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26 April 2024
 
  » arxiv » 1701.7304

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Congestion Games with Complementarities
Matthias Feldotto ; Lennart Leder ; Alexander Skopalik ;
Date 25 Jan 2017
AbstractWe 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.
Source arXiv, 1701.7304
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