The number of stable matchings in models of the Gale-Shapley type with preferences given by partial orders

• Authors: Ewa DRGAS-BURCHARDT
• Languages of publication: EN

Abstracts

EN

From the famous Gale–Shapley theorem we know that each classical marriage problem admits at least one stable matching. This fact has inspired researchers to search for the maximum number of possible stable matchings, which is equivalent to finding the minimum number of unstable matchings among all such problems of size n. In this paper, we deal with this issue for the Gale–Shapley model with preferences represented by arbitrary partial orders. Also, we discuss this model in the context of the classical Gale–Shapley model.

Keywords

EN

combinatorial problems; stable matching; Gale–Shapley model

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2015
• Volume: 25
• Issue: 1
• Pages: 5-15

Contributors

author

Ewa DRGAS-BURCHARDT

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland

References

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Identifiers

DOI

10.5277/ord150101