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arXiv · 1707.05619

Gibbard-Satterthwaite Games for k-Approval Voting Rules

Umberto Grandi·Daniel Hughes·Francesca Rossi·Arkadii Slinko
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Abstract

The Gibbard-Satterthwaite theorem implies the existence of voters, called manipulators, who can change the election outcome in their favour by voting strategically. When a given preference profile admits several such manipulators, voting becomes a game played by these voters, who have to reason strategically about each others' actions. To complicate the game even further, counter-manipulators may then try to counteract the actions of manipulators. Our voters are boundedly rational and do not think beyond manipulating or countermanipulating. We call these games Gibbard--Satterthwaite Games. In this paper we look for conditions that guarantee the existence of a Nash equilibria in pure strategies.

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Umberto Grandi, Daniel Hughes, Francesca Rossi, Arkadii Slinko. 2017-07-18. Gibbard-Satterthwaite Games for k-Approval Voting Rules. https://arxiv.org/abs/1707.05619

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