# Values of Non-Atomic Games

**Robert J. Aumann & Lloyd S. Shapley **

The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of *non-atomic games*, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics—a study of non-additive set functions and associated linear operators.

First published in 1974.

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