In this paper we study resource allocation problems that involve multiple self-interested parties or players and a central decision maker. We introduce and study the price of fairness, which is the relative system efficiency loss under a "fair" allocation assuming that a fully efficient allocation is one that maximizes the sum of player utilities. We focus on two well-accepted, axiomatically justified notions of fairness, viz., proportional fairness and max-min fairness. For these notions we provide a tight characterization of the price of fairness for a broad family of problems.
In the literature of operations research, Bertsimas et al. REF have derived a tight bound to characterize the efficiency loss under proportional fairness and max-min fairness, respectively.
The Price of Fairness
Oper. Res.
Oper. Res.
Computer Science Economics