Pairwise stability

We consider a job market in which preferences of players are represented by linearly increasing valuations. The set of players is divided into two disjoint subsets: A set of workers and a set of firms. The set of workers is further divided into subsets, which represent different categories or classes in everyday life.

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Focusing on furniture layout, Bukowski and S´ equin [1995] intro- duce “object association” constraints that are designed to facili- tate direct manipulation of furniture arrangements. For example, the user can constrain a bookshelf to slide along walls without penetration or separation. Xu et al. [2002] present a constraint- based furniture layout system that incorporates pairwise relation- ships which enforce stability, non-penetration, and alignment. Ger- mer and Schwarz [2009] describe an agent-based procedure for fur- niture layout.

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