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...

The nucleolus offers a desirable payoff-sharing solution in cooperative games, thanks to its attractive properties-it always exists and lies in the core (if the core is nonempty), and it is unique. The nucleolus is considered as the most `stable' solution in the sense that it lexicographically...

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...