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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Applications of ABM in International Legal Research</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>The Case of Compliance</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Katharina Luckner</string-name>
          <email>katharina.luckner@uni-hamburg.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Veronika Fikfak</string-name>
          <email>veronika.fikfak@jur.ku.dk</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Human Rights Nudge Project, iCourts, University of Copenhagen</institution>
          ,
          <addr-line>Karen Blixens Plads 16, DK-2300 Copenhagen S</addr-line>
          ,
          <country country="DK">Denmark</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute of Law and Economics, University of Hamburg</institution>
          ,
          <addr-line>Johnsallee 35, 20148 Hamburg</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Agent-based modeling has been largely overlooked in international legal research, even though it could be used to gain insights into the highly complex processes of state behavior relevant to international law that can only be insufficiently addressed with other methods. On the basis of a concrete application - state compliance with European Court of Human Rights judgments - we show the applicability of agent-based modeling to international legal research. We discuss its implications for two levels of analysis: (1) understanding the drivers of state behavior, which contributes to the international law research with unitary state actors at its center, and (2) within state dynamics and their influence during the compliance process, which breaks the black box of the state. Agent-based models addressing the questions that arise on these levels can take a variety of shapes. We provide one line of thought on the set-up of an agent-based model for each of the two levels of analysis and discuss expected difficulties. Finally, we provide an outlook on how these aspects might come together in exploring how compliance rates can be bettered.</p>
      </abstract>
      <kwd-group>
        <kwd>1 International Law</kwd>
        <kwd>Compliance</kwd>
        <kwd>Human Rights</kwd>
        <kwd>Agent-based Modeling</kwd>
        <kwd>European Court of Human Rights</kwd>
        <kwd>Quantitative Legal Research</kwd>
        <kwd>Qualitative Legal Research</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Recent years have seen important developments in methodological approaches in international and
European legal scholarship. From quantitative to qualitative social sciences approaches, historical and
anthropological perspectives, new methodologies have brought new insights into how international law
and its actors operate. What remains unclear, however, is to what extent the existing methodologies can
explain highly complex processes of state behavior relevant to international law. Such behavior evolves
through time and depends on the action and cooperation of heterogeneous actors acting at different
levels – from state representatives, government officials, NGOs and state organs, international
institutions, etc. In this paper, we propose that agent-based modeling, which has been largely
overlooked as a method for legal research, is suited to gather further insights into these processes and
lead us to new discoveries.</p>
      <p>We show the applicability of agent-based modeling using concrete problems in international legal
research: the study of state compliance with European Court of Human Rights (ECtHR) judgments.
Empirical research shows that despite the fact that judgments of the ECtHR are binding for all current
46 Council of Europe member states, more than half of its decisions remain unenforced. We show how
ABM can contribute to a better understanding of state behavior and within state dynamics during the
compliance process.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Compliance with the European Court of Human Rights</title>
      <p>The European Court of Human Rights (ECtHR) is the chief institution of the Council of Europe for
upholding the European Convention on Human Rights (ECHR). Since its inception in 1959, the Court
has been facing an increasing case load with more than 40,000 new applications each year. The Court’s
main task is to determine whether a violation of a Convention right has occurred in any of the 46 Council
of Europe member states, which have recognized the jurisdiction of the court. Although the Convention
makes the judgments of the Court directly binding on the states, in practice more than half of all cases
rendered by the court remain unenforced.</p>
      <p>
        Decision making by the ECtHR and the subsequent implementation of judgments are highly
complex processes, which include a wide range of actors. The most central – aside from Court and
applicant (plaintiff) – is the Committee of Ministers (CM), which consists of representatives of all
member states and is the institution which ultimately decides whether a country has complied with a
judgment. Further complicating the process is the fact that when the Court rules a violation of the
Convention has occurred, it only determines damages to be paid to the plaintiff, but remains silent
regarding non-monetary remedies that the country has to undertake to rectify the situation which led to
the human rights abuse in the first place (for a discussion of monetary damages within the ECHR
system, see [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]). Instead, the country decides for itself which remedies are most suitable to rectify the
situation, it then proceeds to implement the chosen remedies, and the CM signs off on whether the
measures taken are sufficient (see for example [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]). This sets up a system that is fraught with the
potential for self-serving behavior, trade-offs, and cop-outs in lieu of structural changes to better the
human rights situation in Europe.
