We consider uncoupled dynamics (each player knows only his own payoff function) that reach outcomes that are Pareto efficient and individually rational. We show that in the worst case the number of periods it takes to reach these outcomes must be exponential in the number of players and hence...

We study the query complexity of approximate notions of Nash equilibrium in games with large number of players n and constant number of actions m. Our main result states that even for constant {\epsilon}, the query complexity of {\epsilon}-well supported Nash equilibrium is exponential in n.