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This paper addresses the consensus problem of first-order continuous-time multi-agent systems over undirected graphs. Each agent samples relative state measurements in a self-triggered fashion and transmits the sum of the measurements to…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Masashi Wakaiki

Binary kinetic exchange models, where money is shuffled between two agents at a time, reproduce the Boltzmann Gibbs exponential wealth distribution but cannot address the multi party trades common in real markets. We generalize the exchange…

Physics and Society · Physics 2026-05-28 Suchismita Banerjee

Motivated by the scarcity of accurate payoff feedback in practical applications of game theory, we examine a class of learning dynamics where players adjust their choices based on past payoff observations that are subject to noise and…

Optimization and Control · Mathematics 2016-06-03 Mario Bravo , Panayotis Mertikopoulos

This paper addresses novel consensus problems in the presence of adversaries that can move within the network and induce faulty behaviors in the attacked agents. By adopting several mobile adversary models from the computer science…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Yuan Wang , Hideaki Ishii , François Bonnet , Xavier Défago

This paper presents a finite-time heterogeneous cyclic pursuit scheme that ensures consensus among agents modelled as integrators. It is shown that for the proposed sliding mode control, even when the gains corresponding to each agent are…

Systems and Control · Computer Science 2018-11-29 Dwaipayan Mukherjee , Shashi Ranjan Kumar

In this paper a consensus has been constructed in a social network which is modeled by a stochastic differential game played by agents of that network. Each agent independently minimizes a cost function which represents their motives. A…

Statistics Theory · Mathematics 2021-07-13 Paramahansa Pramanik

We formulate computation offloading as a decentralized decision-making problem with autonomous agents. We design an interaction mechanism that incentivizes agents to align private and system goals by balancing between competition and…

Multiagent Systems · Computer Science 2022-06-22 Jing Tan , Ramin Khalili , Holger Karl , Artur Hecker

This paper presents karma mechanisms, a novel approach to the repeated allocation of a scarce resource among competing agents over an infinite time. Examples include deciding which ride hailing trip requests to serve during peak demand,…

Theoretical Economics · Economics 2023-05-09 Ezzat Elokda , Saverio Bolognani , Andrea Censi , Florian Dörfler , Emilio Frazzoli

We study interpersonal trust by means of the all-or-nothing public goods game between agents on a network. The agents are endowed with the simple yet adaptive learning rule, exponential moving average, by which they estimate the behavior of…

Computer Science and Game Theory · Computer Science 2024-12-31 Benedikt Valentin Meylahn

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

Machine Learning · Computer Science 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

The biased interaction game described the operation of systems rooted in boundedly rational interactions under conditions of scarcity. The game explored the influence of bias and demonstrated how hierarchy and inequality are emergent system…

Computer Science and Game Theory · Computer Science 2026-03-10 Phil Mercy , Martin Neil

This paper focuses on analyzing the finite-time convergence of a nonlinear consensus algorithm for multi-agent networks with unknown inherent nonlinear dynamics. Due to the existence of the unknown inherent nonlinear dynamics, the stability…

Optimization and Control · Mathematics 2013-02-21 Yongcan Cao , Wei Ren

This paper addresses the problem of adaptively controlling the bias parameter in nonlinear opinion dynamics (NOD) to allocate agents into groups of arbitrary sizes for the purpose of maximizing collective rewards. In previous work, an…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Tyler M. Paine , Anastasia Bizyaeva , Michael R. Benjamin

This paper examines resilient dynamic leader-follower consensus within multi-agent systems, where agents share first-order or second-order dynamics. The aim is to develop distributed protocols enabling nonfaulty/normal followers to…

Multiagent Systems · Computer Science 2025-11-25 Liwei Yuan , Hideaki Ishii

A generalized family of Adversary Robust Consensus protocols is proposed and analyzed. These are distributed algorithms for multi-agents systems seeking to agree on a common value of a shared variable, even in the presence of faulty or…

Systems and Control · Electrical Eng. & Systems 2024-12-20 David Angeli , Sabato Manfredi

We use the Minority Game and some of its variants to show how efficiency depends on learning in models of agents competing for limited resources. Exact results from statistical physics give a clear understanding of the phenomenology, and…

Condensed Matter · Physics 2007-05-23 Damien Challet

Dynamic game theory is an increasingly popular tool for modeling multi-agent, e.g. human-robot, interactions. Game-theoretic models presume that each agent wishes to minimize a private cost function that depends on others' actions. These…

Robotics · Computer Science 2025-10-17 Cade Armstrong , Ryan Park , Xinjie Liu , Kushagra Gupta , David Fridovich-Keil

The guaranteed-performance consensualization for high-order linear and nonlinear multiagent systems with switching topologies is respectively realized in a completely distributed manner in the sense that consensus design criteria are…

Systems and Control · Computer Science 2018-06-27 Jianxiang Xi , Cheng Wang , Hao Liu , Le Wang

The focus of this paper is a Bayesian framework for solving a class of problems termed multi-agent inverse reinforcement learning (MIRL). Compared to the well-known inverse reinforcement learning (IRL) problem, MIRL is formalized in the…

Computer Science and Game Theory · Computer Science 2019-07-31 Xiaomin Lin , Peter A. Beling , Randy Cogill

This short note demonstrates how one can define a transformation of a non-zero sum game into a zero sum, so that the optimal mixed strategy achieving equilibrium always exists. The transformation is equivalent to introduction of a passive…

Computer Science and Game Theory · Computer Science 2010-10-14 Roman V. Belavkin
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