Agents playing a network formation game to maximize Katz centrality via resource allocation reach Nash equilibria where centralities are proportional to budgets in complete networks and form hierarchical structures in general networks with self-loops.
Bounded budget connection (bbc) games or how to make friends and influence people, on a budget
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A Network Formation Game for Katz Centrality Maximization: A Resource Allocation Perspective
Agents playing a network formation game to maximize Katz centrality via resource allocation reach Nash equilibria where centralities are proportional to budgets in complete networks and form hierarchical structures in general networks with self-loops.