Anthony Couthures
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All (20)
2023 (2)
2024 (5)
2025 (5)
2026 (8)
CDC (1)
Chaos, Solitons & Fractals (1)
Code (5)
Complex Networks (1)
ECC (1)
GRETSI (1)
IEEE L-CSS (1)
IFAC-JSC (1)
NAHS (1)
NETGCOOP (1)
Preprint (5)
Thesis (1)

Publications

Papers, preprints, PDFs, and BibTeX citations by Anthony Couthures.

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Theses & Dissertations

Influence Des Dynamiques d'opinion Sur Le Changement Climatique : Analyse et Stratégies Macroscopiques **Anthony Couthures** Apr 1, 2026
2026Thesis

Anthony Couthures. 2026. Influence Des Dynamiques d'opinion Sur Le Changement Climatique : Analyse et Stratégies Macroscopiques. These de Doctorat, Université de Lorraine.

Paper PDF Slides PDF
Abstract

Cette thèse modélise et analyse des systèmes socio-environnementaux complexes, une démarche motivée par l'urgence de l'action collective face au changement climatique. L'approche adoptée est multi-échelle (au sens spatial), allant du niveau stratégique macroscopique lors des négociations climatiques au niveau microscopique des dynamiques d'opinion individuelles. La thèse s'articule en trois axes principaux. Premièrement, la théorie des jeux est appliquée à la modélisation des négociations climatiques. Deuxièmement, l'étude du couplage entre la dynamique d'opinion et l'état de l'environnement révèle l'émergence de bifurcations et d'oscillations. Troisièmement, ce manuscrit se concentre sur l'analyse des dynamiques d'opinion sur des réseaux d'influence à travers le modèle que nous proposons : Continuous Opinion Signaled Action (COSA). Ce modèle capture des interactions non-linéaires où les agents communiquent via une fonction de signal. Nous démontrons les propriétés fondamentales du système en liant son analyse à celle d'un système unidimensionnel (Chapitre 3). Nous établissons les conditions de synchronisation complète et mettons en évidence un seuil spectral qui lie la topologie du réseau à la fonction de signal (Chapitre 4). Au-delà de ce seuil, nous caractérisons la formation de clusters d'opinion, que nous distinguons en deux catégories : parfaits et imparfaits. La synchronisation locale parfaite est conditionnée par des symétries structurelles du réseau. En l'absence de telles symétries, nous introduisons une nouvelle définition pour les clusters, dits imparfaits, et démontrons leur stabilité entrée-état face aux perturbations du reste du réseau (Chapitre 5).

BibTeX
@phdthesis{couthuresInfluenceDynamiquesDopinion2026,
  type = {These de Doctorat},
  title = {Influence Des Dynamiques d'opinion Sur Le Changement Climatique : Analyse et Strat\'egies Macroscopiques},
  shorttitle = {Influence Des Dynamiques d'opinion Sur Le Changement Climatique},
  author = {Couthures, Anthony},
  year = 2026,
  month = apr,
  collaborator = {Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  school = {Universit\'e de Lorraine}
}

No matching items

Preprints

Network-Induced Strategic Communication in Opinion Dynamics Hassan Munif, **Anthony Couthures**, Vineeth Satheeskumar Varma, Samson Lasaulce, and Tamer Başar Jul 1, 2026
2026Preprint

Hassan Munif, Anthony Couthures, Vineeth Satheeskumar Varma, Samson Lasaulce, and Tamer Başar. 2026. Network-Induced Strategic Communication in Opinion Dynamics. Submitted to IEEE Transactions on Control of Network Systems (arXiv:2607.16036). doi: 10.48550/arXiv.2607.16036.

