The vNM stable set in one-to-one matching markets is unique and equals the core of a reduced environment derived from internal stability and dominance relations.
(1987): Three fast algorithms for four problems in stable marriage, SIAM Journal on Computing, 16, 111--128
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A characterization of the von Neumann and Morgenstern stable set in matching markets
The vNM stable set in one-to-one matching markets is unique and equals the core of a reduced environment derived from internal stability and dominance relations.