      </p>
      <p>For the Human Rights Nudge Project, a multitude of key data on states’ compliance with ECtHR
judgments has been collected. Among that data are the type of violations raised in each case – e.g., the
article of the European Convention on Human Rights that the state has (allegedly) breached; whether a
judgment was complied with; the duration it took for a state to comply with the judgment; the damages
awarded by the Court; the remedies chosen by the state to address the judgment. This data has been
collected for the years 1980-2020. In addition, for a selected number of case studies, a thorough analysis
of the actors and the networks that comprise the state’s compliance apparatus was conducted. In the
following, we will detail the insights gathered from this data, the questions that they leave unanswered,
and how agent-based modeling might contribute to answering them.2</p>
    </sec>
    <sec id="sec-3">
      <title>3. What can ABM contribute to compliance research?</title>
    </sec>
    <sec id="sec-4">
      <title>3.1. Understanding state behavior: Temporal and spatial compliance patterns</title>
      <p>When pulling together all instances of (non-)compliance between 1980 and 2020, in Figure 1, we
see that the average compliance rate, i.e., the compliance rate averaged over all member states and
plotted by year, shows a wave like development of compliance.</p>
      <p>Notably, we see that these waves not only occur at times when many new states enter the European
Convention of Human Rights (ECHR), i.e., they do not seem to solely be driven by new members to
the ECHR. Zooming in, as Figure 2 does, it is evident that existing member states also contribute to the
wave structure of compliance rates. The former might have a simple explanation: when a country joins
the Convention and accepts the Court’s jurisdiction, its internal practices may not (yet) be consistent
with the Convention. Even if it is willing to address human rights abuses, the new state may not be able
to increase its capacity to do so immediately, which impedes the implementation of subsequent ECtHR
judgments. However, given that also established members contribute to the wave structure of
compliance rates, this warrants a closer look.
2 See www.humanrightsnudge.com for more information. This data provides the basis for all following figures and graphs. For
inquiries into data access, please contact veronika.fikfak@jur.ku.dk.</p>
      <p>Figure 2 shows the compliance rates of (at the time) all member states of the European Convention
on Human Rights in the years 2000, 2010, and 2020. Most of the new member states, which joined the
Convention after 2000, have a very low compliance rate upon entering. Almost all of them steadily
increase their compliance rates up until 2020. This is not the case for established member states, who
in many cases exhibit decreased compliance before an overall increase in compliance towards the end
of the observed period.</p>
      <p>Empirical research has proven very useful for revealing different compliance patterns. The question
that it mostly leaves open is what drives these compliance patterns. Some answers to this question can
be given by case studies and through interviews with experts and practitioners. That, however, does not
account for the scaling up of the compliance mechanisms and the interactions of decisions. ABM is
especially useful here, as it can facilitate a more holistic view of the system, which connects individual
behavioral theories and motivations with the overall outcome of many compliance processes running
in parallel. We are currently investigating different behavioral assumptions for states within the ECtHR
system to see how those affect compliance dynamics as states learn from each other and adapt strategies
to deal with ECtHR judgments.</p>
      <p>
        To do so, we plan to model states, cases, and the CM as agents. Each case signifies a certain
violation of the law; if it is litigated, the court decides on its merits and sets the level of damages. The
state, against whom the case is directed, decides to pay damages (or not) and assesses whether
nonmonetary remedies (like adoption of legislation) are appropriate to prevent future violations. The CM,
which consists of representatives from all 46 member states, decides whether remedies are suitable and
have been implemented sufficiently. Dependent variables are the selected set of remedies and whether
the case has been closed (compliance) or not (non-compliance). Independent variables are the
behavioral mechanisms which we aim to vary: (1) states adopt remedies randomly, (2) states imitate
successful compliance processes of other states, with the potential reference group being neighbors or
trade connections, etc., (3) in line with international relations theory on norm diffusion and norm
entrepreneurship, states set expectations for their own compliance and that of others and police other
states’ behavior if necessary (for the latter, see for example [
        <xref ref-type="bibr" rid="ref3 ref4 ref5">3, 4, 5</xref>
        ]). We aim to see whether (and how)
these micro behavior assumptions can reproduce the macro-outcomes of spatial compliance patterns
and their development through time. This allows some conclusions about the behavior and dynamics
that are at play within the human rights regime.
