The Price of Fairness

Operations Research - Tập 59 Số 1 - Trang 17-31 - 2011
Dimitris Bertsimas1, Vivek F. Farias1, Nikolaos Trichakis1
1Operations Research Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139#TAB#

Tóm tắt

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.

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