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Group-Strategyproof Irresolute Social Choice Functions

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Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence. Pages 79-83.

https://doi.org/10.5591/978-1-57735-516-8/IJCAI11-025

Abstract

An important problem in voting is that agents may misrepresent their preferences in order to obtain a more preferred outcome. Unfortunately, this phenomenon has been shown to be inevitable in the case of resolute, i.e., single-valued, social choice functions. In this paper, we introduce a variant of Maskin-monotonicity that completely characterizes the class of pairwise irresolute social choice functions that are group-strategyproof according to Kelly's preference extension.The class is narrow but contains a number of appealing Condorcet extensions such as the minimal covering set and the bipartisan set, thereby answering a question raised independently by Barbera (1977) and Kelly (1977). These functions furthermore encourage participation and thus do not suffer from the no-show paradox (under Kelly's extension).

Felix Brandt. 2011. Group-Strategyproof Irresolute Social Choice Functions. In Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence, IJCAI-11. IJCAI, 79–83. https://doi.org/10.5591/978-1-57735-516-8/IJCAI11-025
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