First Edition of Values of Non-Atomic Games; Inscribed by Bob Aumann to Fellow Nobel Prize-winning economist Kenneth Arrow
Values of Non-Atomic Games.
Aumann, Robert J. and Lloyd S. Shapley [Kenneth J. Arrow].$2,500.00
Item Number: 105744
Princeton, NJ: Princeton University Press, 1974.
First edition of this “first class contribution to the field of game theory” (Oskar Morgenstern). Octavo, original cloth. Association copy, inscribed by Aumann on the title page to fellow Nobel Prize-winning economist Kenneth Arrow, “For Ken Bob Aumann.” Fine in a near fine price-clipped dust jacket. From the library of Kenneth Arrow.
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.