Two groups produce a network good perceived by a third party, such as a police or military institution, as a 'public bad', referred to as 'crime' for simplicity. These two groups, considered mafias, are assumed to be antagonists, whether they are enemies or competitors in the same market,...

Two groups produce a network good perceived by a third party, such as a police or military institution, as a "public bad", referred to as "crime" for simplicity. These two groups, considered mafias, are assumed to be antagonists, whether they are enemies or competitors in the same market,...

Measuring individual productivity (or equivalently distributing the overall productivity) in a network structure of workers displaying peer effects has been a subject of ongoing interest in many areas ranging from academia to industry. In this paper, we propose a novel approach based on...

This paper proposes new centrality measures to characterise the ‘key class’, whose removal results in maximal reduction in the network activity, when agents in a network are sorted into role-equivalent classes. The notion of role-equivalence is defined through the graph-theoretical concept...

Measuring individual productivity (or equivalently distributing the overall productivity) in a network structure of workers displaying peer effects has been a subject of ongoing interest in many areas ranging from academia to industry. In this paper, we propose a novel approach based on...

This paper proposes new centrality measures to characterise the ‘key class’, whose removal results in maximal reduction in the network activity, when agents in a network are sorted into role-equivalent classes. The notion of role-equivalence is defined through the graph-theoretical concept...

In this paper, we develop a new game theoretic network centrality measure based on the Shapley value. To do so, we consider a coalitional game, where the worth of each coalition is the total play in the game introduced in Ballester et al. (2006). We first establish that the game is convex. As a...