A local public goods game in weighted and directed networks is analyzed. Individual efforts are imperfect substitutes, players' preferences are heterogeneous and local externalities are non-uniform and asymmetric. Sufficient conditions under which the game admits a unique equilibrium are...

A directed network game of imperfect strategic substitutes with heterogeneous players is analyzed. We consider concave additive separable utility functions that encompass the quasi-linear ones. It is found that pure strategy Nash equilibria verify a non-linear complementarity problem. By...

This paper investigates the social optimum in network games of strategic substitutes and identifies how network structure shapes optimal policies. First, we show that the socially optimal profile is ob-tained through a combination of two opposite network effects, generated by the incoming and...

We model agents in a network game of strategic complements and negative externalities. Sufficient conditions for the existence of a unique Nash equilibrium and of a unique social optimum are established. Under these conditions, we find that players with more vulnerable locations in the network...

This paper studies the problem of non-cooperative water allocation between heterogeneous communities embodied in an acyclic network of water sources. The extraction activity of a community has a negative impact on the extraction activity of its direct successors: it reduces the intensity of...

In classical measure theory, the Radon-Nikodym theorem states in a concise condition, namely domination, how a measure can be factorized by another (bounded) measure through a density function. Several approaches have been undertaken to see under which conditions an exact factorization can be...

We consider a decision maker facing uncertainty which behaves as a subjective expected utility maximizer. The value of information is traditionnaly captured as a greater expected utility the decision maker can achieve by selecting a best strategy as information arrives. We deal with the limit...

Our aim is to provide some convergence theorems for the Choquet integral with respect to various notions of convergence. For instance, the dominated convergence theorem for almost uniform convergence is related to autocontinuous set functions. Autocontinuity can also be related to convergence in...