Final answer:
The relationship is referred to as a 'grievance relationship,' where first-line supervisors are empowered to resolve employee grievances promptly.
Step-by-step explanation:
The relationship which suggests that first-line supervisors should have authority for resolving grievances at the first step of the procedure to give the employee a prompt response is known as a grievance relationship. This relationship aligns with a trend towards less hierarchical and more flat organizational structures, where managers and employees work collaboratively towards the organization's goals and address issues as they arise efficiently.
In such setups, the hierarchy of authority still exists, but there's a push towards empowerment of lower-level managers and employees to make important decisions quickly, which can lead to greater job satisfaction and more effective issue resolution.