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Comparison of Scoring Rules in Poisson Voting Games

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  • Myerson, Roger B.

Abstract

Scoring 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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  • Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
    • Handle: RePEc:eee:jetheo:v:103:y:2002:i:1:p:219-251
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    1. 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.
    2. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
    3. Roger B. Myerson & Robert J. Weber, 1988. "A Theory of Voting Equilibria," Discussion Papers 782, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Roger B. Myerson, 1998. "Population uncertainty and Poisson games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(3), pages 375-392.
    5. repec:cup:apsrev:v:87:y:1993:i:04:p:856-869_10 is not listed on IDEAS
    6. Myerson, Roger B., 2000. "Large Poisson Games," Journal of Economic Theory, Elsevier, vol. 94(1), pages 7-45, September.
    7. Myerson Roger B., 1993. "Effectiveness of Electoral Systems for Reducing Government Corruption: A Game-Theoretic Analysis," Games and Economic Behavior, Elsevier, vol. 5(1), pages 118-132, January.
    8. 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.
    9. Thomas Piketty, 2000. "Voting as Communicating," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 169-191.
    10. repec:cup:apsrev:v:87:y:1993:i:01:p:102-114_09 is not listed on IDEAS
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