Social mobility and network reciprocity shape cooperation in collaborative networks

Relationships in social networks change over time due to various factors, including mobility, preferences for moral behavior, and the consequent making and breaking of social ties. We therefore study how these factors affect cooperation in actual collaborative networks, where individuals adaptively move with a certain probability. We find that individuals preferentially move towards the sites with a high degree, which yields networks with a higher average degree, but at the same time is conducive to cooperation because positions at the hubs are most beneficial in that way. On the one hand, social mobility thus enhances network reciprocity by generating much more cooperation seeds than the original network, but on the other, it also washes out the network structure and creates well-mixed like conditions if too frequent. Thus, only with limited mobility is network reciprocity optimally enhanced and can yield best conditions for robust cooperation in social networks. And we expect optimal conditions for other forms of moral behavior to require the same patterns of moderate social mobility.

Automated summary

Relationships in social networks change over time due to factors such as mobility and preferences for moral behavior, which affect cooperation in collaborative networks. Individuals tend to move towards sites with high degrees, resulting in networks with higher average degrees and promoting cooperation. However, excessive mobility can lead to network structure dilution and well-mixed conditions. Optimal network reciprocity and robust cooperation require limited mobility, and similar patterns may apply to other forms of moral behavior.