this process as a (non-empty) solution concept. We show that each core allocation always constitutes a singleton recurrent … that some core allocations are less likely to be final allocations of the dynamic process than cycles composed of non-core …

the core using either of the population sensitivity properties in addition to weak unanimity and consistency. On the …

all men acceptable, Sasaki and Toda (1992) characterize the core by anonymity, Pareto optimality, consistency, and … by characterizing the core on the domain of no odd rings roommate markets by individual rationality, anonymity, Pareto …

, we show that on the domain of solvable hedonic coalition formation games, the Core is characterized by coalitional … unanimity and Maskin monotonicity (see also Takamiya, 2010, Theorem 1). Next, we characterize the Core for solvable hedonic … games, there exists a solution not equal to the Core that satisfies coalitional unanimity, consistency, competition …

We extend Jackson and Watts's (2002) result on the coincidence of S-stochastically stable and core stable networks from … marriage problems to roommate problems. In particular, we show that the existence of a side-optimal core stable network, on …

matchings. This implies that whenever the core is non-empty (e.g., for marriage markets), a matching is in the core if and only … if it is stochastically stable, i.e., stochastic stability is a characteristic of the core. Several solution concepts … have been proposed to extend the core to all roommate markets (including those with an empty core). An important …

characterizations of the core using either competition or resource sensitivity. On the domain of all roommate markets, we obtain two …

characterizations of the core using either competition or resource sensitivity. On the domain of all roommate markets, we obtain two …