Multivariate Complexity Analysis of Swap Bribery

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Multivariate Complexity Analysis of Swap Bribery
We consider the computational complexity of a problem modeling bribery in the context of voting systems. In the scenario of Swap Bribery, each voter assigns a certain price for swapping the positions of two consecutive candidates in his preference ranking. The question is whether it is possible, without exceeding a given budget, to bribe the voters in a way that the preferred candidate wins in the election. We initiate a parameterized and multivariate complexity analysis of Swap Bribery, focusing on the case of k-approval. We investigate how different cost functions affect the computational complexity of the problem. We identify a special case of k-approval for which the problem can be solved in polynomial time, whereas we prove NPhardness for a slightly more general scenario. We obtain fixed-parameter tractability as well as W[1]-hardness results for certain natural parameters.
Britta Dorn, Ildikó Schlotter
Added 14 Feb 2011
Updated 14 Feb 2011
Type Journal
Year 2010
Authors Britta Dorn, Ildikó Schlotter
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