Donald E. Campbell, Department of Economics, The College of William and Mary (firstname.lastname@example.org). Jerry S. Kelly, Department of Economics, Syracuse University.
A Measure Of The Trade-Off Between Responsiveness and Nondictatorship for Arrovian Social Welfare Functions
Article first published online: 21 JAN 2013
© 2013 Wiley Periodicals, Inc.
Journal of Public Economic Theory
Volume 15, Issue 1, pages 95–102, February 2013
How to Cite
CAMPBELL, D. E. and KELLY, J. S. (2013), A Measure Of The Trade-Off Between Responsiveness and Nondictatorship for Arrovian Social Welfare Functions. Journal of Public Economic Theory, 15: 95–102. doi: 10.1111/jpet.12002
We are grateful for the input of our referees and associate editor. The paper has benefitted substantially from their assistance.
- Issue published online: 21 JAN 2013
- Article first published online: 21 JAN 2013
- Received August 31, 2010; Accepted April 22, 2011.
If individuals are never indifferent between distinct alternatives then for any transitive-valued social welfare function satisfying IIA, and any fraction t, either the set of pairs of alternatives that are socially ordered without consulting more than one individual's preferences comprises at least the fraction t of all pairs, or else the fraction of pairs that have their social ordering determined independently of everyone's s preferences exceeds, or is very close to, 1 −t. The Pareto criterion is not imposed. (There is also a version of this result for the domain of preferences that admit indifference.)