On Integer Imputations of the Core of Totally Balanced Cooperative Games

We consider totally balanced cooperative games in which the characteristic function takes integer values. It is proved that any three- or four-person game has an integer imputation from the core. A similar result, with the exception of one degenerate case, is obtained for five-person games. An example of a five-person game is given in which the core consists of a single noninteger imputation.