Template-type: ReDif-Paper 1.0 Author-Name: Bossert Walter Author-Name: Peters Hans Author-workplace-name: METEOR Title: Single-plateaued choice Abstract: Single-plateaued preferences generalize single-peaked preferences by allowing for multiple bestelements. These preferences have played an important role in areas such as voting,strategy-proofness andmatching problems. We examine the notion of single-plateauedness in a choice-theoretic setting.Single-plateaued choice is characterized by means of a collinear interval continuity property inthe presence of independence of irrelevant alternatives. Further results establish that our notionof single-plateauedness conforms to the motivation underlying the term and we analyze theconsequences of alternative continuity properties. The importance of basic assumptions such asclosedness and convexity is discussed. Keywords: microeconomics ; Series: Research Memoranda Creation-Date: 2012 Number: 026 File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:0feb30fb-76b7-4ce2-a412-d2496460e120/datastreams/ASSET1/content File-Format: application/pdf File-Size: 324721 Handle: RePEc:unm:umamet:2012026