PhilSci Archive

The aggregation of propositional attitudes: towards a general theory

Dietrich, Franz and List, Christian (2008) The aggregation of propositional attitudes: towards a general theory. [Preprint]

[img]
Preview
PDF
AttitudeAggregation.pdf

Download (188kB)

Abstract

How can the propositional attitudes of several individuals be aggregated into overall collective propositional attitudes? Although there are large bodies of work on the aggregation of various special kinds of propositional attitudes, such as preferences, judgments, probabilities and utilities, the aggregation of propositional attitudes is seldom studied in full generality. In this paper, we seek to contribute to filling this gap in the literature. We sketch the ingredients of a general theory of propositional attitude aggregation and prove two new theorems. Our first theorem simultaneously characterizes some prominent aggregation rules in the cases of probability, judgment and preference aggregation, including linear opinion pooling and Arrovian dictatorships. Our second theorem abstracts even further from the specific kinds of attitudes in question and describes the properties of a large class of aggregation rules applicable to a variety of belief-like attitudes. Our approach integrates some previously disconnected areas of investigation.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Dietrich, Franz
List, Christian
Keywords: aggregation, probability, judgment, propositional attitudes, opinion pooling, rational agency
Subjects: Specific Sciences > Probability/Statistics
General Issues > Decision Theory
Specific Sciences > Economics
Depositing User: Christian List
Date Deposited: 11 Nov 2008
Last Modified: 07 Oct 2010 15:17
Item ID: 4321
Subjects: Specific Sciences > Probability/Statistics
General Issues > Decision Theory
Specific Sciences > Economics
Date: October 2008
URI: https://philsci-archive.pitt.edu/id/eprint/4321

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item