On the domain of two-sided assignment markets, the nucleolus is axiomatized as the unique solution that satisfies … characterization of the nucleolus by means of a strong form of the bisection property that characterizes the inter- section between the … core and the kernel of a coalitional game in Maschler et al (1979). …

(Definition 4.4) and completeness (Definition 4.8). For this class we prove that the core, resp., the nucleolus when the core is … complete Eulerian graphs having the 4-cut property, we are able to test core membership in O(n) time, and when the core is not … empty, we show how to calculate the nucleolus in O(n^2) time, n being the number of players. …

nonredundant core constraints, ease of computation of the core and the nucleolus, and cases of decomposition of the core and the … negative costs on edges and vertices. Among the properties studied are the nonemptiness of the core, characterization of … nucleolus. …

The nucleolus offers a desirable payoff-sharing solution in cooperative games, thanks to its attractive properties …. Although computing the nucleolus is very challenging, the Kohlberg criterion offers a method for verifying whether a solution … is the nucleolus in relatively small games (number of players n at most 15). This approach becomes more challenging for …

the Bifocal Distribution game, to show that both the Nucleolus, introduced by Schmeidler (1969), and the Shapley value …

The nucleolus offers a desirable payoff-sharing solution in cooperative games, thanks to its attractive properties …. Although computing the nucleolus is very challenging, the Kohlberg criterion offers a method for verifying whether a solution … is the nucleolus in relatively small games (number of players n at most 15). This approach becomes more challenging for …

are currently employed/unemployed. We show that such a process is absorbed into the core with probability one in finite … time. Moreover, within the core, allocations are selected that are characterized by surplus splitting according to a …

-298) is proposed to allow for multiple membership. The definition of the core is adapted analogously and the possibilities for …