Two‐stage majoritarian choice

We propose a class of decisive collective choice rules that rely on linear ordering to partition the majority relation into two acyclic relations. The first these relations is used pare down set feasible alternatives shortlist while second make final from shortlist. Rules in this are characterized by four properties: classical rationality requirements (Sen's Expansion Consistency and Manzini Mariotti's Weak WARP ); adaptations (Arrow's Independence Irrelevant Alternatives Saari Barney's No Preference Reversal Bias ). These also satisfy some other desirable properties, including an adaptation May's Positive Responsiveness .