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Congestion Games with Complementarities

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arxiv 1701.07304 v2 pith:RZXTMOP7 submitted 2017-01-25 cs.GT

Congestion Games with Complementarities

classification cs.GT
keywords functionsmodelaggregationcongestionequilibriaexistencegamesnash
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We study a model of selfish resource allocation that seeks to incorporate dependencies among resources as they exist in modern networked environments. Our model is inspired by utility functions with constant elasticity of substitution (CES) which is a well-studied model in economics. We consider congestion games with different aggregation functions. In particular, we study $L_p$ norms and analyze the existence and complexity of (approximate) pure Nash equilibria. Additionally, we give an almost tight characterization based on monotonicity properties to describe the set of aggregation functions that guarantee the existence of pure Nash equilibria.

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