We consider situations in which shares of n firms are held by the same n firms as well as by individual investors. The problem is to determine the actual control of the firms by the individual investors. In part 1, we develop the mathematical model, and explain the basic notions of clutter and...

The space of continuous, piecewise smooth homogeneous functions of degree one in two variables can be generated by linear functions and by functions which are the minimum of two linear expressions. This permits a representation of the value for homogeneous games on two measures in terms of the...

The notion of automorphism is an essential tool to capture the meaning of any mathematical structure. We apply this idea to cooperative games and obtain two interesting characterizations of the automorphisms of such a game: the one, in the complete case, as the permutations of players which...