Solutions for cooperative games with and without transferable utility

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