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Constrained Communication with Multiple Agents: Anonymity, Equal Treatment, and Public Good Provision

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Author Info
Kohei Kawamura

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Abstract

This paper studies information transmission subject to anonymity requirements and communication in public good provision without transfers. The structure of informative equilibria under anonymity or in public good provision can di¤er substantially from that of direct one-to-one communication, and in particular we distinguish i) informational distortion caused by the intrinsic divergence of preferences between the decision maker and each agent; and ii) informational distortion caused by the decision maker's weak response to each agent's message due to the equal treatment of all agents that results from anonymity or the nature of public goods. We examine the interaction between these two types of distortion and demonstrate that they may partly offset one another. Information transmission and welfare can be enhanced by introducing the second type of distortion through anonymity when the first type of distortion is severe. In public good provision where the intrinsic preference divergence between the utilitarian decision maker and each agent is absent, as the number of agents becomes larger the quality of communication diminishes and informative equilibria converge to the one that can be played by letting each agent report a binary message (e.g. "yes" or "no") even if their preferences and the decision are continuous.

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Paper provided by Edinburgh School of Economics, University of Edinburgh in its series ESE Discussion Papers with number 166.

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Length: 40
Date of creation: 13 Aug 2007
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Handle: RePEc:edn:esedps:166

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Related research
Keywords: Cheap Talk; Anonymous Communication; Equal Treatment; Public Good Provision.;

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Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

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  1. Wolinsky, Asher, 2002. "Eliciting information from multiple experts," Games and Economic Behavior, Elsevier, vol. 41(1), pages 141-160, October. [Downloadable!] (restricted)
  2. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July. [Downloadable!] (restricted)
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  3. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July. [Downloadable!] (restricted)
  4. Bester, Helmut & Strausz, Roland, 2000. "Imperfect commitment and the revelation principle: the multi-agent case," Economics Letters, Elsevier, vol. 69(2), pages 165-171, November. [Downloadable!] (restricted)
  5. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-85, November. [Downloadable!] (restricted)
  6. Stephen Morris, 2001. "Political Correctness," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 231-265, April. [Downloadable!] (restricted)
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  7. Baliga, Sandeep & Corchon, Luis C. & Sjostrom, Tomas, 1997. "The Theory of Implementation When the Planner Is a Player," Journal of Economic Theory, Elsevier, vol. 77(1), pages 15-33, November. [Downloadable!] (restricted)
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  8. Andreas Blume & Oliver Board & Kohei Kawamura, 2007. "Noisy Talk," ESE Discussion Papers 167, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
    Other versions:
    • Board, Oliver J. & Blume, Andreas & Kawamura, Kohei, 2007. "Noisy talk," Theoretical Economics, Society for Economic Theory, vol. 2(4), pages 395-440, December. [Downloadable!]
  9. Helmut Bester & Roland Strausz, . "Imperfect Commitment and the Revelation Principle," Papers 004, Departmental Working Papers. [Downloadable!]
  10. Marco Ottaviani & Peter Norman Sorensen, 2006. "Reputational Cheap Talk," RAND Journal of Economics, The RAND Corporation, vol. 37(1), pages 155-175, Spring.
  11. Bagnoli, Mark & Lipman, Barton L, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," Review of Economic Studies, Blackwell Publishing, vol. 56(4), pages 583-601, October. [Downloadable!] (restricted)
  12. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-58, March. [Downloadable!] (restricted)
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  13. Alonso, Ricardo & Dessein, Wouter & Matouschek, Niko, 2006. "When Does Coordination Require Centralization?," CEPR Discussion Papers 5802, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  14. Vijay Krishna & John Morgan, 2001. "A Model Of Expertise," The Quarterly Journal of Economics, MIT Press, vol. 116(2), pages 747-775, May. [Downloadable!] (restricted)
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  15. Kay Mitusch & Roland Strausz, 2005. "Mediation in Situations of Conflict and Limited Commitment," Journal of Law, Economics and Organization, Oxford University Press, vol. 21(2), pages 467-500, October. [Downloadable!] (restricted)
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  16. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-51, November. [Downloadable!] (restricted)
  17. Nahum D. Melumad & Toshiyuki Shibano, 1991. "Communication in Settings with No. Transfers," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 173-198, Summer. [Downloadable!] (restricted)
  18. Austen-Smith David, 1993. "Interested Experts and Policy Advice: Multiple Referrals under Open Rule," Games and Economic Behavior, Elsevier, vol. 5(1), pages 3-43, January. [Downloadable!] (restricted)
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