Theoretically, imprinted genes can affect social behaviour -- especially if the gene might confer a better or worse chance of reproductive success. The first example of such a gene has now been reported by Garfield and colleagues. The gene is Grb10, encoding an adaptor protein which associates with several receptor tyrosine kinases. The brain selectively expresses the paternal allele and, on disruption of this allele, mice became distinctly more dominant. The maternal allele is expressed by entirely different tissues and its disruption has no effect on behaviour.
Garfield, A.S. et al. (2011), 'Distinct physiological and behavioural functions for parental alleles of imprinted Grb10', Nature Vol. 469, pp. 534-538.