Static edge voting models

Abstract

Modelling human dynamics is an emerging field, where researchers try to develop mathematical and computational models about social phenomenon. However, human society is extremely complex, therefore if we would like to obtain a mathematically tractable model, then we have to cut down the complexity. It is a common approach to modelling only a particular aspect of the complex behaviour. We are primarily interested in how networks of the human society come into being, because the processes that shape our society operate on these networks. In this paper we highlight one aspect, and try to model the following situation: there is a closed population of agents, where each agent has a level of extrovert behaviour: every agent knows the desired number of connections that she or he would like to maintain. Here we discuss very simple models, where each agent votes on the connections according to their preferences, and the connections are based on the votes.