A strategy is a Nash equilibrium in a game with many players if there is a sequence of smaller games where it's an equilibrium, with the number of players getting smaller. The smaller games become more like the big game in terms of players and their actions. This means that approximate equilibria in big economies can show strategic insignificance. It also suggests a new way to define equilibria for games with many players, by looking at equilibria of smaller games. This helps us get rid of equilibria that only exist in the big game, making limit equilibrium a natural concept for games with many players.