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Information Sharing Networks in Linear Quadratic Games

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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.

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Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2013.47.

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Date of creation: May 2013
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Handle: RePEc:fem:femwpa:2013.47

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Keywords: Information Sharing; Networks; Bayesian Equilibrium; Beauty Contest; Oligopoly;

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  1. Raith, Michael, 1996. "A General Model of Information Sharing in Oligopoly," Journal of Economic Theory, Elsevier, vol. 71(1), pages 260-288, October.
  2. Jeanne Hagenbach & Frédéric Koessler, 2010. "Strategic Communication Networks," Review of Economic Studies, Oxford University Press, vol. 77(3), pages 1072-1099.
  3. Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2005. "Who’s Who in Networks. Wanted: The Key Player," CEPR Discussion Papers 5329, C.E.P.R. Discussion Papers.
  4. Dasgupta, Sudipto & Shin, Jhinyoung, 1999. "Information sharing, information free-riding and capital structure in oligopolies," International Journal of Industrial Organization, Elsevier, vol. 17(1), pages 109-135, January.
  5. Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. David Malueg & Shunichi Tsutsui, 1996. "Coalition-proof information exchanges," Journal of Economics, Springer, vol. 63(3), pages 259-278, October.
  7. Andrea Galeotti & Christian Ghiglino & Francesco Squintani, 2009. "Strategic Information Transmission in Networks," Economics Discussion Papers 668, University of Essex, Department of Economics.
  8. Novshek, William & Thoman, Lynda, 1998. "Information disaggregation and incentives for non-collusive information sharing," Economics Letters, Elsevier, vol. 61(3), pages 327-332, December.
  9. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
  10. Gal-Or, Esther, 1985. "Information Sharing in Oligopoly," Econometrica, Econometric Society, vol. 53(2), pages 329-43, March.
  11. Gal-Or, Esther, 1986. "Information Transmission-Cournot and Bertrand Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 85-92, January.
  12. Alison J. Kirby, 1988. "Trade Associations as Information Exchange Mechanisms," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 138-146, Spring.
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Cited by:
  1. Sergio Currarini & Marco A. Marini, 2013. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," DIAG Technical Reports 2013-15, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".

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