Purpose This study aims to represent a first attempt to examine in a non-clinical population the interplay between social engagement, executive function (EF) and theory of mind (ToM) within a social motivation theory framework. Design/methodology/approach A total of 170 participants (135 female; mean age = 19.01 and standard deviation = 1.27) completed measures of ToM (Faux Pas task), autistic traits (Autism Spectrum Quotient), social engagement (reward dependence subscale of the Temperament and Character Inventory), sociability and EF (both subscales of the Adult Temperament Questionnaire). Findings Path analyses found that EF, sociability and social engagement were negatively associated with autistic traits both directly and indirectly. Results indicate that EF may impact sociability and social engagement and their interaction may relate to the degree of autistic traits shown in a typical sample. However, ToM (as measured by the Faux Pas test) was not related to any of the other variables. Originality/value Sociability, social engagement and effortful control deficits may be linked to higher levels of autistic traits. These factors appear to form a hierarchy of factors underpinning autism spectrum disorder, with EF contributing to all aspects, followed by sociability and social engagement at a higher level. Future research examining in clinical populations the utility of a more integrated model of social motivation that incorporates EF appears warranted.