Paper PDF Preprint
Abstract

Classical opinion dynamics typically assume a fixed mapping from private opinions to public signals, such as linear exchange, saturated signaling, or discrete public actions. In this paper, we show that these communication mappings can be derived from a strategic communication game played on a weighted influence network. Each agent acts as a receiver estimating its neighbors' states and as a sender broadcasting a public signal to influence its audience. We prove that the network's effect on a sender is summarized by a scalar, network-induced exaggeration factor, and the network game decouples into independent scalar cheap talk problems. The communication rules then emerge as behavioral regimes of one model: aligned incentives recover linear averaging; persuasive senders facing naive receivers produce saturated signaling; and persuasive senders facing Bayesian receivers cannot credibly reveal their opinions, so equilibrium communication becomes an interval quantizer, providing a game-theoretic foundation for continuous-opinion discrete-action (CODA) dynamics. Embedded in repeated opinion updates, the resulting strategic-CODA dynamics preserve opinion clustering and exclude extremism. The model predicts that a speaker exaggerates more when their audience is less influenced by them, and that under strong exaggeration, credible public expression collapses to a binary stance even while private opinions remain continuous.

BibTeX
@misc{munifNetworkInducedStrategicCommunication2026,
  title = {Network-{{Induced Strategic Communication}} in {{Opinion Dynamics}}},
  author = {Munif, Hassan and Couthures, Anthony and Satheeskumar Varma, Vineeth and Lasaulce, Samson and Ba{\c s}ar, Tamer},
  year = 2026,
  month = jul,
  number = {arXiv:2607.16036},
  eprint = {2607.16036},
  primaryclass = {eess.SY},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2607.16036},
  archiveprefix = {arXiv}
}

Social Learning Community Detection with Nonlinear Interaction **Anthony Couthures**, Athira Jayakumar Varma, Vineeth Satheeskumar Varma, Irinel-Constantin Morărescu, Samson Lasaulce, and Antoine Girard Jun 1, 2026
2026Preprint

Anthony Couthures, Athira Jayakumar Varma, Vineeth Satheeskumar Varma, Irinel-Constantin Morărescu, Samson Lasaulce, and Antoine Girard. 2026. Social Learning Community Detection with Nonlinear Interaction. Submitted to Physical Review E (arXiv:2606.00268). doi: 10.48550/arXiv.2606.00268.

Simulator Demo Paper PDF Preprint GitHub
Abstract

Conventional community detection requires centralized network data, making it unsuitable for distributed or privacy-preserving systems. In this paper, we demonstrate that macroscopic graph partitioning can emerge purely from strictly local, privacy preserving interactions driven by social learning. By reframing clustering as a symmetry-breaking process within nonlinear opinion dynamics, we show that exchanging saturated state dependent signal (like public actions) forces a network to naturally fracture along its sparsest cuts. We mathematically establish the spectral conditions under which dense core communities lock into stable, polarized states, robustly resisting external influence. To apply this mechanism, we propose three decentralized algorithms, leading up to the Score-based Edge Reliability (SER) framework. By evaluating network ties across multiple independent discussion topics, SER statistically bypasses the errors of traditional greedy bisections and naturally isolates structurally ambiguous frontier nodes. Validations on the ABCD benchmark and the real-world Ngogo chimpanzee network confirm that our fully decentralized approach matches the accuracy of globally optimized heuristics (e.g., Louvain, Leiden) up to a theoretical limit of detectable graphs.

BibTeX
@misc{couthuresSocialLearningCommunity2026,
  title = {Social Learning Community Detection with Nonlinear Interaction},
  author = {Couthures, Anthony and Jayakumar Varma, Athira and Satheeskumar Varma, Vineeth and Mor{\u a}rescu, Irinel-Constantin and Lasaulce, Samson and Girard, Antoine},
  year = 2026,
  month = jun,
  number = {arXiv:2606.00268},
  eprint = {2606.00268},
  primaryclass = {cs.SI},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2606.00268},
  archiveprefix = {arXiv}
}

Recursive Neighbor Pruning: Decentralized Community Detection with Certified Behavior from Saturated Opinion Dynamics **Anthony Couthures**, Irinel-Constantin Morărescu, Vineeth Satheeskumar Varma, Samson Lasaulce, and Antoine Girard Jan 1, 2026
2026Preprint

Anthony Couthures, Irinel-Constantin Morărescu, Vineeth Satheeskumar Varma, Samson Lasaulce, and Antoine Girard. 2026. Recursive Neighbor Pruning: Decentralized Community Detection with Certified Behavior from Saturated Opinion Dynamics. Submitted to 2027 European Control Conference (ECC).

