of autonomous capable of complex theoretical background to optimal In on geometric discounts to evaluate this optimality. processes where future returns are not less valuable. Depending the sample-inefficiency are decayed) mecha-nisms (to deal with sparse, deceptive or adversarial rewards). In this paper, we tackle these issues by generalizing the discounted problem formulation with a family of delayed objective functions. We investigate the underlying RL problem to derive: 1) the optimal stationary solution and 2) an approximation of the optimal non-stationary control. The devised algorithms solved hard exploration problems on tabular environment and improved sample-efficiency on classic simulated robotics benchmarks.