Comparison of Scoring Rules in Poisson Voting Games
AbstractScoring rules are compared by the equilibria that they generate for simple elections with three candidates and voters drawn from large Poisson distributions. A calculus for comparing pivot probabilities in Poisson voting games is applied. For a symmetric Condorcet cycle, nonsymmetric discriminatory equilibria exist under best-rewarding scoring rules like plurality voting. A candidate who is universally disliked may still not be out of contention under worst-punishing scoring rules like negative-plurality voting. In elections where two of three candidates have the same position, symmetric equilibria coincide with majority rule only for scoring rules that are balanced between best-rewarding and worst-punishing. When voters also care about continuous functions of vote shares, equilibria may still depend on pivot probabilities.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 103 (2002)
Issue (Month): 1 (March)
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Web page: http://www.elsevier.com/locate/inca/622869
Other versions of this item:
- Roger B. Myerson, 2000. "Comparison of Scoring Rules in Poisson Voting Games," Econometric Society World Congress 2000 Contributed Papers 0686, Econometric Society.
- Roger B. Myerson, 1998. "Comparison of Scoring Rules in Poisson Voting Games," Discussion Papers 1214, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Roger B. Myerson, 1994.
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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.
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- Roger B. Myerson, 1992. "Incentives to Cultivate Favored Minorities under Alternative Electoral Systems," Discussion Papers 1000, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Piketty, Thomas, 2000. "Voting as Communicating," Review of Economic Studies, Wiley Blackwell, vol. 67(1), pages 169-91, January.
- Roger B. Myerson, 1997.
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1189, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Roger B. Myerson, 1994.
"Population Uncertainty and Poisson Games,"
1102R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
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