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We propose a new framework for optimization under fairness constraints. The problems we consider model procurement where the goal is to optimize a buyer's utility while paying sellers in a manner that reflects their contribution to the buyer's utility. The payment rules we consider are natural interpretations of fairness based on concepts such as Shapley values and the nucleolus from cooperative game theory. The question in this setting is whether the outcome (measured in terms of the buyer'sdoi:10.1145/2764468.2764505 dblp:conf/sigecom/BalkanskiS15 fatcat:6ls6uqkturfqbkvad45dcxk7iu