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This study proposed a model to give a full-scale simulation for the dynamicsof the collaborations in the dblp dataset. It is a distributed model with thecapability of simulating large hypergraphs, namely systems with heterogeneouslymultinary relationship. Its assembly mechanism of hyperedges is driven byLotka's law and a cooperative game that maximizes benefit-cost ratio forcollaborations. The model is built on a circle to express the game, expressingthe cost by the distance between nodes. The benefit of coauthoring with aproductive researcher or one with many coauthors is expressed by the cumulativedegree or hyperdegree of nodes. The model successfully captures themultimodality of collaboration patterns emerged in the dblp dataset, andreproduces the evolutionary trends of collaboration pattern, degree,hyperdegree, clustering, and giant component over thirty years remarkably well.This model has the potential to be extended to understand the complexity ofself-organized systems that evolve mainly driven by specific cooperative games,and would be capable of predicting the behavior patterns of system nodes.

A distributed hypergraph model for the full-scale simulation of the collaborations in dblp