In this paper, we propose a Boltzmann-type kinetic description of mass-varying interacting
multi-agent systems. Our agents are characterised by a microscopic state, which changes …

We introduce and study a mean‐field model for a system of spatially distributed players
interacting through an evolutionary game driven by a replicator dynamics. Strategies evolve …

A mean-field selective optimal control problem of multipopulation dynamics via transient
leadership is considered. The agents in the system are described by their spatial position …

In this paper, we present a model describing the collective motion of birds. We explore the
dynamic relationship between followers and leaders, wherein a select few agents, known as …

A multi-step Lagrangian scheme at discrete times is proposed for the approximation of a
nonlinear continuity equation arising as a mean-field limit of spatially inhomogeneous …

We introduce novel multi-agent interaction models of entropic spatially inhomogeneous
evolutionary undisclosed games and their quasi-static limits. These evolutions vastly …

We study a multi-agent system for the modeling maritime crime. The model involves three
interacting populations of ships: commercial ships, pirate ships, and coast guard ships …

We propose and investigate general kinetic models with transition probabilities that can
describe the simultaneous change of multiple microscopic states of the interacting agents …

In the paper we present a model of discrete-time mean-field game with several populations
of players. Mean-field games with multiple populations of the players have only been …

The well-posedness of a multi-population dynamical system with an entropy regularization
and its convergence to a suitable mean-field approximation are proved, under a general set …