| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 973187 | Mathematical Social Sciences | 2015 | 4 Pages |
Abstract
•Some trade-offs implicit in the framework of Arrow’s Impossibility Theorem are uncovered.•We provide a measure of the extent to which transitivity must be sacrificed to get a significant reduction in dictatorial power.•We provide a measure of the extent to which the domain must be restricted to get a significant reduction in dictatorial power.
We quantify the trade-off between the scope of dictatorial power and (1) the extent to which social orderings are transitive and (2) the extent to which the domain has the free triple property.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Donald E. Campbell, Jerry S. Kelly,