A New Campaign Resource Allocation Model
A model of campaign resource allocation in a two candidate race is developed under the assumption that the candidates wish to maximize their probability of winning the election. If the candidates have equal budgets it is locally optimal for them to allocate in proportion to the Banzhaf power index of each voter in the electorate. When this result is applied to the United States Electoral College, it is seen that the disparity in the power between voters in small and large states induces presidential candidates to spend a disproportionately large amount of their funds in the large states.
KeywordsAllo Univer Summing
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- Banzhaf, J.F.III: Weighted Voting Doesn’t Work: A Mathematical Analysis. Rutgers Law Review 19, 1965, 317–345.Google Scholar
- Banzhaf, J.F.III: One Man, 3.312 Votes: A Mathematical Analysis. Villanova Law Review 13, 1968, 304–332.Google Scholar
- Brams, S.J.: Game Theory and Politics. New York 1975.Google Scholar
- Brams, S.J.: Resource Allocations in the 1976 Campaign. American Political Science Review 72, 1978.Google Scholar
- Brams, S.J., and M. Lake: Power and Satisfaction in a Representative Democracy. Proceedings on the Conference of Game Theory and Political Science, Ed. by P.C. Ordeshook, New York 1978, 529–562.Google Scholar
- Lucas, W.F.: Measuring Power in Weighted Voting Systems. Case Studies in Applied Mathematics. 1976,42–106 1.Google Scholar
- Owen, G.: Multilinear Extensions and the Banzhaf Value. Naval Research Logistics Quarterly 22, 1975b, 741–750.Google Scholar
- Schram, M.: Running for President: A Journal of the Carter Campaign. New York 1978.Google Scholar
- Straffin, P.D. Jr.: Power Indices in Politics. MAA Module in Applied Mathematics, Cornell University, 1976a.Google Scholar
- Straffin, P.D. Jr.: Probability Models for Measuring Voting Power. Technical Report No. 320, School of Operations Research and Industrial Engineering, Cornell University, 1976b.Google Scholar
- Young, H.P.: The Allocation of Funds in Lobbying and Campaigning. Behavioral Science, 1978.Google Scholar