How to win a large election
Michael Mandler
Games and Economic Behavior, 2013, vol. 78, issue C, 44-63
Abstract:
We consider the optimization problem of a campaign trying to win an election when facing aggregate uncertainty, where agentsʼ voting probabilities are uncertain. Even a small amount of uncertainty will in a large electorate eliminate many of counterintuitive results that arise when voting probabilities are known. In particular, a campaign that can affect the voting probabilities of a fraction of the electorate should maximize the expected difference between its candidateʼs and the opposing candidateʼs share of the fractionʼs potential vote. When a campaign can target only finitely many voters, maximization of the same objective function remains optimal if a convergence condition is satisfied. When voting probabilities are certain, this convergence condition obtains only at knife-edge combinations of parameters, but when voting probabilities are uncertain the condition is necessarily satisfied.
Keywords: Elections; Expected margin of victory; Law of large numbers; Local limit theorem (search for similar items in EconPapers)
JEL-codes: D72 D81 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:78:y:2013:i:c:p:44-63
DOI: 10.1016/j.geb.2012.09.005
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