The game is a classic prisoner’s dilemma, but the framing may obscure this fact. Each student is matched with another over a number of rounds. In each round, each chooses between Pulling some amount of money to herself (akin to defect) or Pushing a larger amount to her partner (akin to cooperate). Actions and payoffs are revealed after each round.
This game is a good intro to basic game theory. It shows the conflicting incentives of cooperation and self-interest. The highest payoff is achieved when both students choose Push, but there is always a temptation to Pull for a higher private payoff. Use this classic game to teach students why cooperative outcomes may be difficult to achieve in the real world, and that repeated play can lead to more cooperation.
Alternatively see MobLab’s matrix Prisoner’s Dilemma.