A general framework for distributed vote aggregation

We present a general model for opinion dynamics in a social network together with several possibilities for object selections at times when the agents are communicating. We study the limiting behavior of such a dynamics and show that this dynamics almost surely converges. We consider some special implications of the convergence result for gossip and top-k selective gossip models. In particular, holds in a general setting. Moreover, we propose an extension of the gossip and top-k selective gossip models, and provide some results for their limiting behavior.