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We study the poor-biased model for money exchange introduced in [2]: agents are being randomly picked at a rate proportional to their current wealth, and then the selected agent gives a dollar to another agent picked uniformly at random.…

概率论 · 数学 2025-01-15 Roberto Cortez , Fei Cao

In this paper, we investigate the number of customers that overlap or coincide with a virtual customer in an Erlang-A queue. Our study provides a novel approach that exploits fluid and diffusion limits for the queue to approximate the mean…

概率论 · 数学 2025-07-02 Young Myoung Ko , Jamol Pender , Jin Xu

In this paper, we analyze the asymptotic behavior of a system of interacting reinforced stochastic processes $({\bf Z}_n, {\bf N}_n)_n$ on a directed network of $N$ agents. The system is defined by the coupled dynamics ${\bf…

统计理论 · 数学 2025-11-11 Li Yang , Dandan Jiang , Jiang Hu , Zhidong Bai

We consider the ferromagnetic large-$q$ state Potts model in complex evolving networks, which is equivalent to an optimal cooperation problem, in which the agents try to optimize the total sum of pair cooperation benefits and the supports…

统计力学 · 物理学 2010-08-09 M. Karsai , J-Ch. Anglès d'Auriac , F. Iglói

Correlated equilibria arise naturally when agents communicate or rely on intermediaries such as recommendation systems. We study when a given Nash equilibrium can be improved within the set of correlated equilibria for general objectives.…

理论经济学 · 经济学 2026-05-01 Kirill Rudov , Fedor Sandomirskiy , Leeat Yariv

We review recent work on systems with multiple interacting-particles having the dynamical feature of stochastic resetting. The interplay of time scales related to inter-particle interactions and resetting leads to a rich behavior, both…

统计力学 · 物理学 2023-07-05 Apoorva Nagar , Shamik Gupta

The situation of the decay of the metastable phase on the several types of heterogeneous centers is described analytically. The total number of heterogeneous centers is supposed to be equal for different types. This description decomposes…

统计力学 · 物理学 2007-05-23 V. Kurasov

We review a body of recent work by the author and collaborators on controlling the spatial organisation of large agent populations across multiple scales. A central theme is the systematic bridging of microscopic agent-level dynamics and…

系统与控制 · 电气工程与系统科学 2026-03-17 Mario di Bernardo

Relational networks within a team play a critical role in the performance of many real-world multi-robot systems. To successfully accomplish tasks that require cooperation and coordination, different agents (e.g., robots) necessitate…

机器人学 · 计算机科学 2023-10-20 Yasin Findik , Hamid Osooli , Paul Robinette , Kshitij Jerath , S. Reza Ahmadzadeh

Challenges in real-world robotic applications often stem from managing multiple, dynamically varying entities such as neighboring robots, manipulable objects, and navigation goals. Existing multi-agent control strategies face scalability…

机器人学 · 计算机科学 2024-02-29 Tianxu An , Joonho Lee , Marko Bjelonic , Flavio De Vincenti , Marco Hutter

This paper studies the consensus problem of multi-agent systems with asymmetric and reducible topologies. Centralized event-triggered rules are provided so as to reduce the frequency of system's updating. The diffusion coupling feedbacks of…

适应与自组织系统 · 物理学 2014-07-08 Xinlei Yi , Wenlian Lu , Tianping Chen

People organize in groups and contagions spread across them. A simple stochastic process, yet complex to model due to dynamical correlations within and between groups. Moreover, groups can evolve if agents join or leave in response to…

物理与社会 · 物理学 2025-05-22 Giulio Burgio , Guillaume St-Onge , Laurent Hébert-Dufresne

The entanglement properties of systems in which elastic and inelastic reactions occur in projectile-target interactions is studied. A new measure of entanglement, the scattering entropy, based on the unitarity of the $S-$matrix (probability…

核理论 · 物理学 2023-06-27 Gerald A. Miller

The main contribution of this paper resides in developing a new algorithmic approach for addressing the continuous-time joint replenishment problem, termed $\Psi$-pairwise alignment. The latter mechanism, through which we synchronize…

数据结构与算法 · 计算机科学 2023-02-21 Danny Segev

We study the criticality of a Potts interface by introducing a {\it froth} model which, unlike its SOS Ising counterpart, incorporates bubbles of different phases. The interface is fractal at the phase transition of a pure system. However,…

凝聚态物理 · 物理学 2016-08-31 Mehran Kardar , Attilio L. Stella , Giovanni Sartoni , Bernard Derrida

We model a system of networking agents that seek to optimize their centrality in the network while keeping their cost, the number of connections they are participating in, low. Unlike other game-theory based models for network evolution,…

种群与进化 · 定量生物学 2007-05-23 Petter Holme , Gourab Ghoshal

When are multi-agent LLM systems merely a collection of individual agents versus an integrated collective with higher-order structure? We introduce an information-theoretic framework to test -- in a purely data-driven way -- whether…

多智能体系统 · 计算机科学 2026-04-30 Christoph Riedl

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

种群与进化 · 定量生物学 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

We study overpricing in a repeated game between two representative agents: a market maker, who controls market liquidity, and a market taker, who chooses trade quantities. Market prices evolve through the endogenous price impact of trades…

交易与市场微观结构 · 定量金融 2026-05-12 Luigi Foscari , Emanuele Guidotti , Nicolò Cesa-Bianchi , Tatjana Chavdarova , Alfio Ferrara

In recent years, various decentralized organizational forms have emerged, posing a challenge for organizational design. Some design elements, such as task allocation, become emergent properties that cannot be fully controlled from the top…

综合经济学 · 经济学 2023-01-03 Stephan Leitner
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