ON BALANCED SETS AND CORES,

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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

Author(s):
Shapley, Lloyd S.
Author Organization(s):
RAND CORP SANTA MONICA CALIF
Annotation:
Balanced sets and Cores.
Pagination:
0021

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
RM-4601-PR
Contract/Grant Number(s):
AF49 638 700
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*SET THEORY, GAME THEORY), (*GAME THEORY, SET THEORY), MATRICES(MATHEMATICS), SPECIAL FUNCTIONS(MATHEMATICAL)
Keyword(s):
CORES(GAME THEORY)
Report Date:
1965 Jun 01