I have an instinctive emotional desire to keep what I possess. You have an instinctive emotional desire to feel compassion for someone who is suffering. Because of your emotions, you want to raise taxes on my property to support the poor. Because of my emotions, I want my taxes to stay the same, if not lower. How can science decide between us?
Social game theory is complex but not impossible to understand. If it were impossible, countries not ruled by the pope any more would be all like Somalia.
Game theory helps you decide, given a game with certain rules and a scoring metric, how to maximize your score. Political philosophy helps you choose the rules of the game.