Aggregating partitions

Conal Duddy; Ashley Piggins

doi:10.13025/22945

Aggregating partitions

Conal Duddy
, Ashley Piggins

Economics

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

Abstract

Consider the following social choice problem. A group of individuals seek to partition a finite set X into two subsets. The individuals may disagree over the partition and an aggregation rule is applied to determine a compromise outcome. We permit collective indifference and so the outcome is a pair of disjoint subsets of X which may or may not partition X. Critically, neither subset can contain all of the elements in X. We present four normatively desirable properties that identify one aggregation rule uniquely. These properties are similar to those Young (J. Econ. Theory 9 (1974) 43-52) used in his characterization of the Borda rule.

Original language	English (Ireland)
Title of host publication	PET 10
Publisher	National University of Ireland, Galway
DOIs	https://doi.org/10.13025/22945
Publication status	Published - 1 Jun 2010

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10.13025/22945Licence: CC BY-NC-ND

Paper 0168Accepted author manuscript, 547 KBLicence: CC BY-NC-ND

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AB - Consider the following social choice problem. A group of individuals seek to partition a finite set X into two subsets. The individuals may disagree over the partition and an aggregation rule is applied to determine a compromise outcome. We permit collective indifference and so the outcome is a pair of disjoint subsets of X which may or may not partition X. Critically, neither subset can contain all of the elements in X. We present four normatively desirable properties that identify one aggregation rule uniquely. These properties are similar to those Young (J. Econ. Theory 9 (1974) 43-52) used in his characterization of the Borda rule.

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Aggregating partitions

Abstract

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