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In this paper, we study networks of positive linear systems subject to time-invariant and random uncertainties. We present linear matrix inequalities for checking the stability of the whole network of the systems around the origin with a prescribed probability and a decay rate. Based on this condition, we then give an efficient method, based on geometric programming, to find the optimal parameters...
This paper studies n-person simultaneous-move games with linear best response function, where individuals interact within a given network structure. This class of games have been used to model various settings, such as, public goods, belief formation, peer effects, and oligopoly. The purpose of this paper is to study the effect of the network structure on Nash equilibrium outcomes of this class of...
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