Template-type: ReDif-Paper 1.0 Author-Name: Dietrich Franz Author-Name: List Christian Author-workplace-name: METEOR Title: Propositionwise judgment aggregation Abstract: In the theory of judgment aggregation, it is known for which agendas of propositions it is possible to aggregate individual judgments into collective ones in accordance with the Arrow-inspired requirements of universal domain, collective rationality, unanimity preservation, non-dictatorship and propositionwise independence. But it is only partially known for which agendas it is possible to respect additional requirements, notably non-oligarchy, anonymity, no individual veto power, or implication preservation. We fully characterize the agendas for which there are such possibilities, thereby answering the most salient open questions about propositionwise judgment aggregation. Our results build on earlier results by Nehring and Puppe (2002), Nehring (2006) and Dietrich and List (2007a). Keywords: mathematical economics; Series: Research Memoranda Creation-Date: 2009 Number: 020 File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:9d9a2bb9-c2e8-42ec-9d45-a0eea167b734/datastreams/ASSET1/content File-Format: application/pdf File-Size: 387788 Handle: RePEc:unm:umamet:2009020