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We study information design in multi-agent systems (MAS) with binary actions and strategic complementarities, where an external designer influences behavior only through signals. Agents play the smallest-equilibrium of the induced Bayesian…

Computer Science and Game Theory · Computer Science 2026-02-27 Farzaneh Farhadi , Maria Chli

Inferring the input parameters of simulators from observations is a crucial challenge with applications from epidemiology to molecular dynamics. Here we show a simple approach in the regime of sparse data and approximately correct models,…

Methodology · Statistics 2022-04-06 Rainier Barrett , Mehrad Ansari , Gourab Ghoshal , Andrew D White

We introduce an epistemic information measure between two data streams, that we term $influence$. Closely related to transfer entropy, the measure must be estimated by epistemic agents with finite memory resources via sampling accessible…

(Jaynes') Method of (Shannon-Kullback's) Relative Entropy Maximization (REM or MaxEnt) can be - at least in the discrete case - according to the Maximum Probability Theorem (MPT) viewed as an asymptotic instance of the Maximum Probability…

Data Analysis, Statistics and Probability · Physics 2012-08-27 M. Grendar, , M. Grendar

Reinforcement learning algorithms can train agents that solve problems in complex, interesting environments. Normally, the complexity of the trained agent is closely related to the complexity of the environment. This suggests that a highly…

Artificial Intelligence · Computer Science 2018-03-16 Trapit Bansal , Jakub Pachocki , Szymon Sidor , Ilya Sutskever , Igor Mordatch

Recommender Systems have proliferated as general-purpose approaches to model a wide variety of consumer interaction data. Specific instances make use of signals ranging from user feedback, item relationships, geographic locality, social…

Information Retrieval · Computer Science 2018-08-31 Wang-Cheng Kang , Mengting Wan , Julian McAuley

Common sense suggests that when individuals explain why they believe something, we can arrive at more accurate conclusions than when they simply state what they believe. Yet, there is no known mechanism that provides incentives to elicit…

Computer Science and Game Theory · Computer Science 2025-02-20 Siddarth Srinivasan , Ezra Karger , Michiel Bakker , Yiling Chen

MaxEnt inference algorithm and information theory are relevant for the time evolution of macroscopic systems considered as problem of incomplete information. Two different MaxEnt approaches are introduced in this work, both applied to…

Statistical Mechanics · Physics 2012-02-21 Domagoj Kuic , Pasko Zupanovic , Davor Juretic

We are interested in the problem of multiagent systems development for risk detecting and emergency response in an uncertain and partially perceived environment. The evaluation of the current situation passes by three stages inside the…

Artificial Intelligence · Computer Science 2008-12-18 Fahem Kebair , Frédéric Serin , Cyrille Bertelle

Efficient approximation lies at the heart of large-scale machine learning problems. In this paper, we propose a novel, robust maximum entropy algorithm, which is capable of dealing with hundreds of moments and allows for computationally…

Machine Learning · Statistics 2019-06-05 Diego Granziol , Binxin Ru , Stefan Zohren , Xiaowen Doing , Michael Osborne , Stephen Roberts

This paper presents an analytical treatment of economic systems with an arbitrary number of agents that keeps track of the systems' interactions and agents' complexity. This formalism does not seek to aggregate agents. It rather replaces…

General Economics · Economics 2018-10-18 Aïleen Lotz , Pierre Gosselin , Marc Wambst

During the last decades, quite a number of interacting particle systems have been introduced and studied in the border area of mathematics and statistical physics. Some of these can be seen as simplistic models for opinion formation…

Probability · Mathematics 2016-01-14 Timo Hirscher

Multi-agent systems have demonstrated exceptional performance in downstream tasks beyond diverse single agent baselines. A growing body of work has explored ways to improve their reasoning and collaboration, from vote, debate, to complex…

Artificial Intelligence · Computer Science 2026-02-13 Yu Yao , Jiayi Dong , Yang Yang , Ju Li , Yilun Du

Agent Based Modelling (ABM) is a computational framework for simulating the behaviours and interactions of autonomous agents. As Agent Based Models are usually representative of complex systems, obtaining a likelihood function of the model…

Artificial Intelligence · Computer Science 2021-07-09 D. Townsend

Understanding the evolution of human society, as a complex adaptive system, is a task that has been looked upon from various angles. In this paper, we simulate an agent-based model with a high enough population tractably. To do this, we…

Multiagent Systems · Computer Science 2017-07-07 Amartya Sanyal , Sanjana Garg , Asim Unmesh

The entropy maximum approach (Maxent) was developed as a minimization of the subjective uncertainty measured by the Boltzmann--Gibbs--Shannon entropy. Many new entropies have been invented in the second half of the 20th century. Now there…

Data Analysis, Statistics and Probability · Physics 2013-11-07 A. N. Gorban

We show that Skilling's method of induction leads to a unique general theory of inductive inference, the method of Maximum relative Entropy (ME). The main tool for updating probabilities is the logarithmic relative entropy; other entropies…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Ariel Caticha , Adom Giffin

The method of maximum entropy (ME) is extended to address the following problem: Once one accepts that the ME distribution is to be preferred over all others, the question is to what extent are distributions with lower entropy supposed to…

Mathematical Physics · Physics 2009-10-31 Ariel Caticha

Conventional distributed approaches to coverage control may suffer from lack of convergence and poor performance, due to the fact that agents have limited information, especially in non-convex discrete environments. To address this issue,…

Computer Science and Game Theory · Computer Science 2024-04-09 Tatsuya Iwase , Aurélie Beynier , Nicolas Bredeche , Nicolas Maudet , Jason R. Marden

We consider how an agent should update her uncertainty when it is represented by a set $\P$ of probability distributions and the agent observes that a random variable $X$ takes on value $x$, given that the agent makes decisions using the…

Artificial Intelligence · Computer Science 2007-11-27 Peter D. Grunwald , Joseph Y. Halpern
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