Boltzmann Games in Heterogeneous Consensus Dynamics

Reducing Complexity of Multiagent Systems with Symmetry Breaking: An Application to Opinion Dynamics with Polls

(2018) Emiliano Cristiani et al.   MULTISCALE MODELING & SIMULATION

Fokker–Planck equations in the modeling of socio-economic phenomena

(2017) Giulia Furioli et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Kinetic models of collective decision-making in the presence of equality bias

(2017) Lorenzo Pareschi et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Performance bounds for the mean-field limit of constrained dynamics

(2016) Michael Herty et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth

(2016) Marie-Therese Wolfram et al.   Kinetic and Related Models

Opinion dynamics over complex networks: Kinetic modelling and numerical methods

(2016) Giacomo Albi et al.   Kinetic and Related Models

Kinetic description of optimal control problems and applications to opinion consensus

(2015) Giacomo Albi et al.   Communications in Mathematical Sciences

(Un)conditional consensus emergence under perturbed and decentralized feedback controls

(2015) Mattia Bongini et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Mean--field control and Riccati equations

(2015) Michael Herty et al.   Networks and Heterogeneous Media

Kinetic models of opinion formation in the presence of personal conviction

(2015) Carlo Brugna et al.   PHYSICAL REVIEW E

Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation

(2015) Bertram Düring et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Contagion Shocks in One Dimension

(2014) Andrea L. Bertozzi et al.   JOURNAL OF STATISTICAL PHYSICS

Mean-field sparse optimal control

(2014) M. Fornasier et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Evolution of wealth in a non-conservative economy driven by local Nash equilibria

(2014) P. Degond et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Wealth distribution and collective knowledge: a Boltzmann approach

(2014) L. Pareschi et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Boltzmann-type control of opinion consensus through leaders

(2014) G. Albi et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Heterophilious Dynamics Enhances Consensus

(2014) Sebastien Motsch et al.   SIAM REVIEW

The Grazing Collision Limit of the Inelastic Kac Model around a Lévy-type Equilibrium

(2012) G. Furioli et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION

(2010) J. A. CAÑIZO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Optimally Interacting Minds

(2010) B. Bahrami et al.   SCIENCE

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

(2010) J. A. Carrillo et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders

(2009) B. During et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Statistical physics of social dynamics

(2009) Claudio Castellano et al.   REVIEWS OF MODERN PHYSICS

A game theory approach in seller–buyer supply chain

(2008) M. Esmaeili et al.   EUROPEAN JOURNAL OF OPERATIONAL RESEARCH