Transitivity in Social Welfare Functions
The ability to select a social welfare function that defines a transitive output (i.e., well defined ranking over alternatives).
Question template
Lena chairs a band and is comparing four rules that turn the members' ballots into a group ranking for choosing the opening song for its tour. Each member ranks all three songs (alternatives). The ballots are: ballots For every pair of songs, each rule decides which one the group places above the other. The four rules are: rules On these ballots, the verdicts of only one rule form a well-defined (transitive) ranking of the songs. Which rule is it?
Use it
from datasets import load_dataset
ds = load_dataset("narunraman/steer", "sc_transitivity_rules")curl "https://steer-benchmark.cs.ubc.ca/api/sample?element_name=sc_transitivity_rules&n=5&seed=42"
See the Reference for the parameters.