Template-type: ReDif-Paper 1.0 Author-Name: Dietrich, F.K. Author-workplace-name: Quantitative Economics Author-Name: List, C. Author-workplace-name: Externe publicaties SBE Title: The impossibility of unbiased judgement aggregation Abstract: All existing impossibility theorems on judgment aggregation over logically connected propositions have one of two restrictions: they either use a controversial systematicity
condition or apply only to special agendas of propositions with rich logical connections. An important open question is whether judgment aggregation faces any serious impossibilities without these restrictions. Here we prove the first impossibility
theorem without systematicity that applies to all standard agendas: there exists no judgment aggregation rule satisfying universal domain, collective rationality, anonymity and a new condition called unbiasedness. For many agendas, anonymity
can be weakened. Applied illustratively to (strict) preference aggregation represented in the judgment aggregation model, our result implies that every unbiased social welfare function with universal domain depends only on a single individual.
Series: METEOR Research Memorandum Creation-Date: 20050101 Number: 049 File-URL: https://cris.maastrichtuniversity.nl/ws/files/49530850/RM05049.pdf File-Format: application/pdf File-Size: 216945 Handle: Repec:unm:umamet:2005049 DOI: 10.26481/umamet.2005049