Domain restrictions have been the focus of much research in recent decades. Gaertner (2001) provides a general overview. Le Breton and Weymark (2006) survey work on domain restrictions that arise naturally when analyzing economic problems in Arrow’s framework. Miller (1992) suggests that deliberation can facilitate rational social choice by transforming initial preferences into single peaked preferences.  List and Dryzek (2003) argue that deliberation can bring about a “structuration” of individual preferences that facilitates democratic decision making even without achieving full single-peakedness. List et al. (2013) present empirical evidence that deliberation sometimes does have this effect.