary information
to address fairness and other relevant ethical obligations (refer to accountability and fairness
considerations in [23] and the requirements outlined by [24]).</p>
      <p>The rationale for diferentiating these roles stems from their distinct objectives.
Predictionmodelers focus on achieving high prediction performance, such as accuracy, which poses
challenges in the context of consequential decisions (see, e.g. [25] and [26]).</p>
      <p>Our framework2 is grounded in a decision-theoretic analysis of prediction-based
decisionmaking, assuming binary outcomes for both the decision  and the decision-critical unknown
variable  , and links to existing literature that conceptualizes fairness as a decision-theoretic
problem (see, for example, [27] and [28]). The analysis demonstrates that rational
decisionmaking is an optimization problem, reliant on the decision-maker’s utility function and the
prediction  ( = 1). Accordingly, the ideal output of a prediction model for a decision-maker
is a probabilistic model, in particular a calibrated score. Interestingly, this does not change if a
fairness constraint is added to the decision problem – the only change is in the decision rule.</p>
      <p>These results suggest that to achieve fairness while still optimizing for a decision-maker’s goal,
the task of the prediction-modeler is not to deliver a ‘fair’ prediction model, but to deliver
notskewed estimation of the outcome of interest. On the other hand, the task of the decision-maker
is to combine the prediction with their goal achievement.</p>
      <p>We also analyze the necessary interaction between the two roles to enable the development of
fair decision systems. The decision-maker should communicate details about the target variable
 and group attributes to the prediction-modeler, who, in turn, must relay information on
model performance, calibration functions, and group-specific baseline distributions.</p>
      <p>This study focuses on human decision-makers at the final stage of the AI decision process.
We know there are other important decision-makers involved earlier, like human annotators
and trainers. While their roles are also important, discussing all human influences is beyond
the scope of this paper.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion and conclusions</title>
      <p>
        Our findings underscore that diferent actors bear varying responsibilities towards the collective
aim of creating a fair system.3 In algorithmic decision-making under group fairness constraints,
these obligations translate into specific pieces of information that each role is expected to deliver
to the other. The deliverables suggested in our framework are not optional. They can be derived
2We focus on a post-processing approach to fairness. For a more extensive discussion of how our approach relates
to pre-processing and in-processing techniques see the full article [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
3Here, we focus more specifically on professional responsibility, that is, the set of obligations based on a role played
in a certain context. Responsibility, of course, extends beyond roles, and for a broader discussion see [29].
from the very nature of the decision problem and establish a strong interdependence between
the roles involved.
      </p>
      <p>While we acknowledge that the ultimate responsibility for ensuring fairness in decisions lies
with the decision-maker, their ability to address fairness issues depends heavily on the work of
the prediction-modeler. Without a minimum set of essential information regarding both the
training population and performance characteristics of the prediction model, a decision maker
cannot guarantee fair decisions.</p>
      <p>The interdependence between the roles recalls the problem of creating meaningful
communication channels among parties involved in the design and implementation of artificial
intelligence (AI) systems. Specifically, it clarifies the need for a structured exchange of
information critical for achieving fairness in prediction-based decision-making.</p>
      <p>The line between organizations that design and those that operate decision-making systems
can be unclear and complicated. For example, when banks work with credit agencies, it can be
hard to separate their roles in ensuring fairness – credit agencies might use banks’ preferences
in their models. This highlights the need to look at fairness in decision-making not just in
theory but also by considering the actual roles and institutions involved.
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