Matroid

Discrete mathematics

Data mining

Mathematical optimization

Mathematical economics

Fair division

Resource allocation

Computer network

Mathematics

Computer science

Division (mathematics)

Cardinality (data modeling)

Arithmetic

ACM SIGecom Exchanges

The fair allocation of resources to interested agents is a fundamental problem in society. While the majority of the fair division literature assumes that all allocations are feasible, in practice there are often constraints on the allocation that can be chosen. In this survey, we discuss fairness guarantees for both divisible (cake cutting) and indivisible resources under several common types of constraints, including connectivity, cardinality, matroid, geometric, separation, budget, and conflict constraints. We also outline a number of open questions and directions.

Constraints in fair division