Strategy-Proof Location Functions on Finite Graphs

  • F. R. McMorrisEmail author
  • Henry Martyn Mulder
  • Fred S. Roberts
Part of the Springer Optimization and Its Applications book series (SOIA, volume 92)


A location function on a finite graph takes a set of most preferred locations (vertices of the graph) for a set of users, and returns a set of locations satisfying conditions meant to please the entire user set as much as possible. A strategy-proof location function is one for which it never benefits a user to report a suboptimal preferred location. We introduce four versions of strategy-proof and prove some preliminary results focusing on two well-known location functions, the median and the center.


Location function Center Median Strategy-proof 



Fred Roberts thanks the National Science Foundation for support under grant SES-1024722 to Rutgers University and the Department of Homeland Security for support under award 2009-ST-061-CCI002-04 to Rutgers University.


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • F. R. McMorris
    • 1
    • 2
    Email author
  • Henry Martyn Mulder
    • 3
  • Fred S. Roberts
    • 4
  1. 1.Department of Applied MathematicsIllinois Institute of TechnologyChicagoUSA
  2. 2.Department of MathematicsUniversity of LouisvilleLouisvilleUSA
  3. 3.Econometrisch InstituutErasmus UniversiteitRotterdamThe Netherlands
  4. 4.DIMACS Center, Rutgers UniversityPiscatawayUSA

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