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We develop a tractable model for studying strategic interactions between learning algorithms. We uncover a mechanism responsible for the emergence of algorithmic collusion. We observe that algorithms periodically coordinate on actions that…

Theoretical Economics · Economics 2023-09-20 Martino Banchio , Giacomo Mantegazza

This paper investigates Nash equilibria (NEs) in multi-player turn-based games on graphs, where player preferences are modeled as $\omega$-automatic relations via deterministic parity automata. Unlike much of the existing literature, which…

Logic in Computer Science · Computer Science 2026-01-23 Véronique Bruyère , Christophe Grandmont , Jean-François Raskin

The Tangle-based structure becomes one of the most promising solutions when designing DAG-based blockchain systems. The approach improves the scalability by directly confirming multiple transactions in parallel instead of single blocks in…

Cryptography and Security · Computer Science 2020-08-13 Bozhi Wang , Qin Wang , Shiping Chen , Yang Xiang

Modern random access mechanisms combine packet repetitions with multi-user detection mechanisms at the receiver to maximize the throughput and reliability in massive Internet of Things (IoT) scenarios. However, optimizing the access policy,…

We study a network extension to the Nash bargaining game, as introduced by Kleinberg and Tardos (STOC'08), where the set of players corresponds to vertices in a graph $G=(V,E)$ and each edge $ij\in E$ represents a possible deal between…

Computer Science and Game Theory · Computer Science 2012-07-31 Jochen Koenemann , Kate Larson , David Steiner

In this paper, we study a model of network formation in large populations. Each agent can choose the strength of interaction (i.e. connection) with other agents to find a Nash equilibrium. Different from the recently-developed theory of…

Optimization and Control · Mathematics 2025-08-07 Gokce Dayanikli , Mathieu Lauriere

Tangle is a distributed ledger technology that stores data as a directed acyclic graph (DAG). Unlike blockchain, Tangle does not require dedicated miners for its operation; this makes Tangle suitable for Internet of Things (IoT)…

Networking and Internet Architecture · Computer Science 2023-04-20 Anurag Gupta , Vikram Krishnamurthy

This paper considers dyadic-exchange networks in which individual agents autonomously form coalitions of size two and agree on how to split a transferable utility. Valid results for this game include stable (if agents have no unilateral…

Optimization and Control · Mathematics 2014-06-04 Dean Richert , Jorge Cortes

Quantum games, like quantum algorithms, exploit quantum entanglement to establish strong correlations between strategic player actions. This paper introduces quantum game-theoretic models applied to trading and demonstrates their…

Quantum Physics · Physics 2025-04-21 Faisal Shah Khan , Norbert M. Linke , Anton Trong Than , Dror Baron

In this paper, we study the problem of consensus-based distributed Nash equilibrium (NE) seeking where a network of players, abstracted as a directed graph, aim to minimize their own local cost functions non-cooperatively. Considering the…

Systems and Control · Electrical Eng. & Systems 2023-04-21 Wei Huo , Kam Fai Elvis Tsang , Yamin Yan , Karl Henrik Johansson , Ling Shi

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

Optimization and Control · Mathematics 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

Recently, Directed Acyclic Graph (DAG) based Distributed Ledgers have been proposed for various applications in the smart mobility domain [1]. While many application studies have been described in the literature, an open problem in the DLT…

Systems and Control · Computer Science 2019-04-01 Andrew Cullen , Pietro Ferraro , Christopher King , Robert Shorten

This paper describes how Distributed Ledger Technologies can be used to design a class of cyber-physical systems, as well as to enforce social contracts and to orchestrate the behaviour of agents trying to access a shared resource. The…

Systems and Control · Computer Science 2019-11-12 Pietro Ferraro , Christopher King , Robert Shorten

In order to fully unlock the transformative power of distributed ledgers and blockchains, it is crucial to develop innovative consensus algorithms that can overcome the obstacles of security, scalability, and interoperability, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-16 Amirhossein Taherpour , Xiaodong Wang

We study the high-frequency limit of an $n$-trader optimal execution game in discrete time. Traders face transient price impact of Obizhaeva--Wang type in addition to quadratic instantaneous trading costs $\theta(\Delta X_t)^2$ on each…

Trading and Market Microstructure · Quantitative Finance 2025-12-15 Marcel Nutz , Alessandro Prosperi

This paper considers the design of fully distributed Nash equilibrium seeking strategies for multi-agent games. To develop fully distributed seeking strategies, two adaptive control laws, including a node-based control law and an edge-based…

Optimization and Control · Mathematics 2019-12-03 Maojiao Ye , Guoqiang Hu

We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

Optimization and Control · Mathematics 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

We present a new methodology for computing approximate Nash equilibria for two-person non-cooperative games based upon certain extensions and specializations of an existing optimization approach previously used for the derivation of fixed…

Computer Science and Game Theory · Computer Science 2009-09-28 Haralampos Tsaknakis , Paul G. Spirakis

This paper studies $n$-person simultaneous-move games with linear best response function, where individuals interact within a given network structure. This class of games have been used to model various settings, such as, public goods,…

Computer Science and Game Theory · Computer Science 2011-06-14 Victor M. Preciado , Jaelynn Oh , Ali Jadbabaie

Recently, a new model extending the standard replicator equation to a finite set of players connected on an arbitrary graph was developed in evolutionary game dynamics. The players are interpreted as subpopulations of multipopulations…

Computer Science and Game Theory · Computer Science 2021-11-16 Jean Carlo Moraes