Anton's Game: Deontological Decision Theory for an Iterated Decision Problem

How should deontologists approach decision-making under uncertainty, for an iterated decision problem? In this article I explore the shortcomings of a simple expected value approach, using a novel example to raise questions about attitudes to risk, the moral significance of tiny probabilities, the independent moral reasons against imposing risks, the morality of sunk costs, and the role of agent-relativity in iterated decision problems.