Interior operator games were introduced by Bilbao et al. (2005) as additive games restricted by antimatroids. In that paper several interesting cooperative games were shown as examples of interior operator games. The antimatroid is a known combinatorial structure which represents, in the game...

This paper contributes to consistency for the additive efficient normalization of semivalues. Motivated from the additive efficient normalization of a semivalue being a B-revision of the Shapley value, we introduce the B-reduced game which is an extension of Sobolev’s reduced game. Then the...

A new linear value for cooperative transferable utility games is introduced. The recursive definition of the new value for an n-person game involves a sequential process performed at n−1 stages, applying the value to subgames with a certain size k,1⩽kn, combining with the rule of two-leveled...