Homocores, Cores and Operational Inefficiency in Superadditive N-Person Games.

摘要

Defects in the core as a solution to n-person superadditive characteristic function games are examined and the process of achieving a reasonable core by changing the value of the grand coalition is studied. A new unique solution concept, the homocore, is proposed based on the homomollifier notion interpreted as the result of implicit bargaining and weighted averages of coalitional worth. Thereby unreasonable cores are excluded but a core-like dominance property on the average is maintained. It also yields a measure of operational efficiency where the game may be interpreted as an economic situation of decreasing marginal productivity. (Author)