[HTML][HTML] Passivity-based analysis and design for population dynamics with conformity biases

S Yamashita, K Irifune, T Hatanaka, Y Wasa, K Hirata… - Automatica, 2023 - Elsevier
This paper focuses on conformity bias, a kind of bounded rationality of humans, and
addresses the two fundamental questions: How does the bias affect decision making by …

Equilibration analysis and control of coordinating decision-making populations

N Sakhaei, Z Maleki, P Ramazi - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Whether a population of decision-makers reach a state of satisfactory decisions is a
fundamental problem in studying collective behaviors. In the framework of evolutionary …

From population games to payoff dynamics models: A passivity-based approac

S Park, NC Martins, JS Shamma - 2019 IEEE 58th Conference …, 2019 - ieeexplore.ieee.org
This tutorial article describes a dynamical systems framework rooted in evolutionary game
principles to characterize non-cooperative strategic interactions among large populations of …

Passivity-based analysis and nudging design for dynamic social model with bounded rationality

S Yamashita, T Hatanaka, Y Wasa, N Hayashi… - IFAC-PapersOnLine, 2020 - Elsevier
In this paper, we address a design problem of nudging mechanism for dynamical decision
makers with bounded rationality. We first present a mathematical model for dynamic …

Passivity analysis of higher order evolutionary dynamics and population games

MA Mabrok, JS Shamma - 2016 IEEE 55th Conference on …, 2016 - ieeexplore.ieee.org
Evolutionary dynamics describe how the population composition changes in response to the
fitness levels, resulting in a closed-loop feedback system. Recent work established a …

Mathematical modelling of decision cycles in a competitive environment with neutral parties

T McLennan-Smith, A Kalloniatis, S Watt… - arXiv preprint arXiv …, 2022 - arxiv.org
Decision making is a human process that is a fundamental part of competition. As a
realisation of decision making, Command and Control, or C2, has been studied in the …

Passivity and evolutionary game dynamics

S Park, JS Shamma, NC Martins - 2018 IEEE Conference on …, 2018 - ieeexplore.ieee.org
This paper investigates an energy conservation and dissipation-passivity-aspect of dynamic
models in evolutionary game theory. We define a notion of passivity using the state-space …

Shaping large population agent behaviors through entropy-regularized mean-field games

Y Guan, M Zhou, A Pakniyat… - 2022 American Control …, 2022 - ieeexplore.ieee.org
Mean-field games (MFG) were introduced to efficiently analyze approximate Nash equilibria
in large population settings. In this work, we consider entropy-regularized mean-field games …

Asynchronous decision-making dynamics under imitation update rule in heterogeneous populations

Y Fu, P Ramazi - 2019 IEEE 58th Conference on Decision and …, 2019 - ieeexplore.ieee.org
Decision-making individuals are often likely to imitate their highest-earning fellows rather
than optimizing their own utilities, due to bounded rationality and incomplete information on …

Heterogeneous mixed populations of best-responders and imitators: Equilibrium convergence and stability

H Le, P Ramazi - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
In anticoordination social contexts such as stock selection, resource allocation, and crowd
dispersion, an individual earns more if the opponents adopt her opposite strategy. Based on …