In this article the affiliation details for Author Jean Lainé were incorrectly given as 'Lirsa, National des Arts et Métiers, Paris, France' but should have been "Lirsa, Conservatoire National des Arts et Métiers, Paris, France"In this article, the equation β should be changed to πThe original article has been corrected.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
We investigate the existence and properties of competitive equilibrium in Shapley-Scarf markets involving an exogenous partition of individuals into couples. The presence of couples generates preference interdependencies which cause existence problems. For both cases of transferable and non-transferable income among partners, we establish properties for preferences that are sufficient for the existence of an equilibrium. Moreover, we show that these properties define a maximal preference domain.
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