A Bayesian Model of Voting in Juries
We take a game-theoretic approach to the analysis of juries by modelling voting as a game of incomplete information. Rather than the usual assumption of two possible signals (one indicating guilt, the other innocence), we allow jurors to perceive a full spectrum of signals. Given any voting rule requiring a fixed fraction of votes to convict, we characterize the unique symmetric equilibrium of the game, and we consider the possibility of asymmetric equilibria: we give a condition under which no asymmetric equilibria exist and show that, without under which no asymmetric equilibria exist and show that, without it, asymmetric equilibria may exist. We offer a condition under which unanimity rule exhibits a bias toward convicting the innocent, regardless of the size of the jury, and we exhibit an example showing this bias can be reversed. And we prove a "jury theorem" for our general model: as the size of the jury increases, the probability of a mistaken judgment goes to zero for every voting rule, except unanimity rule; for unanimity rule, we give a condition under which the probability of a mistake is bounded strictly above zero, and we show that, without this condition, the probability of a mistake may go to zero.
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References listed on IDEAS
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- Roger B. Myerson, 1994.
"Extended Poisson Games and the Condorcet Jury Theorem,"
1103, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
- John Duggan & Cesar Martinelli, 1998.
"A Bayesian Model of Voting in Juries,"
Wallis Working Papers
WP14, University of Rochester - Wallis Institute of Political Economy.
- Wit, Jorgen, 1998. "Rational Choice and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 22(2), pages 364-376, February.
- Hao Li & Sherwin Rosen & Wing Suen, 1999.
"Conflicts and Common Interests in Committees,"
NBER Working Papers
7158, National Bureau of Economic Research, Inc.
- Hao Li & Sherwin Rosen & Wing Suen, 2000. "Conflicts and Common Interests in Committees," Econometric Society World Congress 2000 Contributed Papers 0341, Econometric Society.
- Feddersen, Timothy J & Pesendorfer, Wolfgang, 1996.
"The Swing Voter's Curse,"
American Economic Review,
American Economic Association, vol. 86(3), pages 408-24, June.
- Timothy Feddersen & Wolfgang Pesendorfer, 1994.
"Voting Behavior and Information Aggregation in Elections with Private Information,"
1117, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections With Private Information," Levine's Working Paper Archive 1560, David K. Levine.
- Timothy Feddersen & Wolfgang Pesendorfer, 1996. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts," Discussion Papers 1170, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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