The article explores whether having a single equilibrium in game theory remains steady when game rules are tweaked. It looks at situations where all players find a best strategy and examines what happens when the payoffs change slightly. The researchers find that games where everyone reaches a single agreement ("correlated equilibrium") can persevere even with small changes in payouts. This stability doesn't hold the same way for games where each player acts out of self-interest ("Nash equilibrium"), especially in games with more than two players. They also discover that specific types of games, like two-person zero-sum games, tend to have just one agreed-upon strategy, showing a pattern in how equilibriums hold up.