One-Shot Decision Theory: A Fundamental Alternative for Decision Under Uncertainty

The attempts of this paper are as follows: clarifying the fundamental differences between the one-shot decision theory which was initially proposed in the paper [16] and other decision theories under uncertainty to highlight that the one-shot decision theory is a scenario-based decision theory instead of a lottery-based one; pointing out the instinct problems in other decision theories to show that the one-shot decision theory is necessary to solve one-shot decision problems; manifesting the relation between the one-shot decision theory and the probabilistic decisionmethods. As regret is a common psychological experience in one-shot decision making, we propose the one-shot decision methods with regret in this paper.