Preferential attachment

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"To him that hath shall be given." - from Matthew, the Bible

In a system that runs a preferential attachment process, a new connection has a tendency to connect with already well-connected connections. Over time, a small number of hubs - clusters of well-connected connections - dominate the system.

Connected nodes

This is how the world works. Some startup hubs, financial centres and touristic hotspots have been able to expand their dominance for decades. The same happens on a smaller scale in corporations, parties and other entities. One reason this happens is autocatalysis: Complex processes cause reactions that sustain and re-trigger the network. Outside of those hubs, the chain reactions fail to materialise or fizzle out from a lack of energy.

As a consequence, the hardest part is the beginning.