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...

A network payoff function assigns a utility to all participants in a (social) network. In this paper we discuss properties of such network payoff functions that guarantee the existence of certain types of pairwise stable networks and the convergence of certain network formation processes. In...

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...

We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded...

This paper provides a way of evaluating a player's contribution to her team and relates her effort to her salaries. We collect data from UEFA Euro 2008 Tournament and construct the passing network of each team. Then we determine the key player in the game while ranking all the other players too....