Abstract:
We consider totally balanced cooperative games in which the characteristic function takes integer values. It has been proven that any three- and four-person game has an integer imputation from the core. A similar result, with the exception of one degenerated case, was obtained for five-person game. The method of construction of mentioned integer imputation is indicated. An example of a five-person game is given in which the core consists of a single non-integer imputation.
Keywords:totally balanced cooperative game, core of a cooperative game, balanced collection, characteristic function with integer values, integer imputation.
Fulltext:
PDF file (367 kB)