Final answer:
Compromise is the method where each party gives up something it is seeking but gains some advantage.
Step-by-step explanation:
The method where each party gives up something it is seeking, but gains some advantage is called compromise. In political bargaining, compromise is most likely to occur when the participants generally agree on the goals but have disagreements on the specific details. Compromise requires the ability to see gray areas and possible points of connection or overlap, and it involves a willingness to accept partial progress toward a desired goal.