In this paper, we propose a new cycle criterion, Cyclical Conflicts (CCs), for preference profiles in two-sided matching markets through a dynamic mechanism. We first show that CCs provide a complete characterization of singleton cores in two-sided matching markets. Secondly, we prove the...

In this paper, we propose three methods to compare the manipulability degrees of two groups of Social Choice Correspondences (SCCs); the Scoring Rules and the Condorcet rules. We pick one rule from the first group, the Borda rule, and three from the other, the Copeland rule, the Topset and the...