The article analyzes the theoretical approaches to solving dilemmas of the transfer of explicit and tacit knowledge within the context of a significant volume of unconscious competence in the conditions of digitization of a substantial amount of parameters and data criteria. Computational capabilities of hardware, mathematical tools, statistical methods, cybernetics and information technologies permit to solve some of the problems of creation, transfer and transformation of knowledge. Specific social algorithms and methods are produced for building the trust, reputation, leadership, responsibility, which can effectively develop a virtual business and other forms of digital economy in the context of innovation-based growth.