Distributed Algorithms for Aggregative Games on Graphs

Jayash Koshal; Angelia Nedić; Uday V. Shanbhag

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arXiv · 1605.00267

Distributed Algorithms for Aggregative Games on Graphs

Jayash Koshal·Angelia Nedić·Uday V. Shanbhag

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Abstract

We 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.

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BibTeX RIS

Jayash Koshal, Angelia Nedić, Uday V. Shanbhag. 2016-06-08. Distributed Algorithms for Aggregative Games on Graphs. https://arxiv.org/abs/1605.00267

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