Deciding within a competition

In this paper we present two models for the description of what we call a decision within a competition. With this term we denote an iterative process through which two sets of deciders Da and Db may take a decision about either one or two competing projects. Such a decision involves the approval of a project and such approval turns into the definition and the sharing of the sets of benefits and costs that derive to the deciders either from the single project or from the two competing projects. In both models the main aim is the acceptance of a project from both sets of deciders through the devising of fair solutions and the sharing of benefits and costs among such sets of deciders.