When a game has more than one Nash equilibrium,
A) at least one of them will be Pareto optimal.
B) they will all tend to be unstable.
C) they must provide the same total payoff to the players.
D) it is difficult to predict which of them will actually occur.

Question

Quizplus · Accepted Answer

When there are multiple Nash equilibria, it is difficult to predict which one will actually occur in a game. This can be due to a variety of factors, such as players' preferences or perceptions of the other players' actions. Therefore, it is important to analyze each Nash equilibrium and consider its potential outcomes before making a decision. Option A is not necessarily true, as not all Pareto optimal outcomes are Nash equilibria. Option B is also untrue, as some Nash equilibria can be stable. Option C is not always true either, as different Nash equilibria can provide different payoffs to the players.

When a Game Has More Than One Nash Equilibrium