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We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

We consider integro-differential models describing the evolution of a population structured by a quantitative trait. Individuals interact competitively, creating a strong selection pressure on the population. On the other hand, mutations…

Analysis of PDEs · Mathematics 2012-03-20 Pierre-Emmanuel Jabin

In many statistical problems, a more coarse-grained model may be suitable for population-level behaviour, whereas a more detailed model is appropriate for accurate modelling of individual behaviour. This raises the question of how to…

Machine Learning · Statistics 2015-11-02 Mingjun Zhong , Nigel Goddard , Charles Sutton

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams

Distribution shifts have long been regarded as troublesome external forces that a decision-maker should either counteract or conform to. An intriguing feedback phenomenon termed decision dependence arises when the deployed decision affects…

Optimization and Control · Mathematics 2025-03-11 Zhiyu He , Saverio Bolognani , Florian Dörfler , Michael Muehlebach

For population systems modeled by age-structured hyperbolic partial differential equations (PDEs), we redesign the existing feedback laws, designed under the assumption that the dilution input is directly actuated, to the more realistic…

Optimization and Control · Mathematics 2023-06-27 Paul-Erik Haacker , Iasson Karafyllis , Miroslav Krstić , Mamadou Diagne

Modeling how a robot interacts with the environment around it is an important prerequisite for designing control and planning algorithms. In fact, the performance of controllers and planners is highly dependent on the quality of the model.…

Machine Learning · Computer Science 2020-03-03 Clark Zhang , Arbaaz Khan , Santiago Paternain , Alejandro Ribeiro

Matching mechanisms play a central role in operations management across diverse fields including education, healthcare, and online platforms. However, experimentally comparing a new matching algorithm against a status quo presents some…

Methodology · Statistics 2026-01-30 Chonghuan Wang

In an adaptive population which models financial markets and distributed control, we consider how the dynamics depends on the diversity of the agents' initial preferences of strategies. When the diversity decreases, more agents tend to…

Physics and Society · Physics 2008-12-02 H. M. Yang , Y. S. Ting , K. Y. Michael Wong

Machine learning systems are often used in settings where individuals adapt their features to obtain a desired outcome. In such settings, strategic behavior leads to a sharp loss in model performance in deployment. In this work, we aim to…

Machine Learning · Computer Science 2021-06-11 Yatong Chen , Jialu Wang , Yang Liu

We examine kinetic symmetry breaking phenomena in an evolutionary political game in which voters, inhabiting a multidimensional ideological space, cast ballots via selection mechanisms subject to the competing forces of conformity and…

Statistical Mechanics · Physics 2007-05-23 Arne Soulier , Tim Halpin-Healy

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the dynamics of opinion formation and change within a population. The IPP model integrates mechanisms of persuasion and repulsion, where individuals…

Physics and Society · Physics 2024-08-02 Fei Cao , Stephanie Reed

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

We study effects of strategy-dependent time delays on equilibria of evolving populations. It is well known that time delays may cause oscillations in dynamical systems. Here we report a novel behavior. We show that microscopic models of…

Populations and Evolution · Quantitative Biology 2021-04-13 Jacek Miȩkisz , Marek Bodnar

Identifying and quantifying factors influencing human decision making remains an outstanding challenge, impacting the performance and predictability of social and technological systems. In many cases, system failures are traced to human…

In the optional prisoner's dilemma (OPD), players can choose to cooperate and defect as usual, but can also abstain as a third possible strategy. This strategy models the players' participation in the game and is a relevant aspect in many…

Computer Science and Game Theory · Computer Science 2021-06-15 Leonardo Stella , Dario Bauso

Properly designing a system to exhibit favorable natural dynamics can greatly simplify designing or learning the control policy. However, it is still unclear what constitutes favorable natural dynamics and how to quantify its effect. Most…

Robotics · Computer Science 2019-08-13 Steve Heim , Alexander Spröwitz

Our research is concerned with studying behavioural changes within a dynamic system, i.e. health care, and their effects on the decision-making process. Evolutionary Game theory is applied to investigate the most probable strategy(ies)…

Computer Science and Game Theory · Computer Science 2019-09-10 Zainab Alalawi , Yifeng Zeng , The Anh Han , Aiman Elragig

In this work, our goal is to train agents that can coordinate with seen, unseen as well as human partners in a multi-agent communication environment involving natural language. Previous work using a single set of agents has shown great…

Machine Learning · Computer Science 2022-10-25 Abhinav Gupta , Marc Lanctot , Angeliki Lazaridou