Title: Values of Non-Atomic Games, III: Values and Derivatives
Abstract: Abstract : A non-atomic game is a special kind of infinite-person game, in which no individual player has significance; such games have recently attracted attention as models for mass phenomena in economics. In this Memorandum, the characteristic function of the game is extended to a space that includes not only the ordinary coalitions (measurable sets) of players, but also certain 'ideal' coalitions--intuitively, sets to which a player can 'belong' at any intensity between 0 and 1. The value of the game is then redefined in terms of the derivatives of this extended function, following the principle that a player's value is based upon his incremental worth to coalitions. The close relation between this definition and those previously considered is established. (Author)
Publication Year: 1970
Publication Date: 1970-01-01
Language: en
Type: article
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Cited By Count: 1
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