Simulator Demo Paper PDF GitHub
Abstract

Detecting communities, i.e., groups of densely connected nodes, usually requires a central entity that knows the whole network. We study Recursive Neighbor Pruning (RNP), a fully decentralized alternative inspired by social learning. Each agent holds a private opinion but only shows its neighbors a coarse public action, namely its opinion amplified and clipped to a fixed range. Agents repeatedly move their opinion toward the actions of their neighbors and, once opinions settle, drop the links with neighbors whose action has the opposite sign. Repeating this procedure on the remaining network splits it into communities, without any agent knowing the network or the number of communities. We use tools from nonlinear control to characterize this behavior. We show that splitting requires the amplification to exceed a threshold set by how strongly the network is bottlenecked. We also show that a group in which every member has enough of its links inside the group can no longer be split once its members agree, and that a single run separates such groups exactly when started from suitable opinions. Finally, we bound the number of runs and messages. On two standard families of synthetic networks, RNP is as accurate as the best centralized method as long as each node has fewer than about forty percent of its links outside its community, and it fails close to the value predicted by our analysis. It is more accurate than two decentralized competitors below this level, but exchanges many more messages.

BibTeX
@misc{couthuresRecursiveNeighborPruning2026,
  title = {Recursive {{Neighbor Pruning}}: {{Decentralized Community Detection}} with {{Certified Behavior}} from {{Saturated Opinion Dynamics}}},
  author = {Couthures, Anthony and Mor{\u a}rescu, Irinel-Constantin and Satheeskumar Varma, Vineeth and Lasaulce, Samson and Girard, Antoine},
  year = 2026,
  publisher = {arXiv},
  language = {en}
}

Worst-Case Finite-Horizon Analysis of Perturbed LQR via Performance Estimation Problem **Anthony Couthures**, Gianluca Bianchin, and Julien M. Hendrickx Jan 1, 2026
2026Preprint

Anthony Couthures, Gianluca Bianchin, and Julien M. Hendrickx. 2026. Worst-Case Finite-Horizon Analysis of Perturbed LQR via Performance Estimation Problem. Submitted to 2027 European Control Conference (ECC) (arXiv:2610.29910). doi: 10.48550/arXiv.2610.29910.

Paper PDF Preprint GitHub
Abstract

We propose an exact formulation to quantify the finite-horizon robustness of a Linear Quadratic Regulator (LQR) subject to norm-bounded Linear Time-Invariant (LTI) parametric uncertainties, using the Performance Estimation Problem (PEP) framework. Originally developed for optimization, this method allows us to reformulate the worst-case performance search as a rank-constrained Semidefinite Program (SDP). By applying operator interpolation, this formulation retains the sequence variables, allowing the worst-case to be explicitly reconstructed when a rank-one solution is found. This approach also opens new possibilities for the finite-horizon certification of broader system classes, such as data-driven models or nonlinear components. Using this framework, we observe that finite-horizon LTI perturbations do not simply follow asymptotic strategies. Instead, they align slowly decaying invariant manifolds with specific initial conditions to drive transient growth, causing a bifurcation in the worst-case behavior as the horizon length changes. Finally, we show numerically that our performance bounds sit between the upper bounds of Integral Quadratic Constraint (IQC) relaxations and a lower bound derived from a pseudospectral heuristic.

BibTeX
@misc{couthuresWorstCaseFiniteHorizonAnalysis2026,
  title = {Worst-{{Case Finite-Horizon Analysis}} of {{Perturbed LQR}} via {{Performance Estimation Problem}}},
  author = {Couthures, Anthony and Bianchin, Gianluca and Hendrickx, Julien M.},
  year = 2026,
  number = {arXiv:2610.29910},
  eprint = {2610.29910},
  primaryclass = {math.OC},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2610.29910},
  archiveprefix = {arXiv}
}

From Consensus to Robust Clustering: Multi-Agent Systems with Nonlinear Interactions **Anthony Couthures**, Gustave Bainier, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu Nov 1, 2025
2025Preprint

Anthony Couthures, Gustave Bainier, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu. 2025. From Consensus to Robust Clustering: Multi-Agent Systems with Nonlinear Interactions. Submitted to IEEE Transactions on Automatic Control (arXiv:2511.21228). doi: 10.48550/arXiv.2511.21228.

