Accession Number:

AD0655106

Title:

ON BALANCED GAMES WITH INFINITELY MANY PLAYERS

Descriptive Note:

Research memo.

Corporate Author:

HEBREW UNIV JERUSALEM (ISRAEL) DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1967-06-01

Pagination or Media Count:

10.0

Abstract:

A cooperative game with side payments with an arbitrary set of players is formulated. The notions of balancedness and core remain unchanged in this general game. L. S. Shapley invented the two notions above, and proved that the core is non-empty if and only if the game is balanced. In this memorandum the same result is proved for a game with an arbitrary set of players.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE