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08 February 2025
 
  » arxiv » 1605.0267

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Distributed Algorithms for Aggregative Games on Graphs
Jayash Koshal ; Angelia Nedić ; Uday V. Shanbhag ;
Date 1 May 2016
AbstractWe consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player’s objective is a function of the aggregate of all the players’ decisions. Every player maintains an estimate of this aggregate, and the players exchange this information with their local neighbors over a connected network. We study distributed synchronous and asynchronous algorithms for information exchange and equilibrium computation over such a network. Under standard conditions, we establish the almost-sure convergence of the obtained sequences to the equilibrium point. We also consider extensions of our schemes to aggregative games where the players’ objectives are coupled through a more general form of aggregate function. Finally, we present numerical results that demonstrate the performance of the proposed schemes.
Source arXiv, 1605.0267
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