Simulator Demo Paper PDF Preprint GitHub
Abstract

This paper establishes a theoretical framework to describe the transition from consensus to stable clustering in multi-agent systems with nonlinear, cooperative interactions. We first establish a sharp threshold for consensus. For a broad class of non-decreasing, Lipschitz-continuous interactions, an explicit inequality linking the interaction's Lipschitz constant to the second-largest eigenvalue of the normalized adjacency matrix of the interaction graph confines all system equilibria to the synchronization manifold. This condition is shown to be a sharp threshold, as its violation permits the emergence of non-synchronized equilibria. We also demonstrate that such clustered states can only arise if the interaction law itself possesses specific structural properties, such as unstable fixed points. For the clustered states that emerge, we introduce a formal framework using Input-to-State Stability (ISS) theory to quantify their robustness. This approach allows us to prove that the internal cohesion of a cluster is robust to perturbations from the rest of the network. The analysis reveals a fundamental principle: cluster coherence is limited not by the magnitude of external influence, but by its heterogeneity across internal nodes. This unified framework, explaining both the sharp breakdown of consensus and the quantifiable robustness of the resulting modular structures, is validated on Zachary's Karate Club network, used as a classic benchmark for community structure.

BibTeX
@misc{couthuresConsensusRobustClustering2025,
  title = {From {{Consensus}} to {{Robust Clustering}}: {{Multi-Agent Systems}} with {{Nonlinear Interactions}}},
  shorttitle = {From {{Consensus}} to {{Robust Clustering}}},
  author = {Couthures, Anthony and Bainier, Gustave and Satheeskumar Varma, Vineeth and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  year = 2025,
  month = nov,
  number = {arXiv:2511.21228},
  eprint = {2511.21228},
  primaryclass = {eess},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2511.21228},
  archiveprefix = {arXiv},
  language = {en}
}

No matching items

Peer-reviewed Journal Articles

The Link between Equitable Partitions and Local Agreements in Multi-Agent Systems with Nonlinear Interactions **Anthony Couthures**, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu Aug 1, 2026
2026NAHS

Anthony Couthures, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu. 2026. The Link between Equitable Partitions and Local Agreements in Multi-Agent Systems with Nonlinear Interactions. Nonlinear Analysis: Hybrid Systems 61: 101754. doi: 10.1016/j.nahs.2026.101754.

Paper PDF Slides PDF
Abstract

Classically, global consensus is achieved in linear multi-agent systems that interact over a connected, unsigned graph. However, when the interactions are non-linear, agents may get polarized, i.e., they synchronize locally within communities while the communities do not reach a consensus with each other. In this context, we demonstrate that local synchronizations strongly rely on the existence of equitable partitions in the graph. Specifically, if some agents synchronize independently of the initial conditions, we prove that these agents must belong to the same cell of an equitable partition. On top of that, based on forward invariance properties, we are able to characterize the stability of local synchronization equilibria in terms of the stability of equilibria of a quotient graph defined by an equitable partition.

BibTeX
@article{couthuresLinkEquitablePartitions2026,
  title = {The Link between Equitable Partitions and Local Agreements in Multi-Agent Systems with Nonlinear Interactions},
  author = {Couthures, Anthony and Satheeskumar Varma, Vineeth and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  year = 2026,
  month = aug,
  journal = {Nonlinear Analysis: Hybrid Systems},
  volume = {61},
  pages = {101754},
  issn = {1751-570X},
  doi = {10.1016/j.nahs.2026.101754}
}

On the Impact of Cross-Country Imitation on Climate Change: A Game-Theoretical Analysis Bouchra Mroué, **Anthony Couthures**, Samson Lasaulce, and Irinel-Constantin Morărescu Jun 1, 2025
2025IFAC-JSC

Bouchra Mroué, Anthony Couthures, Samson Lasaulce, and Irinel-Constantin Morărescu. 2025. On the Impact of Cross-Country Imitation on Climate Change: A Game-Theoretical Analysis. IFAC Journal of Systems and Control 32: 100309. doi: 10.1016/j.ifacsc.2025.100309.

