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arXiv · 1403.0974

Parametrized Algorithms for Random Serial Dictatorship

Haris Aziz·Julián Mestre
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Abstract

Voting and assignment are two of the most fundamental settings in social choice theory. For both settings, random serial dictatorship (RSD) is a well-known rule that satisfies anonymity, ex post efficiency, and strategyproofness. Recently, it was shown that computing the resulting probabilities is #P-complete both in the voting and assignment setting. In this paper, we study RSD from a parametrized complexity perspective. More specifically, we present efficient algorithms to compute the RSD probabilities under the condition that the number of agent types, alternatives, or objects is bounded.

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Haris Aziz, Julián Mestre. 2014-03-04. Parametrized Algorithms for Random Serial Dictatorship. https://arxiv.org/abs/1403.0974

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