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We study the dynamics of individual agents in some kinetic models of wealth exchange, particularly, the models with savings. For the model with uniform savings, agents perform simple random walks in the "wealth space". On the other hand, we…

Physics and Society · Physics 2011-01-04 Arnab Chatterjee , Parongama Sen

We consider a finite number of $N$ statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision Process (MDP). Transition intensities of the agents and generated rewards depend not only on…

Probability · Mathematics 2025-09-23 Nicole Bäuerle , Sebastian Höfer

Cooperation is fundamental in Multi-Agent Systems (MAS) and Multi-Agent Reinforcement Learning (MARL), often requiring agents to balance individual gains with collective rewards. In this regard, this paper aims to investigate strategies to…

Computer Science and Game Theory · Computer Science 2024-05-06 Vaigarai Sathi , Sabahat Shaik , Jaswanth Nidamanuri

We study the consumption behaviour of an asymmetric network of heterogeneous agents in the framework of discrete choice models with stochastic decision rules. We assume that the interactions among agents are uniquely specified by their…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giulia Iori , Vassilis Koulovassilopoulos

Wage dispersion and job-to-job mobility are central features of modern labour markets, yet canonical equilibrium search models with exogenous job-offer ladders struggle to jointly account for these facts and the magnitude of frictional wage…

Theoretical Economics · Economics 2025-12-09 I. Sebastian Buhai

Involution, a phenomenon of excessive competition with diminishing returns, has become a pressing socio-economic concern in contemporary China, prompting both academic inquiry and policy interventions. This paper proposes an evolutionary…

Physics and Society · Physics 2026-03-16 Bo Li , Qiwen Ge , Yong Shi

Resource competition is a fundamental interaction in natural communities.However little is known about competition in spatial environments where organisms are able to regulate resource distributions. Here, we analyze the competition of two…

Populations and Evolution · Quantitative Biology 2011-02-24 Alexei B. Ryabov , Bernd Blasius

In a co-evolutionary context, the survive probability of individual elements of a system depends on their relation with their neighbors. The natural selection process depends on the whole population, which is determined by local events…

Biological Physics · Physics 2009-11-13 Juan G. Diaz Ochoa

Advances in artificial intelligence often stem from the development of new environments that abstract real-world situations into a form where research can be done conveniently. This paper contributes such an environment based on ideas…

Artificial Intelligence · Computer Science 2022-05-16 Michael Bradley Johanson , Edward Hughes , Finbarr Timbers , Joel Z. Leibo

In multiagent systems autonomous agents interact with each other to achieve individual and collective goals. Typical interactions concern negotiation and agreement on resource exchanges. Modeling and formalizing these agreements pose…

Logic in Computer Science · Computer Science 2024-08-20 Lorenzo Ceragioli , Pierpaolo Degano , Letterio Galletta , Luca Viganò

What is the emergent long-run equilibrium of a society where many interacting agents bet on the optimal energy to put in place in order to climb on the Bandwagon? In this paper we study the collective behavior of a large population of…

Optimization and Control · Mathematics 2018-04-23 Paolo Dai Pra , Elena Sartori , Marco Tolotti

Resource allocation takes place in various kinds of real-world complex systems, such as the traffic systems, social services institutions or organizations, or even the ecosystems. The fundamental principle underlying complex…

Physics and Society · Physics 2013-08-06 Ji-Qiang Zhang , Zi-Gang Huang , Zi-Gang Huang , Liang Huang , Tie-Qiao Huang , Ying-Cheng Lai

We introduce the class of modified Schelling games in which there are different types of agents who occupy the nodes of a location graph; agents of the same type are friends, and agents of different types are enemies. Every agent is…

Computer Science and Game Theory · Computer Science 2020-05-26 Panagiotis Kanellopoulos , Maria Kyropoulou , Alexandros A. Voudouris

We study the design of decision-making mechanism for resource allocations over a multi-agent system in a dynamic environment. Agents' privately observed preference over resources evolves over time and the population is dynamic due to the…

Systems and Control · Electrical Eng. & Systems 2020-05-20 Tao Zhang , Quanyan Zhu

We initiate the study of game dynamics in the population protocol model: $n$ agents each maintain a current local strategy and interact in pairs uniformly at random. Upon each interaction, the agents play a two-person game and receive a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-21 Dan Alistarh , Krishnendu Chatterjee , Mehrdad Karrabi , John Lazarsfeld

Large distributed multiagent systems are characterized by vast numbers of agents trying to gain access to limited resources in an unpredictable environment. Agents in these system continuously switch strategies in order to opportunistically…

adap-org · Physics 2008-02-03 Michael Youssefmir , Bernardo Huberman

We present a stylized model of the allocation of resources on a network. By considering as a concrete example the network of sectors of the airspace, where each node is a sector characterized by a maximal number of simultaneously present…

Physics and Society · Physics 2015-06-11 Gérald Gurtner , Luca Valori , Fabrizio Lillo

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

Physics and Society · Physics 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

In this paper, we consider a first-order mean field game model motivated by crowd motion in which agents evolve in a (not necessarily compact) metric space and wish to reach a given target set. Each agent aims to minimize the sum of their…

Optimization and Control · Mathematics 2024-12-20 Guilherme Mazanti

This paper develops a game-theoretic model and an agent-based model to study group formation driven by resource pooling, spatial cohesion, and heterogeneity. We focus on cross-sector partnerships (CSPs) involving public, private, and…

Computer Science and Game Theory · Computer Science 2025-09-24 Chenlan Wang , Jimin Han , Diana Jue-Rajasingh