We review the theory of fairness as it pertains to concretely specified problems of resource allocations. We present …, as well as various families extending these notions. We also introduce relational notions specifying how allocation rules … ownership is mixed. We offer a number of characterizations of particular allocation rules. …

We survey the economics of transboundary river water allocation, which emerged in the 1960s and has matured over the … attention to the strategic aspects of transboundary river water allocation. These strategic aspects are captured by employing … game theory to assess the economics of transboundary river water allocation in a simple model of river sharing. This model …

maximal partial allocation of items to the players that is EF, though it may not be PO. Then we show how to augment it in a … way that makes it a complete allocation that is EF for one player (say, A) and almost-EF for the other player (B) in the …, we show how low-ranked that exceptional item can be for B, thereby finding an almost-EF allocation that is as close as …

to the players. The allocation(s) that AL yields are Pareto-optimal, envy-free, and maximal; as the number of items …

shape of the cake and its pieces. Fairness and social welfare implications of these procedures are analyzed in various …

allocation is still efficient but may not be fair. However, on average, participants receive the same outcome they would have …