This article is aimed at exploring the implications of the introduction of self-control and temptation motives in inter temporal preferences within an elementary competitive equilibrium with production. Letting heterogeneous agents differ from both their discounting parameters and their temptation motives, this article is interested in the long-run distribution of consumptions and wealths. Results are at odds from the ones obtained in a standard Ramsey benchmark setup in that long-run distributions are commonly non degenerated ones.