Final answer:
The question involves game theory, where players usually do not switch sides after every game; instead, they make decisions based on fairness and are willing to sacrifice gains to enforce fair play.
Step-by-step explanation:
The question seems to be referencing a concept from game theory, which is generally studied in economics as part of social studies. In game theory experiments, such as the one described, it is not the norm for players to switch sides after every game. Instead, the data mentioned suggests that players make decisions based on perceived fairness, often rejecting offers that are not close to an even split. Such behavior indicates that players are motivated not only by self-interest but also by the desire to maintain fairness. When fairness is violated, these players are willing to reject any financial gain to punish the violator, suggesting that consequences for fairness violations are important to them.