Stochastic equilibria on graphs,I

Abstract We study stochastic equilibrium models taking into account the structure of interactions among agents. The basic model analyzed in this paper represents a generalization of that proposed by Polterovich. We generalize Polterovich's model, in particular, in two respects. We introduce uncertainty and describe the structure of interactions among agents in terms of a directed graph. We show that the model under consideration can be examined by the techniques developed in our previous paper (Part I). By using this, we obtain an existence theorem for equilibrium. Also we investigate the sensitivity of equilibrium prices with respect to changes in agents' characteristics.

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