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.

Hamlet's fourth soliloquy is probably his most famous one - "to be or not to be."it is rather different from his previous soliloquies because now he is contemplating something that didn't come up before - suicide. he is thinking whether it is worth it to fight to find his father's murderer when in the end all of them are going to die, so why not die sooner than later. he is contemplating if he should go on fighting or just kill himself and end it all, which is why this soliloquy in particular is rather depressing, hesitant, and gives a deeper insight into hamlet's madness.