Abstract
Friedgut, Kalai, and Nisan have proved that social choice functions can be successfully manipulated by random preference reordering with non- negligible probability. However, their results require two restrictions: the social choice function must be neutral, and the election must have at most 3 alternatives. In this thesis we focus on removing the latter restriction and generalizing the results to elections with any number of candidates. We also provide a survey of related work analyzing and comparing results from a number of authors.
Library of Congress Subject Headings
Social choice--Mathematical models; Elections--Mathematical models
Publication Date
6-10-2014
Document Type
Thesis
Student Type
Graduate
Degree Name
Computer Science (MS)
Department, Program, or Center
Computer Science (GCCIS)
Advisor
Christopher Homan
Advisor/Committee Member
Edith Hemaspaandra
Advisor/Committee Member
Zack Butler
Recommended Citation
Potter, Jonathan, "A Generalized Probabilistic Gibbard-Satterthwaite Theorem" (2014). Thesis. Rochester Institute of Technology. Accessed from
https://repository.rit.edu/theses/8298
Campus
RIT – Main Campus
Plan Codes
COMPSCI-MS
Comments
Physical copy available from RIT's Wallace Library at JF1001 .P68 2014