Accession Number:

AD0604085

Title:

QUOTA SOLUTIONS OF N-PERSON GAMES

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1952-04-07

Pagination or Media Count:

25.0

Abstract:

A family of solutions for a class Q of n-person games which embraces all constant-sum four-person games and a not inconsiderable array of higher games is presented. They are called quota games because it is possible in them to define a system of individual quotas for the players which determines the effectiveness of the various two-player coalitions. In the solutions most of the players receive their quotas, but there is some latitude for bargaining. The solutions are typically onedimensional sets, consisting sometimes of n line segments joined at the quota point, sometimes of n - 1 disconnected segments. Their behavior under variation of the characteristic function of the game is continuous.

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE