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Majority rule when voters like to win

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  • Callander, Steven

Abstract

I analyze symmetric majority rule voting equilibria when voters wish to elect the better candidate and to vote for the winner. When voters care only about the winning candidate (the standard formulation) a unique responsive equilibrium exists. The addition of a desire to win creates multiple equilibria, some with unusual properties. In most of these equilibria information is not aggregated effectively, and I uncover the novel possibility of negative information aggregation in which information aggregated in equilibrium is used to select the worse rather than the better candidate. I then characterize the efficiency of optimal equilibria as the population becomes large and show that a discontinuity arises in the information aggregation capabilities of the majority rule voting mechanism: in elections without a dominant front-running candidate the better candidate is almost surely elected, whereas in races with a front-runner information cannot be effectively aggregated in equilibrium.

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  • Callander, Steven, 2008. "Majority rule when voters like to win," Games and Economic Behavior, Elsevier, vol. 64(2), pages 393-420, November.
  • Handle: RePEc:eee:gamebe:v:64:y:2008:i:2:p:393-420
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    1. Bartels, Larry M., 1985. "Expectations and Preferences in Presidential Nominating Campaigns," American Political Science Review, Cambridge University Press, vol. 79(3), pages 804-815, September.
    2. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
    3. Glazer, Jacob & Rubinstein, Ariel, 1998. "Motives and Implementation: On the Design of Mechanisms to Elicit Opinions," Journal of Economic Theory, Elsevier, vol. 79(2), pages 157-173, April.
    4. Feddersen, Timothy & Pesendorfer, Wolfgang, 1998. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts under Strategic Voting," American Political Science Review, Cambridge University Press, vol. 92(1), pages 23-35, March.
    5. Steven Callander, 2007. "Bandwagons and Momentum in Sequential Voting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 653-684.
    6. Thomas Piketty, 2000. "Voting as Communicating," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 169-191.
    7. Adam Meirowitz & Alan E. Wiseman, 2005. "Contributions And Elections With Network Externalities," Economics and Politics, Wiley Blackwell, vol. 17, pages 77-110, March.
    8. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    9. Thomas Palfrey & Howard Rosenthal, 1983. "A strategic calculus of voting," Public Choice, Springer, vol. 41(1), pages 7-53, January.
    10. Melvin Hinich, 1981. "Voting as an act of contribution," Public Choice, Springer, vol. 36(1), pages 135-140, January.
    11. Callander, Steven & Hörner, Johannes, 2009. "The wisdom of the minority," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1421-1439.2, July.
    12. Austen-Smith, David & Banks, Jeffrey S., 1996. "Information Aggregation, Rationality, and the Condorcet Jury Theorem," American Political Science Review, Cambridge University Press, vol. 90(1), pages 34-45, March.
    13. Adam Meirowitz & Alan E. Wiseman, 2005. "Contributions And Elections With Network Externalities," Economics and Politics, Wiley Blackwell, vol. 17(1), pages 77-110, March.
    14. McLennan, Andrew, 1998. "Consequences of the Condorcet Jury Theorem for Beneficial Information Aggregation by Rational Agents," American Political Science Review, Cambridge University Press, vol. 92(2), pages 413-418, June.
    15. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
    16. 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, July.
    17. Kenneth Shotts, 2006. "A Signaling Model of Repeated Elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 251-261, October.
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