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arXiv · 1707.01496

Group Strategyproof Pareto-Stable Marriage with Indifferences via the Generalized Assignment Game

Nevzat Onur Domaniç·Chi-Kit Lam·C. Gregory Plaxton
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Abstract

We study the variant of the stable marriage problem in which the preferences of the agents are allowed to include indifferences. We present a mechanism for producing Pareto-stable matchings in stable marriage markets with indifferences that is group strategyproof for one side of the market. Our key technique involves modeling the stable marriage market as a generalized assignment game. We also show that our mechanism can be implemented efficiently. These results can be extended to the college admissions problem with indifferences.

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Nevzat Onur Domaniç, Chi-Kit Lam, C. Gregory Plaxton. 2017-10-11. Group Strategyproof Pareto-Stable Marriage with Indifferences via the Generalized Assignment Game. https://doi.org/10.1007/978-3-319-66700-3_22

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