Also, x i fluctuate in phase, thus yielding a large fluctuation of their sum. Finally, the fluctuations may decrease the average utility in this case. Conclusions - Competitive Nash equilibria are usually affected by very large fluctuations, which increase with the number of players. Competition leads to broad distributions and large inequalities in an economic system. This is reminiscent of Pareto Law of distribution of incomes.
Inequalities increase with the number of players.
This means that two players tend to have opposite fluctuations around Nash Equilibrium.