113 citations · 176 across the 22 of their papers we have counts for
26 papers
Effect of car-centric social norms on traffic congestion in a compartmental model of transit mode utilization
Alia Valentine, Anastasia Bizyaeva
Vehicle traffic congestion is a persistent feature of urban transportation systems around the world.Importantly, congestion is in part a consequence of human decision-making: car t…
Tunable Spatial Task Allocation with Application to Maritime Swarms
Vishnudatta Thota, Tyler Paine, Anastasia Bizyaeva
In this chapter, we explore how a team of autonomous agents can flexibly reconfigure the distribution of its members across many spatially embedded tasks using a task allocation st…
Optimality of delayed reward attainment under uncertainty
Chuwei Wang, Alexander Vladimirsky, Anastasia Bizyaeva
Decision making under uncertainty requires balancing the value of additional information against the cost of delaying the decision until that information becomes available. This ch…
Explicit Second-Order Bounds on the Domain of Validity for Lyapunov-Schmidt Reduction
Pranav Gupta, Ravi Banavar, Anastasia Bizyaeva
Lyapunov-Schmidt reduction is a widely used dimensionality reduction technique for bifurcation analysis in high-dimensional systems. While classical formulations guarantee the loca…
Behavior of Nonlinear Opinion Dynamics over Large Networks
Yu Xing, Anastasia Bizyaeva, Karl H. Johansson
Opinion dynamics have been studied for decades across disciplines, with much of the theoretical literature focusing on behaviors such as consensus, polarization, and clustering. Al…
Constraint-Induced Redistribution of Social Influence in Nonlinear Opinion Dynamics
Vishnudatta Thota, Anastasia Bizyaeva
We study how intrinsic hard constraints on the decision dynamics of social agents shape collective decisions on multiple alternatives in a heterogeneous group. Such constraints may…
Census-Based Population Autonomy For Distributed Robotic Teaming
Tyler M. Paine, Anastasia Bizyaeva, Michael R. Benjamin
Collaborating teams of robots show promise due to their ability to complete missions more efficiently and with improved robustness, attributes that are particularly useful for syst…
Bounds of Validity for Bifurcations of Equilibria in a Class of Networked Dynamical Systems
Pranav Gupta, Ravi Banavar, Anastasia Bizyaeva
Local bifurcation analysis plays a central role in understanding qualitative transitions in networked nonlinear dynamical systems, including dynamic neural network and opinion dyna…
Bifurcation analysis of an opinion dynamics model coupled with an environmental dynamics
Anthony Couthures, Anastasia Bizyaeva, Vineeth S. Varma +2
We consider an opinion dynamics model coupled with an environmental dynamics. Based on a forward invariance argument, we can simplify the analysis of the asymptotic behavior to the…
Mixed-feedback oscillations in the foraging dynamics of arboreal turtle ants
Alia Valentine, Deborah M. Gordon, Anastasia Bizyaeva
We propose and analyze a model for the dynamics of the flow into and out of a nest for the arboreal turtle ant during foraging to investigate a po…
Opinion-driven risk perception and reaction in SIS epidemics
Marcela Ordorica Arango, Anastasia Bizyaeva, Simon A. Levin +1
We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection.…
Fast-and-flexible decision-making with modulatory interactions
Rodrigo Moreno-Morton, Anastasia Bizyaeva, Naomi Ehrich Leonard +1
Multi-agent systems in biology, society, and engineering are capable of making decisions through the dynamic interaction of their elements. Nonlinearity of the interactions is key…
Learning Communities from Equilibria of Nonlinear Opinion Dynamics
Yu Xing, Anastasia Bizyaeva, Karl H. Johansson
This paper studies community detection for a nonlinear opinion dynamics model from its equilibria. It is assumed that the underlying network is generated from a stochastic block mo…
Adaptive bias for dissensus in nonlinear opinion dynamics with application to evolutionary division of labor games
Tyler M. Paine, Anastasia Bizyaeva, Michael R. Benjamin
This paper addresses the problem of adaptively controlling the bias parameter in nonlinear opinion dynamics (NOD) to allocate agents into groups of arbitrary sizes for the purpose…
Spatially-invariant opinion dynamics on the circle
Giovanna Amorim, Anastasia Bizyaeva, Alessio Franci +1
We propose and analyze a nonlinear opinion dynamics model for an agent making decisions about a continuous distribution of options in the presence of input. Inspired by perceptual…
Estimates on the domain of validity for Lyapunov-Schmidt reduction
Pranav Gupta, Anastasia Bizyaeva, Ravi Banavar
Lyapunov-Schmidt reduction is a dimensionality reduction technique in nonlinear systems analysis that is commonly utilised in the study of bifurcation problems in high-dimensional…
Active risk aversion in SIS epidemics on networks
Anastasia Bizyaeva, Marcela Ordorica Arango, Yunxiu Zhou +2
We present and analyze an actively controlled Susceptible-Infected-Susceptible (actSIS) model of interconnected populations to study how risk aversion strategies, such as social di…
Multi-topic belief formation through bifurcations over signed social networks
Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard
We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structur…
Sustained oscillations in multi-topic belief dynamics over signed networks
Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard
We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary cond…
Breaking indecision in multi-agent, multi-option dynamics
Alessio Franci, Martin Golubitsky, Ian Stewart +2
How does a group of agents break indecision when deciding about options with qualities that are hard to distinguish? Biological and artificial multi-agent systems, from honeybees a…
Switching transformations for decentralized control of opinion patterns in signed networks: application to dynamic task allocation
Anastasia Bizyaeva, Giovanna Amorim, Maria Santos +2
We propose a new decentralized design method to control opinion patterns on signed networks of agents making decisions about two options and to switch the network from any opinion…
Tuning Cooperative Behavior in Games with Nonlinear Opinion Dynamics
Shinkyu Park, Anastasia Bizyaeva, Mari Kawakatsu +2
We examine the tuning of cooperative behavior in repeated multi-agent games using an analytically tractable, continuous-time, nonlinear model of opinion dynamics. Each modeled agen…
Control of Agreement and Disagreement Cascades with Distributed Inputs
Anastasia Bizyaeva, Timothy Sorochkin, Alessio Franci +1
For a group of autonomous communicating agents, the ability to distinguish a meaningful input from disturbance, and come to collective agreement or disagreement in response to that…
Analysis and control of agreement and disagreement opinion cascades
Alessio Franci, Anastasia Bizyaeva, Shinkyu Park +1
We introduce and analyze a continuous time and state-space model of opinion cascades on networks of large numbers of agents that form opinions about two or more options. By leverag…