The Italian Bug: A Flawed Procedure for Bi-Proportional Seat Allocation

Pennisi, Aline

doi:10.1007/3-540-35605-3_11

Cited by 11 publications

(10 citation statements)

References 5 publications

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“…Anyway, even the last party has to gain some seats and this may happen only after the acceptance of some peculiar outcomes. A problem similar to the one described for Greece is experienced under the recent Italian electoral law [6]. In Italy the system may end up by awarding a party more (or less) seats within the regions than those the same party is entitled to at the national level.…”

Section: Region Quotas Current New Bazimentioning

confidence: 96%

Greatest remainder bi-proportional rounding and the Greek parliamentary elections of 2007

Tsitouras

2011

Applied Mathematics and Computation

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Section: Region Quotas Current New Bazimentioning

confidence: 96%

Greatest remainder bi-proportional rounding and the Greek parliamentary elections of 2007

Tsitouras

2011

Applied Mathematics and Computation

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“…Unfortunately, realistic examples can be exhibited in which no up‐ or down‐rounding of the regional quotas satisfies both the district‐ and the party‐sum constraints. The Italian procedure tries to solve the BAP in the wrong way [41]: the matrix of seats produced by such procedure may fail to satisfy the district‐sum constraints, the party‐sum constraints, or both. The result is that in the five last political elections for the Chamber of Deputies this has indeed happened three times (precisely in 1996, 2006, 2008).…”

Section: Biproportional Seat Apportionmentmentioning

confidence: 99%

Network flow methods for electoral systems

et al. 2011

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Researchers in the area of electoral systems have recently turned their attention to network flow techniques with the aim to resolve certain practically relevant problems arising in this area. The aim of the present paper is review some of this work, showing the applicability of these techniques even to problems of a very different nature.Major emphasis will be placed on "biproportional apportionment", a problem that frequently arises in proportional electoral systems, but which in some countries is still ill-solved, or not dealt with rigorously, notwithstanding the availability of several sound solution procedures and their concrete application in some real-life elections. Beside biproportional apportionment, we shall discuss applications of network flows to problems such as vote transitions and political districting. Finally, we address the so-called "Give-up Problem", which arises in the current elections for the Italian Parliament. It is related to the possible assignment of seats to multiple winners of a given party. Based on the results and techniques presented in this paper, it is fair to state that network flow models and algorithms are indeed very flexible and effective tools for the analysis and the design of contemporary electoral systems.

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“…The new electoral system for Italy is also somehow a biproportional system, although it suffers from some unproportional elements like a majority reward for the winning coalition and some bugs in the implemented seat allocation [32,33]. We decided to incorporate the data of the 2006 Italian election to see how a correct biproportional seat allocation would work.…”

Section: Italian National Assembly (It06)mentioning

confidence: 99%

Divisor-Based Biproportional Apportionment in Electoral Systems: A Real-Life Benchmark Study

2010

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Biproportional apportionment methods provide two-way proportionality in electoral systems where the electoral region is subdivided into electoral districts. The problem is to assign integral values to the elements of a matrix that are proportional to a given input matrix, and such that a set of row- and column-sum requirements are fulfilled. In a divisor-based method for biproportional apportionment, the problem is solved by computing appropriate row and column divisors, and by rounding the quotients. We present a comprehensive experimental evaluation of divisor-based biproportional apportionment in an electoral system context. By performing experiments on real-life benchmark instances (election data with multimember districts), we evaluate the general quality of divisor-based apportionments with respect to, e.g., deviation from quota, reversal orderings, and occurrences of ties. For example, we studied the frequency in which a party with a higher vote count in a district ended up with fewer seats in that district.electoral systems, divisor-based biproportional apportionment, computer simulation

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The Italian Bug: A Flawed Procedure for Bi-Proportional Seat Allocation

Cited by 11 publications

References 5 publications

Greatest remainder bi-proportional rounding and the Greek parliamentary elections of 2007

Greatest remainder bi-proportional rounding and the Greek parliamentary elections of 2007

Network flow methods for electoral systems

Divisor-Based Biproportional Apportionment in Electoral Systems: A Real-Life Benchmark Study

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