4 th Twente Workshop on Cooperative

The aim of the present paper is to study several solution concepts for bicooperative games. For these games introduced by Bilbao [1], we define a one-point solution called the Shapley value, since this value can be interpreted in a similar way to the classical Shapley value for cooperative games. The firs result of the paper is an axiomatic characterization of this value. Next, we define the core and the Weber set and prove that the core of a bicooperative game is always contained in its Weber set. Finally, we introduce an special class of bicooperative games, the so-called bisupermodular games, and show that these games are the only ones in which their core and the Weber set coincide.