The work aims to investigate a paradigm of instability in coalition forming among countries, using a model inspired from Statistical Physics. The instability is a consequence of decentralized maximization of the individual benefits where contradictory associations into coalitions occur due to...

In the context of diffusion of innovations, we propose a probabilistic model based on interacting populations connected through new communication channels. The potential adopters are heterogeneous in the connectivity levels and in their taste for innovation. The proposed framework can model the...

In this paper, the leader-following consensus problem of noise perturbed multi-agent systems with time-varying delays is investigated. We analyze two different cases of coupling topologies: fixed topology and switching topology. Based on the Lyapunov functional and combining with the linear...

In multi-agent system (MAS), the communication topology of agent network plays a very important role in its consensus problem. To describe the communication topologies of MAS, a class of evolving network models with the concept of physical position neighbourhood connectivity are proposed and...

We propose a discrete-time model of opinion dynamics. The neighborhood relationship is decided by confidence radius and influence radius of each agent. We investigate the influence of heterogeneity in confidence/influence distribution on the behavior of the network. The simulations suggest that...

A deterministic system of interacting agents is considered as a model for economic dynamics. The dynamics of the system is described by a coupled map lattice with nearest neighbor interactions. The evolution of each agent results from the competition between two factors: the agent’s own...

The one-dimensional deterministic economic model recently studied by González-Estévez et al. [J. González-Estévez, M.G. Cosenza, R. López-Ruiz, J.R. Sanchez, Physica A 387 (2008) 4637] is considered on a two-dimensional square lattice with periodic boundary conditions. In this model, the...

Today’s supply networks consist of a certain amount of logistics objects that are enabled to interact with each other and to decide autonomously upon their next steps; in other words, they exhibit a certain degree of autonomous cooperation. Therefore, modern logistics research regards them as...

We investigate the convergence rates of diffusion in bidirectional Erdös–Rényi networks. We analytically and numerically demonstrate that the asymptotic distribution is far from a bell shape. Further, we numerically verify that the dynamical networks generated by the Barabasi–Albert model,...

This paper is devoted to the study of the average-consensus problem in directed networks of agents with both switching topology and time-delay. The stability analysis is performed based on a proposed Lyapunov–Krasovskii function. Sufficient conditions in terms of linear matrix inequalities...