A note on the relationship between the core and stable sets in three-sided markets

Publication date

2020-02-19T11:29:57Z

2022-03-31T05:10:20Z

2019-03

2020-02-19T11:29:58Z

Abstract

We analyze the extent to which two known results of the relationship between the core and the stable sets for two-sided assignment games can be extended to three-sided assignment games. We find that the dominant diagonal property is necessary for the core to be a stable set and, likewise, sufficient when each sector of the three-sided market has two agents. Unlike the two-sided case, the union of the extended cores of all the -compatible subgames with respect to an optimal matching may not be a von Neumann-Morgenstern stable set.

Document Type

Article


Accepted version

Language

English

Publisher

Elsevier B.V.

Related items

Versió postprint del document publicat a: https://doi.org/10.1016/j.mathsocsci.2018.12.002

Mathematical Social Sciences, 2019, vol. 98, num. March, p. 10-14

https://doi.org/10.1016/j.mathsocsci.2018.12.002

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Rights

cc-by-nc-nd (c) Elsevier B.V., 2019

http://creativecommons.org/licenses/by-nc-nd/3.0/es

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