Abstract: We introduce the framework of parameterized collections of games and provide three nonemptiness of approximate core theorems for arbitrary games with and without sidepayments. The parameters bound (a) the number of approx-imate types of players and the size of the approximation and (b) the size of nearly effective groups of players and their distance from exact effectiveness. The theorems are based on a new notion of partition-balanced pro
Keywords: cooperative games, clubs, local public goods, games without side payments (NTU games), large games, approximate cores, effective small groups, parameterized collections of games.
JEL Classification: C7;D7