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We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

概率论 · 数学 2025-06-24 Manuel González-Navarrete

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

最优化与控制 · 数学 2020-03-05 Peng Lin , Wei Ren , Huijun Gao

According to the competitive exclusion principle, in a finite ecosystem, extinction occurs naturally when two or more species compete for the same resources. An important question that arises is: when coexistence is not possible, which…

种群与进化 · 定量生物学 2017-08-16 Marcelo Martins de Oliveira , Ronald Dickman

We consider a dynamical network model in which two competitors have fixed and different states, and each normal agent adjusts its state according to a distributed consensus protocol. The state of each normal agent converges to a steady…

物理与社会 · 物理学 2014-05-21 Jiuhua Zhao , Qipeng Liu , Xiaofan Wang

A network effect is introduced taking into account competition, cooperation and mixed-type interaction amongst agents along a generalized Verhulst-Lotka-Volterra model. It is also argued that the presence of a market capacity enforces an…

物理与社会 · 物理学 2017-08-29 A. Sonubi , A. Arcagni , S. Stefani , M. Ausloos

We study the two-sided stable matching problem with one-sided uncertainty for two sets of agents A and B, with equal cardinality. Initially, the preference lists of the agents in A are given but the preferences of the agents in B are…

数据结构与算法 · 计算机科学 2024-07-16 Evripidis Bampis , Konstantinos Dogeas , Thomas Erlebach , Nicole Megow , Jens Schlöter , Amitabh Trehan

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

最优化与控制 · 数学 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo

Constrained competitive optimization involves multiple agents trying to minimize conflicting objectives, subject to constraints. This is a highly expressive modeling language that subsumes most of modern machine learning. In this work we…

最优化与控制 · 数学 2020-06-19 Florian Schäfer , Anima Anandkumar , Houman Owhadi

Consider a system of autonomous interacting agents moving in space, adjusting each own velocity as a weighted mean of the relative velocities of the other agents. In order to test the robustness of the model, we assume that each pair of…

概率论 · 数学 2014-05-05 Eduardo Canale , Federico Dalmao , Ernesto Mordecki , Max Souza

Federated learning (FL) provides a promising paradigm for facilitating collaboration between multiple clients that jointly learn a global model without directly sharing their local data. However, existing research suffers from two caveats:…

人工智能 · 计算机科学 2025-06-23 Jinlong Pang , Jiaheng Wei , Yifan Hua , Chen Qian , Yang Liu

We give a fully description of the dynamics of an atom dispersively coupled to a field mode in a dissipative environment fed by an external source. The competition between the unitary atom-field (which leads to entanglement) and the…

量子物理 · 物理学 2007-05-23 J. G. Peixoto de Faria , M. C. Nemes

This paper studies a stochastic dynamic game between two competing teams, each consisting of a network of collaborating agents. Unlike fully cooperative settings, where all agents share a common objective, each team in this game aims to…

多智能体系统 · 计算机科学 2025-04-29 Yike Zhao , Haoyuan Cai , Ali H. Sayed

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

偏微分方程分析 · 数学 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

We investigate the effects of competition in a problem of resource extraction from a common source with diffusive dynamics. In the symmetric version with identical extraction rates we prove the existence of a Nash equilibrium where the…

最优化与控制 · 数学 2021-06-10 Erik Ekström , Kristoffer Lindensjö

In linear models of consensus dynamics, the state of the various agents converges to a value which is a convex combination of the agents' initial states. We call it democratic if in the large scale limit (number of agents going to infinity)…

系统与控制 · 计算机科学 2015-02-17 Fabio Fagnani , Jean-Charles Delvenne

In the new digital age, information is available in large quantities. Since information consumes primarily the attention of its recipients, the scarcity of attention is becoming the main limiting factor. In this study, we investigate the…

社会与信息网络 · 计算机科学 2014-11-26 Uzay Cetin , Haluk O. Bingol

We explore a model of non-Bayesian information aggregation in networks. Agents non-cooperatively choose among Friedkin-Johnsen type aggregation rules to maximize payoffs. The DeGroot rule is chosen in equilibrium if and only if there is…

综合经济学 · 经济学 2023-11-15 Abhijit Banerjee , Olivier Compte

We study opinion dynamics in a social network with stubborn agents who influence their neighbors but who themselves always stick to their initial opinion. We consider first the well-known DeGroot model. While it is known in the literature…

社会与信息网络 · 计算机科学 2021-01-01 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

The process by which new ideas, innovations, and behaviors spread through a large social network can be thought of as a networked interaction game: Each agent obtains information from certain number of agents in his friendship neighborhood,…

计算机科学与博弈论 · 计算机科学 2012-08-28 Javad Ghaderi , R. Srikant

This paper considers a discrete-time opinion dynamics model in which each individual's susceptibility to being influenced by others is dependent on her current opinion. We assume that the social network has time-varying topology and that…

社会与信息网络 · 计算机科学 2024-10-24 Ji Liu , Mengbin Ye , Brian D. O. Anderson , Tamer Başar , Angelia Nedić