      </p>
      <p>
        Taking state compliance with international court rulings, rather than state compliance with
international law as the object of research, allows for concrete occasions and a timeline with discreet
steps for state actors to make decisions, as well as providing a binary outcome variable, so that the
application of the method seems well suited. Nevertheless, there are many limitations to be considered:
chief among them is the fact that choosing behavioral theories and their concrete implementation in the
model is notoriously difficult (see [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], for a discussion of this problem in socio-ecological systems),
and here comes with the added difficulty of deciding which concepts are applicable to state behavior.
Thus, we are facing a trade-off between parsimony and accurate representation.
      </p>
      <p>Secondly, with this modelling agenda, we stay firmly within the research that assumes unitary
state actors, which naturally misses a lot of nuances in how states react and how state behavior is
internally conditioned. However, this is in line with much of current international law research on state
compliance (not only with ECtHR judgements), so that we can contribute new insights at that level of
abstraction. In the following, we take two aspects of internal state dynamics that are relevant to
compliance and show how ABM might contribute insights there.</p>
    </sec>
    <sec id="sec-5">
      <title>3.2. Breaking through the black box of the state: Compliance networks and the role of NGOs</title>
      <p>
        Conventional legal research methods provide insights into specific states’ compliance apparatuses –
and raise arguments that compliance depends on state capacity, rule of law index, state’s GDP [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
Network-analysis studies can further complement the picture by showing the specific network of actors
at play in securing compliance: as has been shown on the example of Slovenia, the compliance
apparatus within a country can have a great number of actors from different sectors: government
institutions, government actors, non-governmental actors, media, etc. Figure 3 shows the network of
actors for Slovenia [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. The change of Slovenia’s response to ECtHR judgments from a centralized
reaction to a dispersed networked implementation of remedies was essential in increasing Slovenia’s
compliance record to a near-100 percent [8, p. 21].
      </p>
      <p>
        Besides the governmental structure which reacts to ECtHR judgments, non-governmental
organizations and actors are a central force in states’ compliance with ECtHR judgments.
Nongovernmental organizations (NGOs) intervene in state compliance procedures via official channels and
unofficial channels. The former are determined by Rule 9 of the Rules of the Committee of Ministers
for the supervision of the execution of judgments and of the terms of friendly settlements. The latter may
include media campaigns and the like, i.e., interventions which are not governed by legal provisions
within the ECHR. Empirical investigations show the effect of NGO Rule 9 interventions on the decision
making of the CM and the Execution Department, the body supporting the CM, respectively [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], the
different strategies that Human Rights NGOs use when intervening in open judgments and states’
reactions to those interventions [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], as well as when NGOs intervene in the first place, and against
whom [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. According to one study, NGOs predominantly intervene against good compliers, suggesting
that this has the highest chances of success for the NGO [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. Expanding the dataset on compliance,
however, shows competing evidence [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. It is also not clear how NGOs chose their intervention
strategy and whether they change it over time.
