A simple matching domain with indifferences and a master list

Rohan Chowdhury ()
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Rohan Chowdhury: University of Glasgow

Review of Economic Design, 2023, vol. 27, issue 2, No 2, 287-311

Abstract: Abstract We present a two-sided one-to-one market setting where one side of the market is objectively ranked. Constraints prevent agents on the other side from matching with agents who are ranked higher than an agent-specific threshold. The domain allows for indifferences, with preferences of one side being derived from a master preference list, while agents on the other side have general preferences. We analyze matchings with respect to two standard properties: stability and efficiency. Having met these standard goals, the designer facing this problem may additionally care about a third criterion: the size of the matching. We find that for the proposed domain all stable matchings have the same size. We characterize the set of stable and efficient matchings for the problem. Our results show that every matching that is both stable and efficient is hierarchical by nature in a precise sense.

Keywords: Assignment; Matching; Indifferences; Stable-size; Serial dictatorship; C78; D47; D82 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10058-022-00292-9

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