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This paper studies the operation of multi-agent networks engaged in multi-task decision problems under the paradigm of simultaneous learning and adaptation. Two scenarios are considered: one in which a decision must be taken among multiple…

Signal Processing · Electrical Eng. & Systems 2019-12-13 Stefano Marano , Ali H. Sayed

A large number of biological systems - from bacteria to sheep - can be described as ensembles of self-propelled agents (active particles) with a complex internal dynamic that controls the agent's behavior: resting, moving slow, moving fast,…

Biological Physics · Physics 2021-09-03 L. Gómez-Nava , T. Goudon , F. Peruani

A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position and their probability of belonging to a certain population.…

Optimization and Control · Mathematics 2021-06-15 Giacomo Albi , Stefano Almi , Marco Morandotti , Francesco Solombrino

A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

Multiagent Systems · Computer Science 2020-07-03 Orowa Sikder

An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method,…

Statistical Mechanics · Physics 2010-10-20 Mohammad Khorrami , Amir Aghamohammadi

Computational agents support humans in many areas of life and are therefore found in heterogeneous contexts. This means they operate in rapidly changing environments and can be confronted with huge state and action spaces. In order to…

Artificial Intelligence · Computer Science 2023-08-31 Nicole Merkle , Ralf Mikut

Deciphering travel behavior and mode choices is a critical aspect of effective urban transportation system management, particularly in developing countries where unique socio-economic and cultural conditions complicate decision-making.…

Multiagent Systems · Computer Science 2024-05-01 Kathleen Salazar-Serna , Lorena Cadavid , Carlos Franco

We consider a class of spin systems on $\Z^d$ with vector valued spins $(\bS_x)$ that interact via the pair-potentials $J_{x,y} \bS_x\cdot\bS_y$. The interactions are generally spread-out in the sense that the $J_{x,y}$'s exhibit either…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Lincoln Chayes , Nicholas Crawford

We study the average long-time behavior of the binary opinions of a social group with peer-to-peer interactions under the influence of an external bias and a persuadable leader, a strongly-biased agent with a dynamic opinion with the…

Statistical Mechanics · Physics 2024-05-30 Tiago S. A. N. Simões , Antonio Coniglio , Hans J. Herrmann , Lucilla de Arcangelis

Building a socially intelligent agent involves many challenges. One of which is to track the agent's mental state transition and teach the agent to make decisions guided by its value like a human. Towards this end, we propose to incorporate…

Computation and Language · Computer Science 2022-07-25 Liang Qiu , Yizhou Zhao , Yuan Liang , Pan Lu , Weiyan Shi , Zhou Yu , Song-Chun Zhu

In the classical Approximate Majority problem with two opinions there are agents with Opinion 1 and with Opinion 2. The goal is to reach consensus and to agree on the majority opinion if the bias is sufficiently large. It is well known that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-13 Petra Berenbrink , Felix Biermeier , Christopher Hahn

We propose a method of classifying the operation of a system into finitely many modes. Each mode has its own objectives for the system's behaviour and its own mathematical models and algorithms designed to accomplish its objectives. A…

Logic in Computer Science · Computer Science 2021-07-14 Edwin Beggs , John V. Tucker

Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals can lead to emergent dynamics on the macroscopic scale, for instance a…

Physics and Society · Physics 2023-08-02 Luzie Helfmann , Jobst Heitzig , Péter Koltai , Jürgen Kurths , Christof Schütte

The classic Hegselmann-Krause (HK) model for opinion dynam- ics consists of a set of agents on the real line, each one instructed to move, at every time step, to the mass center of all the agents within a fixed distance R. In this work, we…

Optimization and Control · Mathematics 2015-11-26 Chu Wang , Qianxiao Li , Weinan E , Bernard Chazelle

We study long-range interacting systems driven by external stochastic forces that act collectively on all the particles constituting the system. Such a scenario is frequently encountered in the context of plasmas, self-gravitating systems,…

Statistical Mechanics · Physics 2013-12-03 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

The influence of additional information on the decision making of agents, who are interacting members of a society, is analyzed within the mathematical framework based on the use of quantum probabilities. The introduction of social…

Physics and Society · Physics 2015-10-12 V. I. Yukalov , D. Sornette

The original Deffuant model consists of a finite number of agents whose opinion is a number in $[0,1]$. Two socially connected agents are uniformly randomly selected at each time step and approach each other at a rate $\mu\in [0,1/2]$ if…

Probability · Mathematics 2021-12-07 Hsin-Lun Li

We discover the mechanism for the transition from self-segregation (into opposing groups) to clustering (towards cautious behaviors) in the evolutionary minority game (EMG). The mechanism is illustrated with a statistical mechanics analysis…

Condensed Matter · Physics 2013-05-29 Kan Chen , Bing-Hong Wang , Baosheng Yuan

Using an NMR quantum computer, we experimentally simulate the quantum phase transition of a Heisenberg spin chain. The Hamiltonian is generated by a multiple pulse sequence, the nuclear spin system is prepared in its (pseudo-pure) ground…

Quantum Physics · Physics 2009-11-10 Xinhua Peng , Jiangfeng Du , Dieter Suter

We study consumption behaviour in systems with heterogeneous interacting agents. Two different models are introduced, respectively with long and short range interactions among agents. At any time step an agent decides whether or not to…

Statistical Mechanics · Physics 2008-12-02 Giulia Iori , Vassilis Koulovassilopoulos
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