A necessary and sufficient condition for stable matching rules to be strategy-proof

Takashi Akahoshi ()

Social Choice and Welfare, 2014, vol. 43, issue 3, 683-702

Abstract: We study one-to-one matching problems and analyze conditions on preference domains that admit the existence of stable and strategy-proof rules. In this context, when a preference domain is unrestricted, it is known that no stable rule is strategy-proof. We introduce the notion of the no-detour condition, and show that under this condition, there is a stable and group strategy-proof rule. In addition, we show that when the men’s preference domain is unrestricted, the no-detour condition is also a necessary condition for the existence of stable and strategy-proof rules. As a result, under the assumption that the men’s preference domain is unrestricted, the following three statements are equivalent: (i) a preference domain satisfies the no-detour condition, (ii) there is a stable and group strategy-proof rule, (iii) there is a stable and strategy-proof rule. Copyright Springer-Verlag Berlin Heidelberg 2014

Date: 2014
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DOI: 10.1007/s00355-014-0803-1

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