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This paper is concerned with general spatially explicit versions of three stochastic models for the dynamics of money that have been introduced and studied numerically by statistical physicists: the uniform reshuffling model, the immediate…

Probability · Mathematics 2018-04-18 Nicolas Lanchier , Stephanie Reed

We study the problem in which a central planner sequentially allocates a single resource to multiple strategic agents using their utility reports at each round, but without using any monetary transfers. We consider general agent utility…

Computer Science and Game Theory · Computer Science 2024-08-20 Moise Blanchard , Patrick Jaillet

Motivated by real-world applications such as the allocation of public housing, we examine the problem of assigning a group of agents to vertices (e.g., spatial locations) of a network so that the diversity level is maximized. Specifically,…

Data Structures and Algorithms · Computer Science 2024-04-02 Zirou Qiu , Andrew Yuan , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

Computer Science and Game Theory · Computer Science 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

In this paper we consider the problem of transmission power allocation for remote estimation of a dynamical system in the case where the estimator is able to simultaneously receive packets from multiple interfering sensors, as it is…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Matthias Pezzutto , Luca Schenato , Subhrakanti Dey

We introduce a variant of the deterministic rendezvous problem for a pair of heterogeneous agents operating in an undirected graph, which differ in the time they require to traverse particular edges of the graph. Each agent knows the…

Data Structures and Algorithms · Computer Science 2014-06-10 Dariusz Dereniowski , Ralf Klasing , Adrian Kosowski , Łukasz Kuszner

In the impartial selection problem, a subset of agents up to a fixed size $k$ among a group of $n$ is to be chosen based on votes cast by the agents themselves. A selection mechanism is impartial if no agent can influence its own chance of…

Computer Science and Game Theory · Computer Science 2024-08-06 Javier Cembrano , Svenja M. Griesbach , Maximilian J. Stahlberg

Research concerning organization and coordination within multi-agent systems continues to draw from a variety of architectures and methodologies. The work presented in this paper combines techniques from game theory and multi-agent systems…

Artificial Intelligence · Computer Science 2007-05-23 Derek Messie , Jae C. Oh

This work uses game theory as a mathematical framework to address interaction modeling in multi-agent motion forecasting and control. Despite its interpretability, applying game theory to real-world robotics, like automated driving, faces…

Machine Learning · Computer Science 2023-12-05 Christopher Diehl , Tobias Klosek , Martin Krüger , Nils Murzyn , Timo Osterburg , Torsten Bertram

In the standard Mechanism Design framework (Hurwicz-Reiter), there is a central authority that gathers agents' messages and subsequently determines the allocation and tax for each agent. We consider a scenario where, due to communication…

Computer Science and Game Theory · Computer Science 2019-01-09 Nasimeh Heydaribeni , Achilleas Anastasopoulos

How does one allocate a collection of resources to a set of strategic agents in a fair and efficient manner without using money? For in many scenarios it is not feasible to use money to compensate agents for otherwise unsatisfactory…

Computer Science and Game Theory · Computer Science 2012-07-10 Richard Cole , Vasilis Gkatzelis , Gagan Goel

This paper presents a spatio-temporal inverse optimal control framework for understanding interactions in multi-agent systems (MAS). We employ a graph representation approach and model the dynamics of interactions between agents as…

Systems and Control · Electrical Eng. & Systems 2024-11-04 Sara Honarvar , Yancy Diaz-Mercado

Consider discrete-time linear distributed averaging dynamics, whereby agents in a network start with uncorrelated and unbiased noisy measurements of a common underlying parameter (state of the world) and iteratively update their estimates…

Optimization and Control · Mathematics 2023-03-21 Giacomo Como , Fabio Fagnani , Anton V. Proskurnikov

Motivated by the increasing appeal of robots in information-gathering missions, we study multi-agent path planning problems in which the agents must remain interconnected. We model an area by a topological graph specifying the movement and…

Artificial Intelligence · Computer Science 2019-03-12 Tristan Charrier , Arthur Queffelec , Ocan Sankur , François Schwarzentruber

In this paper, we consider the energy-bandwidth allocation for a network with multiple broadcast channels, where the transmitters access the network orthogonally on the assigned frequency band and each transmitter communicates with multiple…

Information Theory · Computer Science 2014-10-13 Zhe Wang , Vaneet Aggarwal , Xiaodong Wang

In ad hoc wireless networking, units are connected to each other rather than to a central, fixed, infrastructure. Constructing and maintaining such networks create several trade-off problems between robustness, communication speed, power…

Physics and Society · Physics 2016-06-08 Eun Lee , Petter Holme

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 present the design of an autoregressive active inference agent in the form of message passing on a factor graph. Expected free energy is derived and distributed across a planning graph. The proposed agent is validated on a robot…

Artificial Intelligence · Computer Science 2026-01-21 Wouter M. Kouw , Tim N. Nisslbeck , Wouter L. N. Nuijten

We study a general model on reusable resource allocation under model uncertainty. A heterogeneous population of customers arrive at the decision maker's (DM's) platform sequentially. Upon observing a customer's type, the DM selects an…

Optimization and Control · Mathematics 2022-12-07 Xilin Zhang , Wang Chi Cheung

We introduce a simple benchmark model of dynamic matching in networked markets, where agents arrive and depart stochastically and the network of acceptable transactions among agents forms a random graph. We analyze our model from three…

Computer Science and Game Theory · Computer Science 2014-02-18 Mohammad Akbarpour , Shengwu Li , Shayan Oveis Gharan