Characterization of Nash equilibria in Cournotian oligopolies with interdependent preferences

We study the effects on the Nash equilibrium of the presence of a structure of social interdependent preferences in a Cournot oligopoly, described in terms of a game in which the network of interactions reflects on the utility functions of firms through a combination of weighted profits of their competitors as in [7]. Taking into account the channels of social and market interactions, we detail the consequence of preference interdependence on the best response of a firm, focusing on both direct and high degree of interdependence effects between two given firms. We characterize the Nash equilibrium in terms of social and market interactions among firms, through a Bonacich-like centrality measure and a scalar index describing the degree of competitiveness that characterizes an oligopoly with interdependent preferences. Finally, we study the equilibrium of some scenarios described by regular structures of interaction.