Accession Number : AD0617079

Title :   ON BALANCED SETS AND CORES,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Shapley,Lloyd S.

Report Date : JUN 1965

Pagination or Media Count : 21

Abstract : A direct correspondence is established between the balanced sets of coalitions of a multi-person game and the conditions that determine whether the game has a core. A balanced set is a collection of subsets of a finite set that can be so weighted as to cover the whole set uniformly. The core of a game is the set of outcomes that cannot be blocked by any coalition. (Author)

Descriptors :   (*SET THEORY, GAME THEORY), (*GAME THEORY, SET THEORY), MATRICES(MATHEMATICS), SPECIAL FUNCTIONS(MATHEMATICAL)

Distribution Statement : APPROVED FOR PUBLIC RELEASE