Solutions for cooperative games with and without transferable utility

When individuals generate benefits from their cooperation, allocation problems may occur regarding how much of the benefit from the cooperation each individual should take. In many economic situations, defining the contribution of each individual in a fair way is essential. This thesis is on cooperative game theory, a mathematical tool that models and analyses cooperative situations between individuals. Throughout the monograph, allocation rules that are based on the contributions of individuals are studied. The first two parts of this thesis are on the class of transferable utility games, in which benefits from cooperation can be freely transferred between agents. In the first part, allocation rules when the cooperation between agents is restricted by a communication structure are studied. A chapter of this part gives a new characterization of a known allocation rule. In the next chapter, allocation rules are investigated for the class of games in which the underlying communication structure is represented by a circle. The second part of this thesis introduces a new type of restriction on cooperation between players, called quasi-building system, which covers many known structures. The third part of this thesis deals with situations in which benefits from cooperation are not transferable between individuals. This part focuses on when an allocation rule based on contributions of individuals leads to an economically satisfying result.