arXiv subjects

Shaofang Qi

Publications and source records attributed to Shaofang Qi.

3 recordsLinked to original sources

arXiv2018

Balancedness of Social Choice Correspondences

A social choice correspondence satisfies balancedness if, for every pair of alternatives, x and y, and every pair of individuals, i and j, whenever a profile has x adjacent to but just above y for individual i while individual j has y adjacent to but just above x, then only switching x and y in the orderings for both of those two individuals leaves the choice set unchanged. We show how the balancedness condition interacts with other social choice properties, especially tops-only. We also use balancedness to characterize the Borda rule (for a fixed number of voters) within the class of scoring rules.

math.CO↗

arXiv2015

A Class of Orderings in the Range of Borda's Rule

We present a class of orderings L for which there exists a profile u of preferences for a fixed odd number of individuals such that Borda's rule maps u to L.

math.CO↗

arXiv2014

Partial-conjugates and Dimensionality of Posets

The Pareto dominance relation of a preference profile is (the asymmetric part of) a partial order. For any integer n, the problem of the existence of an n-agent preference profile that generates the given Pareto dominance relation is to investigate the dimension of the partial order. We provide a characterization of a partial order having dimension n in general.

math.CO↗