Competition of information channels in the spreading of innovations

Abstract

We study the spreading of information on technological developments in socioeconomic systems where the social contacts of agents are represented by a network of connections. In the model, agents get informed about the existence and advantages of new innovations through advertising activities of producers, which are then followed by an interagent information transfer. Computer simulations revealed that varying the strength of external driving and of interagent coupling, furthermore, the topology of social contacts, the model presents a complex behavior with interesting novel features: On the macrolevel the system exhibits logistic behavior typical for the diffusion of innovations. The time evolution can be described analytically by an integral equation that captures the nucleation and growth of clusters of informed agents. On the microlevel, small clusters are found to be compact with a crossover to fractal structures with increasing size. The distribution of cluster sizes has a power-law behavior with a crossover to a higher exponent when long-range social contacts are present in the system. Based on computer simulations we construct an approximate phase diagram of the model on a regular square lattice of agents.

Orbital Evolution of Eccentric Low-mass Companions Embedded in Gaseous Disks: Testing the Local Approximation

“…This mass range includes the extreme mass-ratios inspirals of BHs in active galactic nuclei (e.g. Kocsis et al 2011). It also includes planetary cores and embryos up to 3 Earth masses in their natal protoplanetary disks.…”

“…Embryos, protoplanetary cores and planets change its orbital parameters (semimajor axis a, eccentricity e and inclination i) due to the mutual gravitational scatterings and due to the exchange of angular momentum and energy with the protoplanetary disk (e.g., Baruteau et al 2014). Likewise, stars, stellar black holes and other compact objects experience orbital evolution within accretion disks around supermassive black holes in active galactic nuclei (e.g., Kocsis et al 2011).…”

Scale-Free Network Topologies with Clustering Similar to Online Social Networks

“…In the near future the model networks are being subjected to agent-based simulation of information spreading using the model of Kocsis and Kun [11]. This model can be a good base of later study of effectiveness of advertising in online social networks.…”

Repeated gravitational lensing of gravitational waves in hierarchical black hole triples

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