[01037] From interacting particles to social dynamics: modelling and analysis of agent-based systems
Session Time & Room : 1E (Aug.21, 17:40-19:20) @G802
Type : Proposal of Minisymposium
Abstract : Modelling of social dynamics, including social media or epidemics, has a long tradition.
Recently, stochastic modelling has become more relevant, touching upon such diverse aspects as
uncertainty quantification or robust control. Despite recent advances,
there is still a gap between the theoretical analysis of models and the model calibration based on empirial
data. In this minisymposium, we aim at bringing together researchers from dynamical systems, scientific computing and empirical research to discuss connections between agent-based models, particle systems and social simulation, with particular focus on the numerical analysis of agent-based models, reduced-order models and the role of random forcing.
[04502] Feedback loops in opinion dynamics of agent-based and mean-field models
Format : Talk at Waseda University
Author(s) :
Natasa Conrad (Zuse Institute Berlin)
Ana Djurdjevac (Freie Universität Berlin)
Jonas Koeppl (Weierstraß-Institut Berlin)
Abstract : We present a new mathematical model for co-evolving opinion and social dynamics within a group of mobile,
interacting agents. Agents’ movements are governed by their social position and opinions of others, and opinion
dynamics are affected by their proximity and opinion similarity. We investigate the behaviour of this ABM in different
regimes, study the empirical distribution, and, in the limit of infinite number of agents, we derive a corresponding
reduced model given by a PDE.
[03486] Bounded Confidence Models of Opinion Dynamics
Format : Talk at Waseda University
Author(s) :
Benjamin Goddard (University of Edinburgh)
Grigorios Pavliotis (Imperial College London)
Abstract : Bounded confidence models postulate that people only take into account the opinions of others if they are already sufficiently close in 'opinion space' (i.e., they somewhat agree). I will introduce agent-based, ODE, SDE, and PDE models, before focusing on the (nonlocal, nonlinear) PDE case. The main results concern the complex dynamics that arise; the presence of 'phase transitions' under varying parameters; the importance of boundary conditions; and the introduction of 'radicals' with unchanging opinions.
[04255] Open systems of interacting particles: a probabilistic and multiscale framework
Format : Talk at Waseda University
Author(s) :
Mauricio del Razo (Freie Universität Berlin)
Abstract : Open systems are ubiquitous in nature and can be found in a variety of applications, such as chemical reactions, biological processes and even social dynamics. In this talk, we will introduce a comprehensive probabilistic framework for open systems of interacting particles. We will further discuss how our framework can be used to systematically construct consistent multiscale models and simulation schemes by examining how the framework scales up in different limiting regimes, such as system size and large population.
[04762] Branching and coalescing particles in a singular environemnt
Format : Talk at Waseda University
Author(s) :
Tommaso-Cornelis Rosati (University of Warwick)
Abstract : In this talk we analyse how the presence of a random, highly irregular, environment can influence the evolution of particle systems. We study the fluctuations of branching particles in a white-in-space environment, leading to a rough super-process. Further, we describe the scaling limit of a system of Brownian motions driven by a singular drift by means of the so-called Brownian castle. Joint works with N. Perkowski and (in progress) M. Hairer and G. Cannizzaro.
