@inbook{c5d9c96c263e433bb8451bd982657c50,
title = "Strategy-proof location functions on finite graphs",
abstract = "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.",
keywords = "Center, Location function, Median, Strategy-proof",
author = "McMorris, {F. R.} and Mulder, {Henry Martyn} and Roberts, {Fred S.}",
note = "Funding Information: Acknowledgements 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. Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media New York.",
year = "2014",
doi = "10.1007/978-1-4939-0742-7_4",
language = "English (US)",
series = "Springer Optimization and Its Applications",
publisher = "Springer International Publishing",
pages = "63--75",
booktitle = "Springer Optimization and Its Applications",
}