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The Lattice of Core (Sub)Matchings in a Two-Sided Matching Market
Mathematics of Operations Research, 1994We consider the two-sided matching model of Demange and Gale (1985). Given a suitable partial ordering and a correct definition of “matching,” we show the set of core matchings is (under a nondegeneracy assumption) always a lattice. The results parallel the “set of core matchings is a lattice” theorem (Conway, in Knuth 1976) for the marriage market of
Thomas Quint
exaly +3 more sources
Changeable two-sided matching for changing environment
2012 IEEE 11th International Conference on Cognitive Informatics and Cognitive Computing, 2012Two-sided matching is a major matching problem for players in two groups. If a player joins or leaves a group, the matching must be calculated from scratch. In this paper, we propose a changeable two-sided matching problem for two-sided problems in changing environments where a player can join or leave groups.
Kazuhiro Kuwabara, Kenji Iwamoto
exaly +3 more sources
Two-sided coalitional matchings
Mathematical Social Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dinko Dimitrov, Emiliya Lazarova
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Constrained stability in two-sided matching markets [PDF]
Social Choice and Welfare, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mustafa Oguz Afacan, Umut Mert Dur
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Equivalence of two-sided stable matching
Journal of Combinatorial Optimization, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liwei Zhong, Yanqin Bai
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Two-Sided Matching Problems with Externalities
Journal of Economic Theory, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sasaki, Hiroo, Toda, Manabu
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Two-sided matching with interdependent values
Journal of Economic Theory, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Archishman Chakraborty +2 more
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The Strategy Structure of Two-Sided Matching Markets
Econometrica, 1985This paper considers two-sided markets with general demand structure. A market is two-sided if no buyer wants more than one unit, sellers may offer multiple units, and the good is indivisible. A market is matching if an assignment of buyers and sellers results, in which a monetary payment over the unit involved is possible.
Demange, Gabrielle, Gale, David
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