Corporate social responsibility and network externalities: a game-theoretic approach
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Abstract
This research revisits the pioneering work by Katz and Shapiro (Am Econom Rev
75:424–440, 1985) with network (consumption) externalities in a twofold way: first, it con siders Corporate Socially Responsible (CSR), instead of profit-maximising, firms; second,
it uses a game-theoretic approach and analyses the commitment decision game in which
firms face the binary choice to credibly commit (C) or not to commit (NC) themselves to an
announced output level in the first decision-making stage. Competition at the market stage
occurs à la Cournot. Results show a rich spectrum of sub-game perfect Nash equilibrium
(SPNE) outcomes, ranging from the prisoner’s dilemma (self-interest and mutual benefit of
output commitment conflict) to the anti-prisoner’s dilemma or deadlock (self-interest and
mutual benefit of output commitment do not conflict), passing from the coordination to the
anti-coordination game. These outcomes depend on the intensity of the social concern in
the firm’s objective and the network size. The article also pinpoints the welfare outcomes
corresponding to the SPNE and extends the analysis to a Stackelberg rivalry setting.
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Annals of Operations Research. 2023.