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Complex systems are often characterized by large-scale hierarchical organizations. Whether the prominent elements, at the top of the hierarchy, share and control resources or avoid one another lies at the heart of a system's global…

Physics and Society · Physics 2009-11-13 Tore Opsahl , Vittoria Colizza , Pietro Panzarasa , Jose J. Ramasco

We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential equations of kinetic type, we focus our…

Physics and Society · Physics 2016-07-21 Giacomo Albi , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

The concept of power can be explored at several scales: from physical action and process effectuation, all the way to complex social dynamics. A spectrum-wide analysis of power requires attention to the fundamental principles that constrain…

Physics and Society · Physics 2025-02-06 Mahault Albarracin , Sonia de Jager , David Hyland , Sarah Grace Manski

We present a model of interacting multiple choices of opinions. At each step of the process, a listener is persuaded by his/her neighbour, the lobbyist, to modify his/her opinion on two different choices of event. Whether or not the…

Physics and Society · Physics 2016-01-12 C. -I. Chou , C. -L. Ho

We introduce a new setting where a population of agents, each modelled by a finite-state system, are controlled uniformly: the controller applies the same action to every agent. The framework is largely inspired by the control of a…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Nathalie Bertrand , Miheer Dewaskar , Blaise Genest , Hugo Gimbert , Adwait Amit Godbole

More and more processes governing our lives use in some part an automatic decision step, where -- based on a feature vector derived from an applicant -- an algorithm has the decision power over the final outcome. Here we present a simple…

Machine Learning · Statistics 2017-01-16 Matthias Gallé

In the Seat Arrangement problem the goal is to allocate agents to vertices in a graph such that the resulting arrangement is optimal or fair in some way. Examples include an arrangement that maximises utility or one where no agent envies…

Data Structures and Algorithms · Computer Science 2026-01-27 José Rodríguez

In this paper we study the controllability of networked systems with static network topologies using tools from algebraic graph theory. Each agent in the network acts in a decentralized fashion by updating its state in accordance with a…

Systems and Control · Computer Science 2013-02-12 Ahmet Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

Several rules for social choice are examined from a unifying point of view that looks at them as procedures for revising a system of degrees of belief in accordance with certain specified logical constraints. Belief is here a social…

Artificial Intelligence · Computer Science 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

News outlets, surveyors, and other organizations often conduct polls on social networks to gain insights into public opinion. Such a poll is typically started by someone on a social network who sends it to her friends. If a person…

Multiagent Systems · Computer Science 2025-02-05 Koustav De , Palash Dey , Swagato Sanyal

In order to truly understand how social media might shape online discourses or contribute to societal polarization, we need refined models of platform choice, that is: models that help us understand why users prefer one social media…

Adaptation and Self-Organizing Systems · Physics 2024-11-08 Sven Banisch , Dennis Jacob , Tom Willaert , Eckehard Olbrich

We present numerical simulations of a model of social influence, where the opinion of each agent is represented by a binary vector. Agents adjust their opinions as a result of random encounters, whenever the difference between opinions is…

Statistical Mechanics · Physics 2009-11-10 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

Forecasting has always been at the forefront of decision making and planning. The uncertainty that surrounds the future is both exciting and challenging, with individuals and organisations seeking to minimise risks and maximise utilities.…

Applications · Statistics 2022-02-09 Fotios Petropoulos , Daniele Apiletti , Vassilios Assimakopoulos , Mohamed Zied Babai , Devon K. Barrow , Souhaib Ben Taieb , Christoph Bergmeir , Ricardo J. Bessa , Jakub Bijak , John E. Boylan , Jethro Browell , Claudio Carnevale , Jennifer L. Castle , Pasquale Cirillo , Michael P. Clements , Clara Cordeiro , Fernando Luiz Cyrino Oliveira , Shari De Baets , Alexander Dokumentov , Joanne Ellison , Piotr Fiszeder , Philip Hans Franses , David T. Frazier , Michael Gilliland , M. Sinan Gönül , Paul Goodwin , Luigi Grossi , Yael Grushka-Cockayne , Mariangela Guidolin , Massimo Guidolin , Ulrich Gunter , Xiaojia Guo , Renato Guseo , Nigel Harvey , David F. Hendry , Ross Hollyman , Tim Januschowski , Jooyoung Jeon , Victor Richmond R. Jose , Yanfei Kang , Anne B. Koehler , Stephan Kolassa , Nikolaos Kourentzes , Sonia Leva , Feng Li , Konstantia Litsiou , Spyros Makridakis , Gael M. Martin , Andrew B. Martinez , Sheik Meeran , Theodore Modis , Konstantinos Nikolopoulos , Dilek Önkal , Alessia Paccagnini , Anastasios Panagiotelis , Ioannis Panapakidis , Jose M. Pavía , Manuela Pedio , Diego J. Pedregal , Pierre Pinson , Patrícia Ramos , David E. Rapach , J. James Reade , Bahman Rostami-Tabar , Michał Rubaszek , Georgios Sermpinis , Han Lin Shang , Evangelos Spiliotis , Aris A. Syntetos , Priyanga Dilini Talagala , Thiyanga S. Talagala , Len Tashman , Dimitrios Thomakos , Thordis Thorarinsdottir , Ezio Todini , Juan Ramón Trapero Arenas , Xiaoqian Wang , Robert L. Winkler , Alisa Yusupova , Florian Ziel

We prove a general existence result in stochastic optimal control in discrete time where controls take values in conditional metric spaces, and depend on the current state and the information of past decisions through the evolution of a…

Optimization and Control · Mathematics 2018-12-19 Asgar Jamneshan , Michael Kupper , José Miguel Zapata

A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some…

Econometrics · Economics 2025-05-29 Anders Bredahl Kock , David Preinerstorfer

Data-based decisionmaking must account for the manipulation of data by agents who are aware of how decisions are being made and want to affect their allocations. We study a framework in which, due to such manipulation, data becomes less…

Theoretical Economics · Economics 2022-12-29 Alex Frankel , Navin Kartik

This paper is concerned with the problem of controlling a system of constrained dynamic subsystems in a way that balances the performance degradation of decentralized control with the practical cost of centralized control. We propose a…

Systems and Control · Electrical Eng. & Systems 2020-01-29 Pablo R Baldivieso-Monasterios , Paul A Trodden

I consider decision-making constrained by considerations of morality, rationality, or other virtues. The decision maker (DM) has a true preference over outcomes, but feels compelled to choose among outcomes that are top-ranked by some…

Theoretical Economics · Economics 2020-03-17 Sarah Ridout

We introduce the confident voter model, in which each voter can be in one of two opinions and can additionally have two levels of commitment to an opinion --- confident and unsure. Upon interacting with an agent of a different opinion, a…

Physics and Society · Physics 2015-03-19 D. Volovik , S. Redner

Individuals use models to guide decisions, but many models are wrong. This paper studies which misspecified models are likely to persist when individuals also entertain alternative models. Consider an agent who uses her model to learn the…

Theoretical Economics · Economics 2023-08-22 Cuimin Ba