      </p>
      <p>
        We are currently investigating the dynamics of NGO intervention in compliance procedures [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
Translating the legal provision, and what we have learned from interviews with NGOs into formal
behavioral prescriptions (“when and how to intervene”, barriers to interventions), we want to see how
different types of NGOs, differentiated by their location and funding source(s) most optimally choose
their interventions in the short, medium, and long term. The model consists of NGOs and states; the
central drivers of behavior are funding (for the NGOs) and reputation (for states and NGOs). We assume
that there is a trade-off between funding and reputation, but also an interaction effect of this trade-off
with the type of intervention (constructive or destructive). Given NGOs’ need for long-term survival
and continued funding, which intervention strategies should they use, and which states should they
target – say good or bad compliers, for example – to maximize their impact? In a second step, we aim
to relax behavioral assumptions away from a rational choice paradigm, as well as include NGO
networks, and learning effects among NGOs.
      </p>
      <p>
        A number of problems arise from this set-up, chiefly perhaps the definition of what constitutes a
successful intervention – it is difficult to assess the contribution that an NGO has made to the
compliance process, and correspondingly difficult to translate it into traceable model outcomes.
Secondly, the translation of qualitative research (interviews, text analysis) and legal norms into
mechanisms within the model presents a challenge, which is well-documented and has been tackled for
other fields of application [
        <xref ref-type="bibr" rid="ref13 ref14 ref15">13, 14, 15</xref>
        ].
      </p>
    </sec>
    <sec id="sec-6">
      <title>4. Conclusion and Outlook</title>
      <p>We use the case of states’ compliance with ECtHR judgments and the empirical work on the subject
as an example to show how agent-based modeling could be a beneficial addition to the international
legal scholarship toolbox. Not only can it help us understand observable (non-) compliance patterns
better, it can also provide insights into the state apparatus that lead to such patterns and the role that
non-state actors have in the compliance process.</p>
      <p>
        Eventually, understanding states’ behavior, and how it depends on their relative location, past
behavior and internal compliance apparatus should help us in determining potential remedies for poor
compliance performances within the European Human Rights regime. Studies have suggested different
approaches to such remedies – from sanctioning states to the use of rewards (for a comprehensive
discussion of "carrots and sticks" in international relations, see [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]; for an argument for rewards
in international law, see [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]). However, as with any policy making effort, it is unclear which remedies,
or mix thereof, would be the most effective, and which unintended consequences the international
community would have to face. These difficulties have been tackled with the help of ABM in areas
ranging from policies for refugee support [19], [20], fiscal policy [21] and agricultural policy [22].
      </p>
      <p>
        Drawing on the literature on agent-based modeling for policy making and its pitfalls (see for
example, [23]), in the future, interventions for increasing state compliance could be designed and tested.
Those studies which we sketched above would give us an understanding of the relevant factors within
compliance dynamics, which could then be varied systematically on order to understand the
comparative effects of different interventions on compliance rates while keeping all else constant.
Understanding the interdependencies of state behavior might also enable us to make more detailed
recommendations about norm nudges and allow us to use sociological studies on normative change and
norm entrepreneurs (see [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] respectively) in the international realm. This could provide novel
insights for stakeholders and policy makers on how to alter rules and regulations to increase compliance
rates and hopefully decrease human rights violations over time.
      </p>
    </sec>
    <sec id="sec-7">
      <title>5. Acknowledgements</title>
      <p>The work on this article was funded by the European Research Council (»ERC Human Rights
Nudge« 803981). Additionally, KL is undertaking her PhD research, which this project is a part of, at
the Humboldt Chair for Law and Economics, Legal Theory, Public International Law and European
Law at the Institute of Law and Economics, University of Hamburg.</p>
      <p>We thank the organizers and participants of the AMPM Workshop at the JURIX 2021 Conference,
as well as three anonymous reviewers, for helpful comments and suggestions.</p>
    </sec>
    <sec id="sec-8">
      <title>6. References</title>
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