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A Power Measure Analysis of Amendment 36 in Colorado

Luc Bovens

Public Choice 134:231–46 (2008)

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Minimizing the threat of a positive majority deficit in two-tier voting systems with equipopulous units.Claus Beisbart & Luc Bovens - 2013 - Public Choice 132 (1-2):75-94.details The mean majority deficit in a two-tier voting system is a function of the partition of the population. We derive a new square-root rule: For odd-numbered population sizes and equipopulous units the mean majority deficit is maximal when the member size of the units in the partition is close to the square root of the population size. Furthermore, within the partitions into roughly equipopulous units, partitions with small even numbers of units or small even-sized units yield high mean majority deficits. (...) Download Export citation Bookmark
Measuring voting power for dependent voters through causal models.Luc Bovens & Claus Beisbart - 2011 - Synthese 179 (1):35 - 56.details We construct a new measure of voting power that yields reasonable measurements even if the individual votes are not cast independently. Our measure hinges on probabilities of counterfactuals, such as the probability that the outcome of a collective decision would have been yes, had a voter voted yes rather than no as she did in the real world. The probabilities of such counterfactuals are calculated on the basis of causal information, following the approach by Balke and Pearl. Opinion leaders whose (...) Download Export citation Bookmark
Groups can make a difference: voting power measures extended. [REVIEW]Claus Beisbart - 2010 - Theory and Decision 69 (3):469-488.details The voting power of a voter—the extent to which she can affect the outcome of a collective decision—is often quantified in terms of the probability that she is critical. This measure is extended to a series of power measures of different ranks. The measures quantify the extent to which a voter can be part of a group that can jointly make a difference as to whether a bill passes or not. It is argued that the series of these measures allow (...) Download Export citation Bookmark 1 citation

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