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Deliberations with Double-Sided Information

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  • Ulrich Doraszelski
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    Abstract

    Two players need to agree to adopt a certain option, otherwise the status quo is maintained. The correct choice depends of an unknown state variable. While both players would like the correct choice to be made, their relative concern with the two types of mistakes may differ and is private information. Each player observes a private signal that is correlated with the state variable. Before reaching the final decision through simultaneous vote, players communicate by expressing a personal non-binding option. We provide a succinct characterization of the equilibria. Although truthful communication may take place in equilibrium, the players' private information about the state of the world is not fully revealed. In fact, the sole role of communication is to provide a means for each player to decide how to vote when her private signal conflicts with her relative concern. Our calculations show that communication increases ex-ante utility. When only one player may speak, we show that their ex-ante utility is independent on who is selected as a speaker even if the quality of information radically differs among players.

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    Bibliographic Info

    Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1276R.

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    Date of creation: Sep 1999
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    Handle: RePEc:nwu:cmsems:1276

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    1. Dekel, E. & Piccione, M., 1999. "Sequential Voting Procedures in Symmetric Binary Elections," Papers 3-99, Tel Aviv.
    2. John Duggan & Cesar Martinelli, 1999. "A Bayesian Model of Voting in Juries," Working Papers 9904, Centro de Investigacion Economica, ITAM.
    3. Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
    4. Vijay Krishna & John Morgan, 1999. "A Model of Expertise," Working Papers 154, Princeton University, Woodrow Wilson School of Public and International Affairs, Discussion Papers in Economics..
    5. Matthews, Steven A, 1989. "Veto Threats: Rhetoric in a Bargaining Game," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 347-69, May.
    6. V. Crawford & J. Sobel, 2010. "Strategic Information Transmission," Levine's Working Paper Archive 544, David K. Levine.
    7. Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-43, November.
    8. Campbell, Colin M., 1998. "Coordination in Auctions with Entry," Journal of Economic Theory, Elsevier, vol. 82(2), pages 425-450, October.
    9. Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Center for the Study of Rationality, Hebrew University, Jerusalem, revised Nov 2002.
    10. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    11. Hao Li & Wing Suen, 2004. "Delegating Decisions to Experts," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages S311-S335, February.
    12. Palfrey, Thomas R. & Rosenthal, Howard, 1991. "Testing for effects of cheap talk in a public goods game with private information," Games and Economic Behavior, Elsevier, vol. 3(2), pages 183-220, May.
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