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The principle of balanced contributions and hierarchies of cooperation

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<mark>Journal publication date</mark>06/1996
<mark>Journal</mark>Mathematical Social Sciences
Issue number3
Volume31
Number of pages12
Pages (from-to)171-182
Publication StatusPublished
<mark>Original language</mark>English

Abstract

The principle of balanced contributions has appeared repeatedly in the literature on the Shapley value. This principle is akin to the reciprocity properties shared by almost all cooperative solution concepts. We provide a new axiomatization for the level structure value. This axiomatization has the advantage that it can be applied to many important subdomains of TU games. We use the Hart-Mas-Colell potential function as a tool to prove our main result, and establish another interesting characterization for the value as a by-product.