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Acyclic roommates

Rodrigues-Neto, Jose

Description

In the context of the stable roommates problem, this paper provides an alternative characterization of acyclic instances with n roommates; one that requires checking n - 1 fewer equations than symmetry of the utility functions (Rodrigues-Neto, 2007). We introduce the concepts of agent-cycles and cycle equations and prove that an instance is acyclic if and only if there exists a representation of preferences such that all cycle equations of agent-cycles of length 3 containing an agent i hold. In...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
URI: http://hdl.handle.net/1885/69719
Source: Economics Letters
DOI: 10.1016/j.econlet.2012.11.027

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