Distributed Algorithms for Aggregative Games on Graphs
Jayash Koshal, Angelia Nedić, Uday V. Shanbhag
Operations Research · 2016 · Volume 64 · Issue 3
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.
Keywords
noncooperative games, network applications, systems solution
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