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On the Efficiency-Fairness Trade-off

Author

Listed:
  • Dimitris Bertsimas

    (MIT Sloan School of Management and Operations Research Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Vivek F. Farias

    (MIT Sloan School of Management and Operations Research Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Nikolaos Trichakis

    (Harvard Business School, Harvard University, Boston, Massachusetts 02163)

Abstract

This paper deals with a basic issue: How does one approach the problem of designing the "right" objective for a given resource allocation problem? The notion of what is right can be fairly nebulous; we consider two issues that we see as key: efficiency and fairness. We approach the problem of designing objectives that account for the natural tension between efficiency and fairness in the context of a framework that captures a number of resource allocation problems of interest to managers. More precisely, we consider a rich family of objectives that have been well studied in the literature for their fairness properties. We deal with the problem of selecting the appropriate objective from this family. We characterize the trade-off achieved between efficiency and fairness as one selects different objectives and develop several concrete managerial prescriptions for the selection problem based on this trade-off. Finally, we demonstrate the value of our framework in a case study that considers air traffic management. This paper was accepted by Yossi Aviv, operations management.

Suggested Citation

  • Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2012. "On the Efficiency-Fairness Trade-off," Management Science, INFORMS, vol. 58(12), pages 2234-2250, December.
    • Handle: RePEc:inm:ormnsc:v:58:y:2012:i:12:p:2234-2250
    DOI: 10.1287/mnsc.1120.1549
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    References listed on IDEAS

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    1. M Butler & H P Williams, 2002. "Fairness versus efficiency in charging for the use of common facilities," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(12), pages 1324-1329, December.
    2. Yaozhong Wu & Christoph H. Loch & Ludo Van der Heyden, 2008. "A Model of Fair Process and Its Limits," Manufacturing & Service Operations Management, INFORMS, vol. 10(4), pages 637-653, June.
    3. A. Federgruen & H. Groenevelt, 1988. "M/G/c Queueing Systems with Multiple Customer Classes: Characterization and Control of Achievable Performance Under Nonpreemptive Priority Rules," Management Science, INFORMS, vol. 34(9), pages 1121-1138, September.
    4. Dimitrios Bisias & Andrew W Lo & James F Watkins, 2012. "Estimating the NIH Efficient Frontier," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-10, May.
    5. Butler, Martin & Williams, H. Paul, 2002. "Fairness versus efficiency in charging for the use of common facilities," LSE Research Online Documents on Economics 18399, London School of Economics and Political Science, LSE Library.
    6. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
    7. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2011. "The Price of Fairness," Operations Research, INFORMS, vol. 59(1), pages 17-31, February.
    8. Mor Armony & Amy R. Ward, 2010. "Fair Dynamic Routing in Large-Scale Heterogeneous-Server Systems," Operations Research, INFORMS, vol. 58(3), pages 624-637, June.
    9. Dimitris Bertsimas & Sarah Stock Patterson, 1998. "The Air Traffic Flow Management Problem with Enroute Capacities," Operations Research, INFORMS, vol. 46(3), pages 406-422, June.
    10. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    11. Tony Haitao Cui & Jagmohan S. Raju & Z. John Zhang, 2007. "Fairness and Channel Coordination," Management Science, INFORMS, vol. 53(8), pages 1303-1314, August.
    12. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
    13. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    14. Wagstaff, Adam, 1991. "QALYs and the equity-efficiency trade-off," Journal of Health Economics, Elsevier, vol. 10(1), pages 21-41, May.
    15. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    16. Cynthia Barnhart & Dimitris Bertsimas & Constantine Caramanis & Douglas Fearing, 2012. "Equitable and Efficient Coordination in Traffic Flow Management," Transportation Science, INFORMS, vol. 46(2), pages 262-280, May.
    17. Xuanming Su & Stefanos Zenios, 2004. "Patient Choice in Kidney Allocation: The Role of the Queueing Discipline," Manufacturing & Service Operations Management, INFORMS, vol. 6(4), pages 280-301, June.
    18. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    19. Xuanming Su & Stefanos A. Zenios, 2006. "Recipient Choice Can Address the Efficiency-Equity Trade-off in Kidney Transplantation: A Mechanism Design Model," Management Science, INFORMS, vol. 52(11), pages 1647-1660, November.
    20. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
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