In a conflict, the parties involved are seeking a solution to a problem. when the parties analyze the interests involved, they really are attempting to determine fill in the blank

In this case, they really are attempting to determine : the unstated, primary causes of the conflict
When each parties that involved in the conflict started to analyze their opponent's interest, they will start to see things based on the opponent's point of view, so they will be more likely to create a compromise that benefits both of the parties.