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Electoral Mathematics and Asymmetrical Treatment to Political Parties: The Mexican Case
The Mexican Chamber of Deputies is composed of 500 representatives: 300 of them elected by relative majority and another 200 ones elected through proportional representation in five electoral clusters (constituencies) with 40 representatives each. In this mixed-member electoral system, the seats distribution of proportional representation is not independent of the election by relative majority, as it attempts to correct representation imbalances produced in single-member districts. This two-fold structure has been maintained in the successive electoral reforms carried out along the last three decades (eight from 1986 to 2014). In all of them, the election process of 200 seats becomes complex: Formulas in the Law are difficult to understand and to be interpreted. This paper analyzes the Mexican electoral system after the electoral reform of 2014, which was applied for the first time in 2015. The research focuses on contradictions and issues of applicability, in particular situations where seats allocation is affected by ambiguity in the law and where asymmetrical treatment of political parties arises. Due to these facts, a proposal of electoral reform will be presented. It is intended to be simpler, clearer, and more enduring than the current system. Furthermore, this model is more suitable for producing electoral outcomes free of contradictions and paradoxes. This approach would allow a fair treatment of political parties and as a result an improved opportunity to exercise democracy.
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[1] Federal Law of Politics Organizations and Electoral Process 1977 (Ley Federal de Organizaciones Políticas y Procesos Electorales 1977). Available at:, accessed Dec/14/2016.
[2] Electoral Federal Code 1986-1986 (Código Federal Electoral 1986-1987) Available at:, accessed Dec/14/2016.
[3] Federal Code of Institutions and Electoral Process 1990 (Código Federal de Instituciones y Procedimientos Electorales 1990). Available at:, accessed Dec/14/2016
[4] Federal Code of Institutions and Electoral Process 1994 (Código Federal de Instituciones y Procedimientos Electorales 1994). Available at:, accessed Dec/14/2016
[5] Federal Code of Institutions and Electoral Process 1996 (Código Federal de Instituciones y Procedimientos Electorales 1996). Available at, accessed Dec/14/2016
[6] Federal Code of Institutions and Electoral Process 2008 (Código Federal de Instituciones y Procedimientos Electorales 2008) Available at:, accessed Dec/14/2016
[7] General Law of Institutions and Electoral Process 2014 (Ley General de Instituciones y Procedimientos Electorales 2014) Available in English at:, accessed Dec/14/2016
[8] M. Balinski, V. Ramírez, (1996): “A case study of electoral manipulation: The Mexican laws of 1989 and 1994”, Electoral Studies, vol. 15, 1996, pp. 203-217.
[9] M. Balinski, V. Ramírez, “Mexican electoral law: 1996 version”, Electoral Studies, vol. 16, 1997, pp. 329-340.
[10] M. Balinski, V. Ramírez, “Mexico’s 1997 apportionment defies its electoral law”, Electoral Studies, vol. 18, 1999, pp. 117-147.
[11] M.S. Shugart and M.P. Wattenberg. “Mixed-Member Electoral System the Best of Two Worlds?” Oxford University Press, New York, 2001, pp. 209-230.
[12] M.S. García, “Las reformas electorales a nivel federal en México”, El Cotidiano, vol. 166, 2011, pp. 79-91.
[13] M. L. Balinski, H. P. Young, “Fair Representation: Meeting the Ideal of One Man, One Vote”, New Haven: Yale University Press, 1982.
[14] M. Balinski, F. Pukelsheim, “Matrices and politics”, Festschrift for Tarmo Pukkila on his 60th Birthday, Eds. E.P. Liski, J. Isotalo, J. Niemelä, S. Puntanen, and G.P.H. Styan, University of Tampere, Finland, 2006, 233–242.
[15] V. Ramírez, A. Palomares, A. López, M.A. Fortes, P. González, C.M. Ramirez, J. A. Martínez, M.L. Márquez, M. Pasadas, B.L. Delgado, “Sistema electoral para el Congreso de los Diputados, propuesta para un Parlamento más ecuánime, representativo y gobernable”, Editorial Universidad de Granada, 2013.
[16] F. Pukelsheim and team: BAZI software. Available at:, accessed Dec/14/2016
[17] Data Bases of Mexican Elections Available at web site of Electoral National Institute: accessed Dec/14/2016
[18] Agreement of the general council of the national electoral institute of validity of the election of deputies for the principle of proportional representation for the period 2015-2018. (acuerdo del consejo general del instituto nacional electoral por el que se efectúa el cómputo total, se declara la validez de la elección de diputados por el principio de representación proporcional y se asignan a los partidos políticos nacionales acción nacional, revolucionario institucional, de la revolución democrática, verde ecologista de méxico, movimiento ciudadano, nueva alianza, morena y encuentro social, los diputados que les corresponden para el periodo 2015-2018) Available at: accessed Dec/14/2016
[19] V. Dančišin, “Negative vote weight and the No-Show paradox in party-list proportional system. Available at /7312330, accessed Dec/14/2016
[20] J. Pérez, “The Strong No Show Paradoxes are a Common Flaw in Condorcet Voting Correspondences” Social Choice and Welfare, Vol. 18, No. 3, 2001, pp. 601- 616.
[21] P. Zachariassen, M. Zachariasen. “A Comparison of Electoral Formula for the Faroese Parliament” in B. Simeone and F. Pukelsheim (eds.): Mathematics and Democracy Recent Advances in Voting Systems and Collective Choice,” Springer, New York, 2006, pp. 235-251.
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