Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parameterized Intractability for Multi-Winner Election under the
  Chamberlin-Courant Rule and the Monroe Rule   Answering an open question by Betzler et al. [Betzler et al., JAIR'13], we
resolve the parameterized complexity of the multi-winner determination problem
under two famous representation voting rules: the Chamberlin-Courant (in short
CC) rule [Chamberlin and Courant, APSR'83] and the Monroe rule [Monroe,
APSR'95]. We show that under both rules, the problem is W[1]-hard with respect
to the sum $\beta$ of misrepresentations, thereby precluding the existence of
any $f(\beta) \cdot |I|^{O(1)}$ -time algorithm, where $|I|$ denotes the size
of the input instance.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: eess