Final answer:
The type of social influence where compliance is in response to a command from an authority figure is known as obedience to authority. This was notably demonstrated in Stanley Milgram's social psychology experiments.
Step-by-step explanation:
The type of social influence that occurs when one person orders another to perform some action and the other person then complies is known as obedience to authority. This concept is a key aspect of social psychology and underscores how authority figures can compel individuals to conform to specific actions or behaviors, often due to the anticipation of consequences for non-compliance.
One of the most famous experiments demonstrating this phenomenon was conducted by social psychologist Stanley Milgram, which highlighted how people are willing to obey authority figures even to the extent of performing acts conflicting with their personal conscience. Contrasting with other forms of social influence like conformity, where individuals match the attitudes, beliefs, and behaviors of a group to fit in or feel accepted, obedience involves a change in behavior in response to a direct command from an authority figure.