The purpose of this paper is to provide an alternative version of a generalized game, slightly different from the one provided in the seminal paper of Arrow and Debreu (1954). In this revised framework, we introduce the concept of a competitive equilibrium and show how it can be applied to a...

We consider two-player integer allocation problems and provide axiomatic characterizations of adaptations of the Nash (1950) and Kalai-Smorodinsky (1975) solutions for such problems. We also relate the theory developed for integer allocation problems, to the problem of fair allocation of...