In the modern world, the processes of globalization, migration, increased social mobility, the availability of tourism and other ways of meeting cultures lead to the activation of intercultural communication. More and more people become bearers of more than one culture (biculturals). The choice of an identity model in scientific publications is often considered as a result of environmental influences, but intrapsychic factors, including cognitive styles, are not sufficiently considered. Existing studies give a rather vague picture. The purpose of this work is to generalize the available data on the role of the cognitive component in the identification processes, to identify possible predictors of hybrid and alternative identification, to build a model of the influence of cognitive factors on the choice of an identification model. The author's hypothetical model of cognitive predictors of hybrid or alternative identity (in the schema format) is proposed. We see further prospects for working on the problem in the empirical testing of the proposed model.