In this paper, we present a formal framework of possible network formations among immigrants. After arriving in the new country, one of the new immigrant's important decisions is with whom to maintain a link in the foreign country. We find that the behavior of the first two immigrants affects all those who come after them. We also find that in the long run, under specific conditions, the first immigrant will become the leader of the immigrant society. Over time, as the stock of immigrants in the host country increases, the investment in the link with the leader will increase as well.