An immune response against an antigen is induced by stimulation with a two-component vaccine that includes an antiidiotypic antibody as one of the components. An immune response against an antigen is also induced by stimulation with other two-component vaccines. Stimulation by a two-component vaccine may be followed by stimulation with a monoclonal broadly neutralizing anti-HIV antibody or with one of the components of the two-component vaccine. This method of inducing immunity has applications in vaccines against infectious pathogens and in therapeutic and preventive vaccines against cancers.