This is a great question. The more excellent way that Paul speaks of in 1 Corinthians 13 is love. According to the context of the chapter and book, it is better than four other things. First, it is better than supernatural manifestations of God. Speaking in the tongue of angels is tantamount to noise without love. Second, it is better knowledge. The ability to fathom mysteries is worth little without love. Third, it is better than faith. Moving mountains with faith, once again, is nothing without love. Fourth, it is even better than sacrifice and works.
If I speak in the tongues of men or of angels, but do not have love, I am only a resounding gong or a clanging cymbal. If I have the gift of prophecy and can fathom all mysteries and all knowledge, and if I have a faith that can move mountains, but do not have love, I am nothing. If I give all I possess to the poor and give over my body to hardship that I may boast, but do not have love, I gain nothing.
Now you ask where is this love in our world. It is there, but often times people prize other things more. That is the problem. For example, people prize knowledge, power, and money more than love. So, what Paul is saying is: we need to change our minds and hearts. What the world needs is not more money, but more love. We can say that this Paul's solution.