Paper PDF
Abstract

As far as climate change is concerned, a recurrent question that is asked either at the government or a consumer level is: Why should I make efforts to reduce my CO2 emission levels whereas the others will not make these efforts? The present paper provides qualitative elements to this question when asked at the government level. More precisely, we assume that each country wants to maximize a tradeoff between an individual benefit brought by emitting CO2 and an economical damage due to climate change while being influenced by the reduction strategies of the other countries. The influence term is key for the analysis and enables more virtuous or cooperative behavior. Mathematically speaking, the contribution of this paper is: to propose an abstracted model of a complex decision problem; to integrate an abstracted model of climate change in the game of interest; to conduct the complete Nash equilibrium analysis of the proposed game (existence, uniqueness, expression, quantitative analysis); to conduct a detailed numerical analysis to quantify the discussed aspects such as the impact of cross-country imitation on the atmospheric global temperature in 2100.

BibTeX
@article{mroueImpactCrosscountryImitation2025,
  title = {On the Impact of Cross-Country Imitation on Climate Change: {{A}} Game-Theoretical Analysis},
  shorttitle = {On the Impact of Cross-Country Imitation on Climate Change},
  author = {Mrou{\'e}, Bouchra and Couthures, Anthony and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  year = 2025,
  month = jun,
  journal = {IFAC Journal of Systems and Control},
  volume = {32},
  pages = {100309},
  issn = {2468-6018},
  doi = {10.1016/j.ifacsc.2025.100309}
}

Global Synchronization of Multi-Agent Systems With Nonlinear Interactions **Anthony Couthures**, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu May 1, 2025
2025IEEE L-CSS

Anthony Couthures, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu. 2025. Global Synchronization of Multi-Agent Systems With Nonlinear Interactions. IEEE Control Systems Letters 9: 354-359. doi: 10.1109/LCSYS.2025.3573563.

Paper PDF Slides PDF
Abstract

This letter addresses the synchronization of multi-agent systems with continuous-time dynamics interacting through a very general class of monotonic continuous signal functions that covers estimation biases, approximation of discrete quantization, or state-dependent estimation. Our analysis reveals that, in the setup under consideration, synchronization equilibria are exactly the fixed points of the signal function. We also derive intuitive stability conditions based on whether the signal underestimates or overestimates the state of the agents around these fixed points. Moreover, we show that network topology plays a crucial role in asymptotic synchronization. These results provide interesting insights into the interplay between communication nonlinearity and network connectivity, paving the way for advanced coordination strategies in complex systems.

BibTeX
@article{couthuresGlobalSynchronizationMultiAgent2025,
  title = {Global {{Synchronization}} of {{Multi-Agent Systems With Nonlinear Interactions}}},
  author = {Couthures, Anthony and Satheeskumar Varma, Vineeth and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  year = 2025,
  month = may,
  journal = {IEEE Control Systems Letters},
  volume = {9},
  pages = {354--359},
  issn = {2475-1456},
  doi = {10.1109/LCSYS.2025.3573563}
}

Analysis of an Opinion Dynamics Model Coupled with an External Environmental Dynamics **Anthony Couthures**, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu Dec 1, 2024
2024Chaos, Solitons & Fractals

Anthony Couthures, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu. 2024. Analysis of an Opinion Dynamics Model Coupled with an External Environmental Dynamics. Chaos, Solitons & Fractals 189: 115719. doi: 10.1016/j.chaos.2024.115719.

Paper PDF
Abstract

We consider a set of individuals, referred to as agents, whose opinions evolve according to nonlinear dynamics. Their opinions impact their behavior or actions, which in turn affect their local environment (for example, via pollution, contamination of a virus, etc.). Each agent can also perceive or observe a signal about the environment, and is influenced by this external signal. This yields a coupled dynamics (opinion and external signal), which behaves in a similar manner to the prey–predator models. One of the main features of our study is that the information provided by the external signal has a significant impact on the opinion dynamics. When the coupling is strong, the external signal may induce either chaotic behavior or convergence towards a limit cycle. When the coupling with the external signal is weak, the classical behavior characterized by local agreements in polarized clusters is observed. In both cases, conditions under which clusters of individuals do not change their actions are provided. Numerical examples are provided to illustrate the derived analytical results.

