Section: New Results

Distributed Best Response

We have designed and analyzed distributed algorithms to compute a Nash equilibrium in random potential games. Our algorithms are based on best-response dynamics, with suitable revision sequences (orders of play). We compute the average complexity over all potential games of best response dynamics under a random i.i.d. revision sequence, since it can be implemented in a distributed way using Poisson clocks. We obtain a distributed algorithm whose execution time is within a constant factor of the optimal centralized one. We also showed how to take advantage of the structure of the interactions between players in a network game: non- interacting players can play simultaneously. This improves best response algorithm, both in the centralized and in the distributed case [32].