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Optimal voting schemes with costly information acquisition

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Author Info
Gershkov, Alex
Szentes, Balázs

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Abstract

A group of individuals with identical preferences must make a decision under uncertainty about which decision is best. Before the decision is made, each agent can privately acquire a costly and imperfect signal. We discuss how to design a mechanism for eliciting and aggregating the collected information so as to maximize ex-ante social welfare. We first show that, of all mechanisms, a sequential one is optimal and works as follows. At random, one agent at a time is selected to acquire information and report the resulting signal. Agents are informed of neither their position in the sequence nor of other reports. Acquiring information when called upon and reporting truthfully is an equilibrium. We next characterize the ex-ante optimal scheme among all ex-post efficient mechanisms. In this mechanism, a decision is made when the precision of the posterior exceeds a cut-off that decreases with each additional report. The restriction to ex-post efficiency is shown to be without loss when the available signals are sufficiently imprecise. On the other hand, ex-post efficient mechanisms are shown to be suboptimal when the cost of information acquisition is sufficiently small.

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Publisher Info
Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 144 (2009)
Issue (Month): 1 (January)
Pages: 36-68
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Handle: RePEc:eee:jetheo:v:144:y:2009:i:1:p:36-68

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Web page: http://www.elsevier.com/locate/inca/622869

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Related research
Keywords: Information aggregation Voting;

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  1. Cremer, Jaques & Spiegel, Yossi & Zheng, Charles, 2006. "Optimal Search Auctions," Staff General Research Papers 12662, Iowa State University, Department of Economics.
  2. Caillaud, Bernard & Tirole, Jean, 2007. "Consensus Building: How to Persuade a Group," IDEI Working Papers 435, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
    Other versions:
  3. Susan Athey & Ilya Segal, 2007. "An Efficient Dynamic Mechanism," Levine's Bibliography 122247000000001134, UCLA Department of Economics. [Downloadable!]
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