QUOTA SOLUTIONS OF N-PERSON GAMES
RAND CORP SANTA MONICA CA
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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.
- Operations Research