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Rational Exaggeration in Information Aggregation Games

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  • Rausser, Gordon C.
  • Simon, Leo K.
  • Zhao, Jinhua

Abstract

This paper studies a class of information aggregation models which we call “aggregation games.†It departs from the related literature in two main respects: information is aggregated by averaging rather than majority rule, and each player selects from a continuum of reports rather than making a binary choice. Each member of a group receives a private signal, then submits a report to the center, who makes a decision based on the average of these reports. The essence of an aggregation game is that heterogeneous players engage in a “tug-of-war,†as they attempt to manipulate the center’s decision process by mis-reporting their private information. When players have distinct biases, almost of them rationally exaggerate the extent of these biases. The degree of exaggeration increases with the number of players: if the game is sufficiently large, then almost all players exaggerate to the maximum admissible extent, regardless of their individual signals. In the limit, the connection between players’ private information and the outcome of the game is obliterated.

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Bibliographic Info

Paper provided by Department of Agricultural & Resource Economics, UC Berkeley in its series Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series with number qt9nc4n5s6.

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Date of creation: 02 Oct 2008
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Handle: RePEc:cdl:agrebk:qt9nc4n5s6

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Related research

Keywords: information aggregation; majority rule; proportional representation; mean versus median mechanism; strategic communication; incomplete information games; strategic information transmission; Social and Behavioral Sciences;

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  1. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-89, July.
  2. Vijay Krishna & John Morgan, 2001. "A Model Of Expertise," The Quarterly Journal of Economics, MIT Press, vol. 116(2), pages 747-775, May.
  3. John Morgan & Phillip C. Stocken, 2008. "Information Aggregation in Polls," American Economic Review, American Economic Association, vol. 98(3), pages 864-96, June.
  4. Timothy Feddersen & Wolfgang Pesendorfer, 1994. "Voting Behavior and Information Aggregation in Elections with Private Information," Discussion Papers 1117, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  6. Kiel, Alexandra & Gerling, Kerstin & Schulte, Elisabeth & Grüner, Hans Peter, 2003. "Information acquisition and decision making in committees: a survey," Working Paper Series 0256, European Central Bank.
  7. Piketty, Thomas, 1999. "The information-aggregation approach to political institutions," European Economic Review, Elsevier, vol. 43(4-6), pages 791-800, April.
  8. Gruner, Hans Peter & Kiel, Alexandra, 2004. "Collective decisions with interdependent valuations," European Economic Review, Elsevier, vol. 48(5), pages 1147-1168, October.
  9. Ronny Razin, 2003. "Signaling and Election Motivations in a Voting Model with Common Values and Responsive Candidates," Econometrica, Econometric Society, vol. 71(4), pages 1083-1119, 07.
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