We examine a chain of sequential losses: an agent causes a loss to another, which triggers a loss to a third, and so forth. Our objective is to redistribute the losses fairly, taking into account that the chain turns "victim" to "injurer" in its subsequent step. This opens up for many...

We allocate objects to agents as exemplified primarily by school choice. Welfare judgments of the object-allocating agency are encoded as edge weights in the acceptability graph. The welfare of an allocation is the sum of its edge weights. We introduce the constrained welfare-maximizing...