The Limits of Morality in Strategic Games
This work addresses the problem of formalizing moral responsibility in game theory for researchers in logic and ethics, but it is incremental as it builds on existing suggestions about cost-based blameworthiness.
The paper tackles the problem of measuring blameworthiness in strategic games by proposing a modal logical system based on the cost of prevention, and it proves a completeness theorem for this system.
A coalition is blameable for an outcome if the coalition had a strategy to prevent it. It has been previously suggested that the cost of prevention, or the cost of sacrifice, can be used to measure the degree of blameworthiness. The paper adopts this approach and proposes a modal logical system for reasoning about the degree of blameworthiness. The main technical result is a completeness theorem for the proposed system.