NDLI: Random paths to pairwise stability in many-to-many matching problems: a study on market equilibration

Content Provider	Springer Nature Link
Author	Kojima, Fuhito Ünver, M. Utku
Copyright Year	2006
Abstract	This paper considers a decentralized process in many-to-many matching problems. We show that if agents on one side of the market have substitutable preferences and those on the other side have responsive preferences, then, from an arbitrary matching, there exists a finite path of matchings such that each matching on the path is formed by satisfying a blocking individual or a blocking pair for the previous matching, and the final matching is pairwise-stable. This implies that an associated stochastic process converges to a pairwise-stable matching in finite time with probability one, if each blocking individual or pair is satisfied with a positive probability at each period along the process.
Starting Page	473
Ending Page	488
Page Count	16
File Format	PDF
ISSN	00207276
Journal	International Journal of Game Theory
Volume Number	36
Issue Number	3-4
e-ISSN	14321270
Language	English
Publisher	Springer-Verlag
Publisher Date	2006-10-05
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Many-to-many matching Pairwise stability Stability Random paths Organization/Planning Operations Research/Decision Theory Game Theory, Economics, Social and Behav. Sciences Economic Theory
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Social Sciences Economics and Econometrics Statistics, Probability and Uncertainty

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Random paths to pairwise stability in many-to-many matching problems: a study on market equilibration