Punishment-Dominance Condition on Stable Two-Sided Matching Algorithms
AbstractIn this article, we consider a many-to-one two-sided matching market and define a canonical strategic form game, in which any worker applies to the top k firms and is assigned to the most preferred firm that does not reject him/her. Under the substitute property of firms' preferences, the game satisfies the punishment-dominance condition. The deferred-acceptance algorithm by Gale and Shapley (Amer. Math. Monthly 69: 1962), which finds the maximum and minimum of stable matchings, is described as an instance of the algorithm by Masuzawa (Int. Jour. Game Theory 38: 2008), which determines the α-cores of the strategic form games with the punishment-dominance condition.
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Bibliographic InfoPaper provided by Keio/Kyoto Joint Global COE Program in its series Keio/Kyoto Joint Global COE Discussion Paper Series with number 2012-018.
Length: 14 pages
Date of creation: Oct 2012
Date of revision:
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-11-11 (All new papers)
- NEP-BEC-2012-11-11 (Business Economics)
- NEP-GTH-2012-11-11 (Game Theory)
- NEP-MIC-2012-11-11 (Microeconomics)
- NEP-NET-2012-11-11 (Network Economics)
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