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A Mixed Integer Linear Program for Election Campaign Optimization Under D’Hondt Rule

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Operations Research Proceedings 2017

Part of the book series: Operations Research Proceedings ((ORP))

Abstract

Election campaign optimization problem (ECOP) can be described as finding the best way to allocate a political party’s resources among different election locations in order to maximize the seats or member of parliaments (MPs) won. For this purpose, first one has to determine the minimum amount of votes needed to pass the opponent to win extra seats. The analysis are carried out on one of the most popular election rules: D’Hondt rule and mathematical formulae are derived to exactly determine the required vote amounts. Next, a mixed integer linear program to capture the problem is proposed. Finally, the methodology is tested on the Turkish Parliamentary elections data and it is observed that with small amount of budget shifts among election regions significant gains can be obtained.

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References

  1. Belenky, A. (2008). A 0–1 knapsack model for evaluating the possible electoral college performance in two-party us presidential elections. Mathematical and Computer Modelling, 48, 665–676.

    Article  Google Scholar 

  2. Benoit, K., & Marsh, M. (2010). Incumbent and challenger campaign spending effects in proportional electoral systems:the irish elections of 2002. Political Research Quarterly, 63(1), 159–173.

    Article  Google Scholar 

  3. di Cortona, P., CManzi Pennisi, A., Ricca, F. & Simeone, B. (1999). Evaluation and Optimization of Electoral Systems. Philadelphia, USA: SIAM - Society for Industrial and Applied Mathematics.

    Google Scholar 

  4. Fisher, J. (1999). Party expenditure and electoral prospects: a national level analysis of britain. Electoral Studies, 18, 519–532.

    Article  Google Scholar 

  5. Fleck, R. (1999). The value of the vote: A model and test of the effects of turnout on distributive policy. Economic Inquiry, 37(4), 609–623.

    Article  Google Scholar 

  6. Guney, E. (2017). Efficient election campaign optimization using integer programming. In Proceedings of 11th International Conference on Industrial Engineering and Industrial Management, Valencia, SPAIN. https://goo.gl/RqnuMC.

  7. ILOG-CPLEX. (2013). Cplex 12.6 User’s Manual. ILOG.

    Google Scholar 

  8. Jacobson, G. (1978). The effects of campaign spending in congressional elections. The American Political Science Review, 72(2), 469–491.

    Article  Google Scholar 

  9. Mueller, D. (2003). Public Choice III. UK: Cambridge University Press.

    Book  Google Scholar 

  10. Ostapenko, V., Ostapenko, O., Belyaeva, E., & Stupnitskaya, Y. (2012). Mathematical models of the battle between parties for electorate or between companies for markets. Cybernetics and Systems Analysis, 48(6), 814–822.

    Article  Google Scholar 

  11. Steenburg, E. (2015). Areas of research in political advertising: A review and research agenda. International Journal of Advertising, 34(2), 195–231.

    Article  Google Scholar 

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Correspondence to Evren Güney .

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Güney, E. (2018). A Mixed Integer Linear Program for Election Campaign Optimization Under D’Hondt Rule. In: Kliewer, N., Ehmke, J., Borndörfer, R. (eds) Operations Research Proceedings 2017. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-89920-6_11

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