There is an interesting difference between Shabbat candles and Hanukah candles. According to rabbinic law, eyn madlikin mi-ner le-ner, one is not allowed to light one Hanukah candle from another. That is, each Hanukah candle has its own holiness and therefore it cannot be used for any other purpose—even to light another Hanukah candle. (This is why we use a specially designated candle that is not part of the sanctified lights to light the other candles.) This is different from Shabbat candles that are essentially utilitarian—they are meant to light up the room—and therefore one candle can be used to light another candle.
The Hanukah lights then symbolize a deep truth about people. Ner Adonai nishmat adam/ The soul of a person is the light of God. Each person is unique to the extent that we cannot truly grasp another person and therefore—and this is key—we cannot use other people; we can only respond to their needs. As we light the Hanukah candles tonight we remember that each person is a light of God. Each person is uniquely different. Each person has infinite worth.