Abstract
Using the set-theoretical notions of multifunction and selection, we introduce a new theoretical approach to the problem of existence of subjective random errors explicitly assumed in the stochastic choice literature. Selection processes, determined by suitable error functions, allow decision makers to base their choices on complete and transitive preference relations even when these preferences cannot be represented by continuous utility functions. The problem of existence of continuous selection processes is discussed and solved under particular conditions. Open questions arising from the presented framework are also provided.