BibTeX
@article{couthuresAnalysisOpinionDynamics2024,
  title = {Analysis of an Opinion Dynamics Model Coupled with an External Environmental Dynamics},
  author = {Couthures, Anthony and Satheeskumar Varma, Vineeth and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  year = 2024,
  month = dec,
  journal = {Chaos, Solitons \& Fractals},
  volume = {189},
  pages = {115719},
  issn = {0960-0779},
  doi = {10.1016/j.chaos.2024.115719},
  language = {en}
}

No matching items

Conference Proceedings

Bifurcation Analysis of an Opinion Dynamics Model Coupled with an Environmental Dynamics **Anthony Couthures**, Anastasia Bizyaeva, Vineeth Satheeskumar Varma, Alessio Franci, and Irinel-Constantin Morărescu Dec 1, 2025
2025CDC

Anthony Couthures, Anastasia Bizyaeva, Vineeth Satheeskumar Varma, Alessio Franci, and Irinel-Constantin Morărescu. 2025. Bifurcation Analysis of an Opinion Dynamics Model Coupled with an Environmental Dynamics. 2025 IEEE 64th Conference on Decision and Control (CDC) : 3830-3835. doi: 10.1109/CDC57313.2025.11312255.

Paper PDF Slides PDF
Abstract

We consider an opinion dynamics model coupled with an environmental dynamics. Based on a forward invariance argument, we can simplify the analysis of the asymptotic behavior to the case when all the opinions in the social network are synchronized. Our goal is to emphasize the role of the trust given to the environmental signal in the asymptotic behavior of the opinion dynamics and implicitly of the coupled system. To do that, we conduct a bifurcation analysis of the system around the origin when the trust parameter is varying. Specific conditions are presented for both pitchfork and Hopf bifurcation. Numerical illustration completes the theoretical findings.

BibTeX
@inproceedings{couthuresBifurcationAnalysisOpinion2025a,
  title = {Bifurcation Analysis of an Opinion Dynamics Model Coupled with an Environmental Dynamics},
  booktitle = {2025 {{IEEE}} 64th {{Conference}} on {{Decision}} and {{Control}} ({{CDC}})},
  author = {Couthures, Anthony and Bizyaeva, Anastasia and Satheeskumar Varma, Vineeth and Franci, Alessio and Mor{\u a}rescu, Irinel-Constantin},
  year = 2025,
  month = dec,
  pages = {3830--3835},
  issn = {2576-2370},
  doi = {10.1109/CDC57313.2025.11312255}
}

An Optimization Setup of the Decarbonization Problem in the Transportation Sector **Anthony Couthures**, Prunelle Vogler, Olivier Beaude, Samson Lasaulce, and Irinel-Constantin Morărescu Oct 1, 2024
2024NETGCOOP

Anthony Couthures, Prunelle Vogler, Olivier Beaude, Samson Lasaulce, and Irinel-Constantin Morărescu. 2024. An Optimization Setup of the Decarbonization Problem in the Transportation Sector. 11th International Conference on Network Games, Control and Optimization, NETGCOOP 2024.

Paper PDF Slides PDF
Abstract

This paper proposes an optimization-based formulation of the decarbonization problem for the transportation sector, one of the main sources of CO2 emissions. An important feature of the proposed approach is that a detailed model is considered i.e., with different transportation modes and compositions of the associated fleets of vehicles. Using real data, this optimization problem is solved numerically under monetary and CO2 emissions constraints, but also constraints ensuring the feasibility of the transition. The obtained control actions provide insights into the transition from existing transportation modes to more sustainable ones. A discussion is made on the complexity of this problem: the dependency of resolution time on the budget values is in particular numerically assessed.

BibTeX
@inproceedings{couthuresOptimizationSetupDecarbonization2024,
  title = {An Optimization Setup of the Decarbonization Problem in the Transportation Sector},
  booktitle = {11th {{International Conference}} on {{Network Games}}, {{Control}} and {{Optimization}}, {{NETGCOOP}} 2024},
  author = {Couthures, Anthony and Vogler, Prunelle and Beaude, Olivier and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  year = 2024,
  month = oct,
  address = {Lille, France}
}

Analysis of a Continuous Opinion and Discrete Action Model Coupled with an External Dynamics **Anthony Couthures**, Thomas Mongaillard, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu Jun 1, 2024
2024ECC

Anthony Couthures, Thomas Mongaillard, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu. 2024. Analysis of a Continuous Opinion and Discrete Action Model Coupled with an External Dynamics. 2024 European Control Conference (ECC) : 3392-3397. doi: 10.23919/ECC64448.2024.10591291.

