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Judgment Aggregation with Abstentions under Voters' Hierarchy

Jiang, Guifei and Zhang, Dongmo and Perrussel, Laurent Judgment Aggregation with Abstentions under Voters' Hierarchy. (2014) In: 17th International Conference Pacific Rim international Conference on Multi-Agents (PRIMA 2014), 1 December 2014 - 5 December 2014 (Gold Coast, QLD, Australia).

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Official URL: http://dx.doi.org/10.1007/978-3-319-13191-7_28

Abstract

Similar to Arrow’s impossibility theorem for preference aggregation, judgment aggregation has also an intrinsic impossibility for generating consistent group judgment from individual judgments. Removing some of the pre-assumed conditions would mitigate the problem but may still lead to too restrictive solutions. It was proved that if completeness is removed but other plausible conditions are kept, the only possible aggregation functions are oligarchic, which means that the group judgment is purely determined by a certain subset of participating judges. Instead of further challenging the other conditions, this paper investigates how the judgment from each individual judge affects the group judgment in an oligarchic environment. We explore a set of intuitively demanded conditions under abstentions and design a feasible judgment aggregation rule based on the agents’ hierarchy. We show this proposed aggregation rule satisfies the desirable conditions. More importantly, this rule is oligarchic with respect to a subset of agenda instead of the whole agenda due to its literal-based characteristics.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 8861 Lecture Notes in Computer Science ISSN : 0302-9743. ISBN: 978-3-319-13190-0. The original PDF is available at: http://link.springer.com/chapter/10.1007%2F978-3-319-13191-7_28
HAL Id:hal-01316837
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > University of Western Sydney - UWS (AUSTRALIA)
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Deposited By: IRIT IRIT
Deposited On:20 Apr 2016 12:08

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