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Information Sharing Networks in Linear Quadratic Games

  • 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)

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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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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  1. Gal-Or, Esther, 1985. "Information Sharing in Oligopoly," Econometrica, Econometric Society, vol. 53(2), pages 329-43, March.
  2. 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.
  3. Gal-Or, Esther, 1986. "Information Transmission-Cournot and Bertrand Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 85-92, January.
  4. 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.
  5. Coralio Ballester & Antoni Calvo-Armengol & Yves Zenou, 2005. "Who's Who in Networks. Wanted: the Key Player," NajEcon Working Paper Reviews 666156000000000586, www.najecon.org.
  6. Alison J. Kirby, 1988. "Trade Associations as Information Exchange Mechanisms," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 138-146, Spring.
  7. David Malueg & Shunichi Tsutsui, 1996. "Coalition-proof information exchanges," Journal of Economics, Springer, vol. 63(3), pages 259-278, October.
  8. Jeanne Hagenbach & Frédéric Koessler, 2009. "Strategic communication networks," Documents de travail du Centre d'Economie de la Sorbonne 09005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  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. Novshek, William & Thoman, Lynda, 1998. "Information disaggregation and incentives for non-collusive information sharing," Economics Letters, Elsevier, vol. 61(3), pages 327-332, December.
  11. Andrea Galeotti & Christian Ghiglino & Francesco Squintani, 2009. "Strategic Information Transmission in Networks," Economics Discussion Papers 668, University of Essex, Department of Economics.
  12. Raith, Michael, 1996. "A General Model of Information Sharing in Oligopoly," Journal of Economic Theory, Elsevier, vol. 71(1), pages 260-288, October.
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