Emotional agents at the square lattice

TL;DR

This paper models emotional dynamics among agents on a square lattice, revealing oscillating group emotions, stochastic resonance effects, and the influence of emotional antennas on emotion transfer and task efficiency.

Contribution

Introduces numerical models of emotional agents on a lattice, exploring emotion transfer, oscillations, and the impact of antennas and stochastic resonance on group dynamics.

Findings

Group emotions oscillate between two levels with zero mean.

Stochastic resonance enhances signal-to-noise ratio at optimal spontaneous arousal probability.

Emotional antennas can extend influence and improve task efficiency.

Abstract

We introduce and investigate by numerical simulations a number of models of emotional agents at the square lattice. Our models describe the most general features of emotions such as the spontaneous emotional arousal, emotional relaxation, and transfers of emotions between different agents. Group emotions in the considered models are periodically fluctuating between two opposite valency levels and as result the mean value of such group emotions is zero. The oscillations amplitude depends strongly on probability ps of the individual spontaneous arousal. For small values of relaxation times tau we observed a stochastic resonance, i.e. the signal to noise ratio SNR is maximal for a non-zero ps parameter. The amplitude increases with the probability p of local affective interactions while the mean oscillations period increases with the relaxation time tau and is only weakly dependent on other system parameters. Presence of emotional antenna can enhance positive or negative emotions and for the optimal transition probability the antenna can change agents emotions at longer distances. The stochastic resonance was also observed for the influence of emotions on task execution efficiency.