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Information Sharing Networks in Linear Quadratic Games

Author

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  • Sergio Currarini

    (University of Leicester, Universita' di Venezia, Euro-Mediterranean Center on Climate Change, CIP Division and FEEM)

  • Francesco Feri

    (Royal Holloway, University of London)

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.

Suggested Citation

  • Sergio Currarini & Francesco Feri, 2013. "Information Sharing Networks in Linear Quadratic Games," Working Papers 2013.47, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2013.47
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    Cited by:

    1. Myatt, David P. & Wallace, Chris, 2019. "Information acquisition and use by networked players," Journal of Economic Theory, Elsevier, vol. 182(C), pages 360-401.
    2. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    3. Ushchev, Philip & Zenou, Yves, 2018. "Price competition in product variety networks," Games and Economic Behavior, Elsevier, vol. 110(C), pages 226-247.
    4. Sergio Currarini & Francesco Feri & Bjoern Hartig & Miguel A. Meléndez-Jiménez, 2020. "To Share or Not to Share: An Experiment on Information Transmission in Networks," Working Papers 2020-06, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    5. Ying‐Ju Chen & Yves Zenou & Junjie Zhou, 2018. "Competitive pricing strategies in social networks," RAND Journal of Economics, RAND Corporation, vol. 49(3), pages 672-705, September.
    6. Ushchev, Philip & Zenou, Yves, 2018. "Price competition in product variety networks," Games and Economic Behavior, Elsevier, vol. 110(C), pages 226-247.
    7. Jihad C. Elnaboulsi & Wassim Daher & Yigit Saglam, 2020. "Environmental Taxation, Information Precision, and Information Sharing," Working Papers 2020-04, CRESE.

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    More about this item

    Keywords

    Information Sharing; Networks; Bayesian Equilibrium; Beauty Contest; Oligopoly;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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