Convergence and Quality of Iterative Voting Under Non-Scoring Rules

Iterative voting is a social choice mechanism whereby voters are allowed to continually make strategic changes to their stated preferences until no further change is desired. We study the iterative voting framework for several common voting rules and show that, for these rules, an equilibrium may never be reached. We also consider several variations of iterative voting and show that with these variations equilibrium likewise may not be reached. Finally, we present an empirical analysis of the quality of candidates elected through iterative voting.