The Common Pool Game

In this chapter, we will construct from a normal form game which describes a common pool Situation with constant marginal costs and Joint production three different types of arguing in the bargaining process. We assume that subjects can communicate with each other and therefore they can reach agreements which can be binding or not binding. For cases in which we assume that subjects involved communicate with each other to coordinate their strategies we must consider which arguments can be presented in the bargaining process. As a consequence, we have to rely on cooperative solution concepts. A cooperative solution concept of considerable interest is the core which gives us knowledge of the incentives for cooperative behavior. Recall that the core describes all allocation vectors that are coalitional rational and Paretoefficient. No coalition can do better by blocking an allocation that belongs to the core. This can also be understood that core allocation can be stabilized by pronouncing threats and counter threats. Moreover, for a nonempty core there exist incentives for cooperative behavior while exhausting the gains that are feasible through mutual Cooperation. Therefore, by working out general core existence results for cooperative common pool TU-games one can give a theoretical explanation for mutual Cooperation in many common pool situations as have been reported by Ostrom et al. (1994) in contrast to the noncooperative prediction reported by Hardin (1968).