Extending an order on a set to its power set: An axiomatic characterization of the average Borda rule
at the Andrew Young School of Policy Studies

"Extending an order on a set to its power set: An axiomatic characterization of the average Borda rule" (pdf)

by Nick Baigent and Yongsheng Xu
May 2004

Keywords: Borda score, extending an order on a set to its power set

This paper considers the problem of extending a linear order on a set to its power set when the linear order is represented by the Borda score function. We propose four simple and intuitive axioms to characterize the ranking rule of sets of possible outcomes under complete uncertainty based on the average Borda scores for given sets.

Comments and questions regarding this paper may be directed to Yongsheng Xu at yxu3@gsu.edu.