Abstract
Given a group of agents, a formal context makes it possible to describe very general situations of cooperation where the results of collaborations depend on certain attributes. A concept game defines a payment for each coalition of actors that generates a concept in a given context. Thus, in this article, we deal with situations of cooperation restricted by the definition of concepts. The interpretation of payments as the level of importance of the coalition leads us to be able to establish a ranking of the agents in the context. Following the classic Banzhaf index for cooperative games, we define a value for these situations in formal contexts and we give an axiomatization of them. Finally, in order to show the model, we include an application in the field of e-commerce.
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