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Despite technological advancements, the significance of interdisciplinary subjects like complex networks has grown. Exploring communication within these networks is crucial, with traffic becoming a key concern due to the expanding…

Networking and Internet Architecture · Computer Science 2024-01-02 Seyed Hassan Yajadda , Farshad Safaei

We study routing games in which travelers optimize over routes that are remembered or surfaced, rather than over a fixed exogenous action set. The paper develops a tractable design theory for endogenous recall and then connects it back to…

Computer Science and Game Theory · Computer Science 2026-04-14 Saad Alqithami

We provide a general approach to reformulating any continuous-time stochastic Stackelberg differential game under closed-loop strategies as a single-level optimisation problem with target constraints. More precisely, we consider a…

Optimization and Control · Mathematics 2026-05-14 Camilo Hernández , Nicolás Hernández Santibáñez , Emma Hubert , Dylan Possamaï

Beyond specific settings, many multi-agent learning algorithms fail to converge to an equilibrium solution, instead displaying complex, non-stationary behaviours such as recurrent or chaotic orbits. In fact, recent literature suggests that…

Multiagent Systems · Computer Science 2026-02-12 Dan Leonte , Aamal Hussain , Raphael Huser , Francesco Belardinelli , Dario Paccagnan

We study the problem of finding equilibrium strategies in multi-agent games with incomplete payoff information, where the payoff matrices are only known to the players up to some bounded uncertainty sets. In such games, an ex-post…

Computer Science and Game Theory · Computer Science 2020-07-14 Wenshuo Guo , Mihaela Curmei , Serena Wang , Benjamin Recht , Michael I. Jordan

Many interactions result in a socially suboptimal equilibrium, or in a non-equilibrium state, from which arriving at an equilibrium through simple dynamics can be impossible of too long. Aiming to achieve a certain equilibrium, we persuade,…

Computer Science and Game Theory · Computer Science 2023-12-07 Gleb Polevoy , Jonas Schweichhart

Active biological flow networks pervade nature and span a wide range of scales, from arterial blood vessels and bronchial mucus transport in humans to bacterial flow through porous media or plasmodial shuttle streaming in slime molds.…

Biological Physics · Physics 2016-07-28 Francis G. Woodhouse , Aden Forrow , Joanna B. Fawcett , Jörn Dunkel

We study a class of deterministic mean field games and related optimal control problems, with a finite time horizon and in which the state space is a network. An agent controls her velocity, and, when she occupies a vertex, she can either…

Optimization and Control · Mathematics 2025-11-25 Yves Achdou , Claudio Marchi , Nicoletta Tchou

We study bottleneck routing games where the social cost is determined by the worst congestion on any edge in the network. Bottleneck games have been studied in the literature by having the player's utility costs to be determined by the…

Computer Science and Game Theory · Computer Science 2009-11-24 Rajgopal Kannan , Costas Busch

We propose a model of discrete time dynamic congestion games with atomic players and a single source-destination pair. The latencies of edges are composed by free-flow transit times and possible queuing time due to capacity constraints. We…

Computer Science and Game Theory · Computer Science 2019-01-03 Marco Scarsini , Marc Schröder , Tristan Tomala

We present novel oblivious routing algorithms for both splittable and unsplittable multicommodity flow. Our algorithm for minimizing congestion for \emph{unsplittable} multicommodity flow is the first oblivious routing algorithm for this…

Data Structures and Algorithms · Computer Science 2017-12-07 Michael Schapira , Gal Shahaf

We consider stochastic differential games with a large number of players, with the aim of quantifying the gap between closed-loop, open-loop and distributed equilibria. We show that, under two different semi-monotonicity conditions, the…

Probability · Mathematics 2025-05-06 Marco Cirant , Joe Jackson , Davide Francesco Redaelli

Flows over time have received substantial attention from both an optimization and (more recently) a game-theoretic perspective. In this model, each arc has an associated delay for traversing the arc, and a bound on the rate of flow entering…

Data Structures and Algorithms · Computer Science 2019-12-03 Dario Frascaria , Neil Olver

The multicommodity flow problem is a classic problem in network flow and combinatorial optimization, with applications in transportation, communication, logistics, and supply chain management, etc. Existing algorithms often focus on…

Data Structures and Algorithms · Computer Science 2023-04-25 Li Chen , Mingquan Ye

The paper investigates the throughput behavior of single-commodity dynamical flow networks governed by monotone distributed routing policies. The networks are modeled as systems of ODEs based on mass conversation laws on directed graphs…

Optimization and Control · Mathematics 2014-05-08 Giacomo Como , Enrico Lovisari , Ketan Savla

Stable flows generalize the well-known concept of stable matchings to markets in which transactions may involve several agents, forwarding flow from one to another. An instance of the problem consists of a capacitated directed network, in…

Discrete Mathematics · Computer Science 2018-12-27 Ágnes Cseh , Jannik Matuschke

In this paper, we consider contention resolution on a multiple-access communication channel. In this problem, a set of nodes arrive over time, each with a message it intends to send. In each time slot, each node may attempt to broadcast its…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-22 Haimin Chen , Yonggang Jiang , Chaodong Zheng

Recent studies on transportation networks have shown that real-time route guidance can inadvertently induce congestion or oscillatory traffic patterns. Nevertheless, such technologies also offer a promising opportunity to manage traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Shaya Garjani , Ashish Cherukuri , Bayu Jayawardhana , Nima Monshizadeh

Strategic interaction in congested systems is commonly modelled using Stackelberg games, where competing leaders anticipate the behaviour of self-interested followers. A key limitation of existing models is that they typically ignore agents…

Multiagent Systems · Computer Science 2026-03-06 Niloofar Aminikalibar , Farzaneh Farhadi , Maria Chli

We study the following repeated non-atomic routing game. In every round, nature chooses a state in an i.i.d. manner according to a publicly known distribution, which influences link latency functions. The system planner makes private route…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Yixian Zhu , Ketan Savla
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