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By Georgiev P., Pardalos P., Theis F.

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Even if these effects are difficult to prove in practice due to the interaction of other factors, there are many indications that the different majority formulas have influences similar to those that Duverger (1951) observed in his seminal sociological laws with regard to parliamentary elections, and second, that there is a certain trade off between legitimacy and governability and that the decision between plurality and majority is in some way identical to the one between this or the other function.

Nevertheless, in comparison with other areas there is no doubt that the highest legal standards have been achieved in the field of electoral politics. Recently, the notion of free and fair elections was expanded to include the idea of fair competition between the contenders, especially with regard to the financing of electoral campaigns and access to the media (see Zovatto 2003). e. money is supplied by both public and private sources. It is worthwhile noticing that both have been regulated by law.

PR systems other than pure PR and PR in MMCs of different magnitude began to be introduced from the 1980s: Bolivia and Venezuela started to use personalized proportional systems; Chile opted for a new kind of electoral system, the binominal system; Mexico, as just mentioned, changed to a segmented system and Ecuador returned to a majority system. There are seven types of electoral systems for election to the lower house or the unicameral parliaments in Latin America: (1) Plurality system in MMCs.

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A bilinear algorithm for sparse representations by Georgiev P., Pardalos P., Theis F.

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