Kojima, Fuhito and Tamura, Akihisa and Yokoo, Makoto (2014): Designing Matching Mechanisms under Constraints: An Approach from Discrete Convex Analysis.
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Abstract
We consider twosided matching problems where agents on one side of the market (hospitals) are required to satisfy certain distributional constraints. We show that when the preferences and constraints of the hospitals can be represented by an Mnaturalconcave function, (i) the generalized Deferred Acceptance mechanism is strategyproof for doctors, (ii) it produces the doctoroptimal stable matching, and (iii) its time complexity is proportional to the square of the number of possible contracts. Furthermore, we provide sufficient conditions for representation by an Mnaturalconcave function. These conditions are applicable to various existing works and enable new applications as well, thereby providing a recipe for developing desirable mechanisms in practice.
Item Type:  MPRA Paper 

Original Title:  Designing Matching Mechanisms under Constraints: An Approach from Discrete Convex Analysis 
Language:  English 
Keywords:  twosided matching, manytoone matching, market design, matching with contracts, matching with constraints, Mnaturalconcavity, strategyproofness, deferred acceptance 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C78  Bargaining Theory ; Matching Theory D  Microeconomics > D6  Welfare Economics > D61  Allocative Efficiency ; CostBenefit Analysis D  Microeconomics > D6  Welfare Economics > D63  Equity, Justice, Inequality, and Other Normative Criteria and Measurement 
Item ID:  62226 
Depositing User:  Prof. Makoto Yokoo 
Date Deposited:  20 Feb 2015 16:47 
Last Modified:  28 Sep 2019 21:27 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/62226 
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Designing Matching Mechanisms under Constraints: An Approach from Discrete Convex Analysis. (deposited 30 May 2014 03:37)
 Designing Matching Mechanisms under Constraints: An Approach from Discrete Convex Analysis. (deposited 20 Feb 2015 16:47) [Currently Displayed]