FEEM working papers "Note di lavoro" series
2013 .047

Information Sharing Networks in Linear Quadratic Games


Authors: Sergio Currarini, Francesco Feri
Series: Climate Change and Sustainable Development
Editor: Carlo Carraro
Type: J
Keywords: Information Sharing, Networks, Bayesian Equilibrium, Beauty Contest, Oligopoly
JEL n.: D43, D82, D85, L13
JEL: International Journal of Game Theory
Pages: Pages 1 - 32
Date: 10/2014

Abstract

We study the bilateral exchange of information in the context of linear quadratic games. An information structure is here represented by a non directed network, whose nodes are agents and whose links represent sharing agreements. We first study the equilibrium use of information in any given sharing network, finding that the extent to which a piece of information is "public" affects the equilibrium use of it, in line with previous results in the literature. We then study the incentives to share information ex-ante, highlighting the role of the elasticity of payoffs to the equilibrium volatility of one's own strategy and of one's opponents' strategies. For the case of uncorrelated signals we fully characterize pairwise stable networks for the general linear quadratic game. For the case of correlated signals, we study pair-wise stable networks for three specific linear quadratic games - Cournot oligopoly, Keynes’ beauty contest and Public good provision - in which strategies are substitute, complement and orthogonal, respectively. We show that signals’ correlation favors the transmission of information, but may also prevent all information from being transmitted.

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