Criminals are embedded in a network of relationships. Social ties among criminals are modelled by means of a graph where criminals compete for a bounty and benefit from local interactions with their neighbours. Each criminal decides in a non-cooperative way how much crime effort they will exert....

Finite population non-cooperative games with linear-quadratic utilities, where each player decides how much action she exerts, can be interpreted as a network game with local payoff complementarities, together with a globally uniform payoff substitutability component and an own concavity effect....

We develop a model in which delinquents compete with each other in criminal activities but may benefit from being friends with other criminals (by learning and acquiring proper know-how in the crime business). We first study the Nash equilibrium of this game by taking the social network...