Ranking judgments in Arrow's setting
نویسنده
چکیده
In this paper, I investigate the relationship between preference and judgment aggregation, using the notion of ranking judgment introduced inList andPettit (Synthese 140(1–2):207–235, 2004). Ranking judgments were introduced in order to state the logical connections between the impossibility theorem of aggregating sets of judgments proved in List and Pettit (Economics and Philosophy 18:89–110, 2002) and Arrow’s theorem (Arrow, Social choice and individual values, 1963). I present a proof of the theorem concerning ranking judgments as a corollary of Arrow’s theorem, extending the translation between preferences and judgments defined in List and Pettit (Synthese 140(1–2):207–235, 2004) to the conditions on the aggregation procedure.
منابع مشابه
Arrow's theorem in judgment aggregation
In response to recent work on the aggregation of individual judgments on logically connected propositions into collective judgments, it is often asked whether judgment aggregation is a special case of Arrowian preference aggregation. We argue the opposite. After proving a general impossibility result on judgment aggregation, we construct an embedding of preference aggregation into judgment aggr...
متن کاملIndependence in judgment aggregation
Judgment aggregation is a rapidly developing research area in economics which attracts the interest of several fields, such as law, political science and philosophy [3]. It studies how the individual opinions of an agent, which are opinions on logically interconnected propositions, can be mapped into a collective judgment on the same propositions. Dietrich and List showed that judgment aggregat...
متن کاملA Pedagogical Proof of Arrow's Impossibility Theorem By
In this note I consider a simple proof of Arrow's Impossibility Theorem (Arrow 1963). I start with the case of three individuals who have preferences on three alternatives. In this special case there are 13 = 2197 possible combinations of the three individuals' rational preferences. However, by considering the subset of linear preferences, and employing the full strength of the IIA axiom, I red...
متن کاملHierarchical Group Compromise Ranking Methodology Based on Euclidean–Hausdorff Distance Measure Under Uncertainty: An Application to Facility Location Selection Problem
Proposing a hierarchical group compromise method can be regarded as a one of major multi-attributes decision-making tool that can be introduced to rank the possible alternatives among conflict criteria. Decision makers’ (DMs’) judgments are considered as imprecise or fuzzy in complex and hesitant situations. In the group decision making, an aggregation of DMs’ judgments and fuzzy group compromi...
متن کاملArrow theorems in the fuzzy setting
Throughout this paper, our main idea is to analyze the Arrovian approach in a fuzzy context, paying attention to different extensions of the classical Arrow's model arising in mathematical Social Choice to aggregate preferences that the agents define on a set of alternatives. There is a wide set of extensions. Some of them give rise to an impossibility theorem as in the Arrovian classical mod...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Synthese
دوره 173 شماره
صفحات -
تاریخ انتشار 2010