Paper PDF Slides PDF
Abstract

We consider a set of consumers in a city or town whose opinion is governed by a continuous opinion and discrete action (CODA) dynamics model. This dynamics is coupled with an observation signal dynamics, which defines the information on the common pollution that the consumers can access. We show that the external observation signal has a significant impact on the asymptotic behavior of the CODA model. When the coupling is strong, it induces either a chaotic behavior or convergence towards a limit cycle. When the coupling is weak, a more classical behavior characterized by local agreements in polarized clusters is observed. In both cases, conditions under which clusters of consumers don't change their actions are provided. Numerical examples are provided to illustrate the derived analytical results.

BibTeX
@inproceedings{couthuresAnalysisContinuousOpinion2024c,
  title = {Analysis of a {{Continuous Opinion}} and {{Discrete Action Model Coupled}} with an {{External Dynamics}}},
  booktitle = {2024 {{European Control Conference}} ({{ECC}})},
  author = {Couthures, Anthony and Mongaillard, Thomas and Satheeskumar Varma, Vineeth and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  year = 2024,
  month = jun,
  pages = {3392--3397},
  doi = {10.23919/ECC64448.2024.10591291}
}

A Quadratic Static Game Model for Assessing the Impact of Climate Change Bouchra Mroué, **Anthony Couthures**, Samson Lasaulce, and Irinel-Constantin Morărescu Jan 1, 2024
2024Complex Networks

Bouchra Mroué, Anthony Couthures, Samson Lasaulce, and Irinel-Constantin Morărescu. 2024. A Quadratic Static Game Model for Assessing the Impact of Climate Change. Complex Networks & Their Applications XII : 383-394. doi: 10.1007/978-3-031-53499-7_31.

Paper PDF
Abstract

The Conference of Parties (COP) aims to address the global warming problem through agreements for reducing emissions. However, the current strategies fall short due to minimal efforts for emission reductions driven by short-term economic considerations. To better understand under which circumstances countries may have more virtuous behavior, we propose a static game model. In this model, the players are represented by governments, and their actions correspond to emissions levels. The utilities are a trade-off between economic benefits and damage caused by climate change. A key feature of the game is that it is parameterized by a state, which is precisely the state of the climate dynamics. We conduct the Nash equilibrium analysis. In the numerical analysis, we assess the impact of the damage function on the behavior of the governments.

BibTeX
@inproceedings{mroueQuadraticStaticGame2024,
  title = {A {{Quadratic Static Game Model}} for {{Assessing}} the {{Impact}} of {{Climate Change}}},
  booktitle = {Complex {{Networks}} \& {{Their Applications XII}}},
  author = {Mrou{\'e}, Bouchra and Couthures, Anthony and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  editor = {Cherifi, Hocine and Rocha, Luis M. and Cherifi, Chantal and Donduran, Murat},
  year = 2024,
  pages = {383--394},
  publisher = {Springer Nature Switzerland},
  address = {Cham},
  doi = {10.1007/978-3-031-53499-7_31},
  isbn = {978-3-031-53499-7},
  language = {en}
}

Une Approche Par La Théorie Des Jeux Du Problème Du Choix Des Niveaux Nationaux d'émissions de CO2 Bouchra Mroué, **Anthony Couthures**, Samson Lasaulce, and Irinel-Constantin Morărescu Jan 1, 2023
2023GRETSI

Bouchra Mroué, Anthony Couthures, Samson Lasaulce, and Irinel-Constantin Morărescu. 2023. Une Approche Par La Théorie Des Jeux Du Problème Du Choix Des Niveaux Nationaux d'émissions de CO2. XXIXème Colloque Francophone de Traitement Du Signal et Des Images, GRETSI 2023.

Paper PDF
Abstract

In this work, we propose a static game model, in which the players are the governments, the action of a player is the level of CO2 emissions they plan to emit until the next international agreements and the utilities represent a trade-off between the benefit that depends on emissions and the overall damage caused by climate change. We study the existence of a Nash equilibrium of the proposed game and give sufficient conditions for its uniqueness.

