Sasaki and Toda (1992, JET) characterize by four axioms the core of two-sided matching problems in which self-matching(remaining single) is not allowed. In this paper, we extend their model to allow self-matchings. In our model, their axioms are not enough to characterize the core. We propose two additional axioms, individual rationality and indispensability to obtain a full characterization of the core.@
Journal of Economic Literature, Classification Numbers: C71, C78.