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 probabilites.
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number
1214.
Length: Date of creation: Jul 1998 Date of revision: Handle: RePEc:nwu:cmsems:1214
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References listed on IDEAS 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 & Robert J. Weber, 1988.
"A Theory of Voting Equilibria,"
Discussion Papers
782, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
[Downloadable!]
Roger B. Myerson, 1997.
"Large Poisson Games,"
Discussion Papers
1189, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
[Downloadable!]
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