Final answer:
The influence tactic that promises future benefits for compliance is called Exchange. It is connected to tactics like the foot-in-the-door technique and is related to cognitive dissonance in the field of persuasion.
Step-by-step explanation:
The influence tactic that involves promising future benefits to achieve compliance with a request is known as Exchange. This tactic operates on the premise that rewarding someone or providing them with benefits can encourage them to comply with what is being asked of them. It relates to persuasion tactics such as the foot-in-the-door technique, where an individual is persuaded to agree to a small favor with the idea that it will make them more likely to agree to a larger request later on. Another concept that ties into influence tactics is cognitive dissonance, which is the discomfort experienced when one's behavior is not in line with their attitudes or beliefs, often leading to a change in behavior or attitude to reduce the dissonance.