BibTeX
@inproceedings{mroueApprocheParTheorie2023,
  title = {Une Approche Par La Th\'eorie Des Jeux Du Probl\`eme Du Choix Des Niveaux Nationaux d'\'emissions de {{CO2}}},
  booktitle = {{{XXIX\`eme Colloque Francophone}} de {{Traitement}} Du {{Signal}} et Des {{Images}}, {{GRETSI}} 2023},
  author = {Mrou{\'e}, Bouchra and Couthures, Anthony and Lasaulce, Samson and Mor{\u a}rescu, Irinel-Constantin},
  year = 2023
}

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Scientific Software & Code

Social Learning Community Detection **Anthony Couthures** Oct 1, 2026
2026Code

Anthony Couthures. 2026. Social Learning Community Detection. Zenodo Software Archive. doi: 10.5281/zenodo.23317344.

Simulator Demo GitHub Data
BibTeX
@misc{couthuresSocialLearningCommunity2026a,
  title = {Social Learning Community Detection},
  author = {Couthures, Anthony},
  year = 2026,
  month = oct,
  doi = {10.5281/zenodo.23317344},
  howpublished = {Zenodo}
}

Worst-Case LTI Perturbations of Finite-Horizon LQR: A Performance Estimation Problem Approach **Anthony Couthures** Oct 1, 2026
2026Code

Anthony Couthures. 2026. Worst-Case LTI Perturbations of Finite-Horizon LQR: A Performance Estimation Problem Approach. Zenodo Software Archive. doi: 10.5281/zenodo.23161489.

GitHub Data
BibTeX
@misc{couthuresWorstcaseLTIPerturbations2026,
  title = {Worst-Case {{LTI}} Perturbations of Finite-Horizon {{LQR}}: A Performance Estimation Problem Approach},
  author = {Couthures, Anthony},
  year = 2026,
  month = oct,
  doi = {10.5281/zenodo.23161489},
  howpublished = {Zenodo},
  swhid = {swh:1:dir:13fb55d7640b7293cf3b4190a3f2cda93affbeb9;origin=https://doi.org/10.5281/zenodo.23161488;visit=swh:1:snp:99f6efc42950ec47eaf20dcae55eadc2bc31f514;anchor=swh:1:rel:2e2867d940827d477db1d47cd6f6a6f43bc29e88;path=AnthonyCouthures-PEP-LQR-135891e}
}

COSA-Simulator **Anthony Couthures** Oct 1, 2025
2025Code

Anthony Couthures. 2025. COSA-Simulator. Zenodo Software Archive. doi: 10.5281/zenodo.17407391.

Simulator Demo GitHub Data
Abstract

An interactive Jupyter simulator for COSA and studying nonlinear consensus in multi-agent systems.

BibTeX
@misc{couthuresCOSASimulator2025,
  title = {{{COSA-Simulator}}},
  author = {Couthures, Anthony},
  year = 2025,
  month = oct,
  doi = {10.5281/zenodo.17407391}
}

Private-Transport-Sector-Optimization-Model **Anthony Couthures** Jun 1, 2024
2024Code

Anthony Couthures. 2024. Private-Transport-Sector-Optimization-Model. Zenodo Software Archive. doi: 10.5281/zenodo.12205178.

GitHub Data
Abstract

This repository contains the code for an optimization-based approach to decarbonizing the transportation sector, focusing on various transportation modes and vehicle fleet compositions.

BibTeX
@misc{couthuresPrivateTransportSectorOptimizationModel2024,
  title = {Private-{{Transport-Sector-Optimization-Model}}},
  author = {Couthures, Anthony},
  year = 2024,
  month = jun,
  doi = {10.5281/zenodo.12205178}
}

CO2-Game **Anthony Couthures** Mar 1, 2023
2023Code

Anthony Couthures. 2023. CO2-Game. Software.

GitHub
Abstract

A jupyter notebook simulator for the CO2 game.

BibTeX
@misc{couthuresCO2Game2023,
  title = {{{CO2-Game}}},
  author = {Couthures, Anthony},
  year = 2023,
  month = mar
}

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