Recently a variety of link-based stability concepts have emerged in the literature on game theoretic models of social network formation. We investigate two basic formation properties that establish equivalence between some well known types of stable networks and their natural extensions. These...

We investigate the equilibria of game theoretic models of network formation that are based on individual actions only. Our approach is grounded in three simple and realistic principles: (1) Link formation should be a binary process of consent. (2) Link formation should be costly. (3) The class...

We consider game theoretic models of social network formation. In this paper, we limit our investigation to game theoretic models of network formation that are based on individual actions only. Our approach is based on three simple and realistic principles: (1) Link formation is a binary process...

We consider a class of cooperative network games with transferable utilities in which players interact through a probabilistic network rather than a regular, deterministic network. In this class of wealth-generating situations we consider probabilistic extensions of the Myerson value and the...

In this paper we model the formation of directed communication networks. A directed communication network is represented by a directed graph. Firstly, we study an allocation rule satisfying two appealing properties, component efficiency and directed fairness. We show that such an allocation rule...