The alliance theory, also known as the general theory of exchanges, is a structuralist method of studying kinship relations. It finds its origins in Claude Lévi-Strauss's Elementary Structures of Kinship (1949) and is in opposition to the functionalist theory of Radcliffe-Brown. Alliance theory has oriented most anthropological French works until the 1980s; its influences were felt in various fields, including psychoanalysis, philosophy and political philosophy.
The hypothesis of a "marriage-alliance" emerged in this frame, pointing out towards the necessary interdependence of various families and lineages. Marriages themselves are thus seen as a form of communication that anthropologists such as Lévi-Strauss, Louis Dumont or Rodney Needham have described. Alliance theory hence tries to understand the basic questions about inter-individual relations, or what constitutes society.
Alliance theory is based on the incest taboo: according to it, only this universal prohibition of incest pushes human groups towards exogamy. Thus, inside a given society, certain categories of kin are forbidden to inter-marry. The incest taboo is thus a negative prescription; without it, nothing would push men to go searching for women outside of their inner kinship circle, or vice versa. This theory echoes with Freud's Totem and Taboo (1913). But the incest taboo of alliance theory, in which one's daughter or sister is offered to someone outside a family circle, starts a circle of exchange of women: in return, the giver is entitled to a woman from the other's intimate kinship group. Thus the negative prescriptions of the prohibition have positive counterparts. The idea of the alliance theory is thus of a reciprocal or a generalized exchange which founds affinity. This global phenomenon takes the form of a "circulation of women" which links together the various social groups in one whole: society.