We study the existence and uniqueness of equilibria for perfectly competitive markets in capacitated transport networks. The model under consideration is rather general so that it captures basic aspects of related models in, e.g., gas or electricity networks. We formulate the market equilibrium...

This chapter presents the results on the cores of perfectly competitive exchange economies, that is economies in which the endowment of each agent is negligible on the scale of the whole economy. In the contributions of Edgeworth, Debreu and Scarf, and Aumann, the conclusion is: the core (in...

The investment boundaries defined by Grenadier (2002) for an oligopoly investment game determine equilibria in open-loop strategies. As closed-loop strategies, they are not equilibria, because any firm by investing sooner can preempt the investments of other firms and expropriate the growth...

Perfectly competitive economies are economic models with many agents, each of whom is relatively insignificant. This chapter studies the relations between the basic economic concept of competitive (or Walrasian ) equilibrium , and the game-theoretic solution concept of value . It includes the...