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 relational economy in which economic agents participate in three types of relational economic activities: autarkic activities; binary matching activities; and plural cooperative activities. We introduce a stability notion and characterize stable interaction structures, both in the...

A ranking method assigns to every weighted directed graph a (weak) ordering of the nodes. In this paper we axiomatize the ranking method that ranks the nodes according to their outflow using four independent axioms. This outflow ranking method generalizes the ranking by outdegree for directed...

Yang's theory of economic specialization under increasing returns to scale (Yang 2001) is a formal development of the fundamental Smith-Young theorem on the extent of the market and the social division of labor. In this theory specialization and, thus, the social division of labor is firmly...

Xiaokai Yang's theory of economic specialization under increasing returns to scale is a formal development of the fundamental Smith-Young theorem on the extent of the market and the social division of labor. In this theory specialization and, thus, the social division of labor is firmly embedded...

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...

We consider a network economy in which economic agents are connected within a structure of value-generating relationships. Agents are assumed to be able to participate in three types of economic activities: autarkic self-provision; binary matching interactions; and multi-person cooperative...

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...