The best method for promoting the happiness of everyone is if each of us pursues his or her own happiness exclusively. This argument does not really support ethical egoism at all. But an ethical egoist would never grant the claim that we have a moral obligation to promote the happiness of everyone equally. Ayn Rand's Dilemma Either ethical egoism or a morality of self-sacrifice is true. The life of each individual human being is of supreme moral worth.
Traditional morality is a morality of self-sacrifice.
Therefore, traditional morality requires that we sacrifice what is of supreme moral worth. Therefore, traditional morality must be rejected, and ethical egoism is true. This argument can be found in the writings of Ayn Rand. But the first premise of this argument poses a false dilemma. Only My Happiness Matters Commonsense obliges us to do such things as keep our promises, tell the truth and avoid harming others.