Final answer:
There isn't a specific name for the game described in the question where a supervisor or supervisee flaunts knowledge over the other. The interaction can create an unhealthy competitive environment in contrast to the benefits of an equal partnership in the workplace.
Step-by-step explanation:
The interaction described, where either a supervisor or a supervisee consistently shows off their knowledge over the other, does not have a specific name that is widely recognized in organizational behavior literature. However, this dynamic can lead to an unhealthy power struggle or a competitive environment that's not conducive to a team's success. The traditional manager/employee relationship acknowledges the need for equal partnership, emphasizing the value of cooperative dynamics and the contribution of both parties towards the organization's broader goals. In contrast to a supportive working relationship, when one party tries to assert dominance by flaunting knowledge, it can lead to reduced team cohesion and may ultimately be detrimental to the organization's success.