The Value of Research Based on Simple Assumptions about Voters' Preferences [chapter]

William V. Gehrlein, Dominique Lepelley
2011 Studies in Choice and Welfare  
Early research on the general topic of the probability that various paradoxical election outcomes might be observed was typically based on very simple models to describe the likelihood that voters might have different preference rankings on the available candidates. The three primary assumptions of this type are the Dual Culture Condition, the Impartial Culture Condition and the Impartial Anonymous Culture Condition. Research that is based on these assumptions continues to be considered in the
more » ... iterature, despite the fact that they are often criticized by empirically focused researchers for not reflecting realistic voting scenarios. The objective of this study is to clarify the intent and value of the basic research that is based on these simple assumptions. While no claim has ever been made that any of these assumptions reflect realistic scenarios, they still do add very significant value to research on the probability that various paradoxical election outcomes might be observed. In particular, they show that most extreme voting paradoxes should be expected to be rare events.
doi:10.1007/978-3-642-20441-8_7 fatcat:ymjpadczwffcfn5fqrubj4tkca