TY - CONF ID - publications29519 UR - https://publications.ut-capitole.fr/id/eprint/29519/ A1 - Elkind, Edith A1 - Grandi, Umberto A1 - Rossi, Francesca A1 - Slinko, Arkadii Y1 - 2015/// N2 - The Gibbard-Satterthwaite theorem implies the ubiquity of manipulators-voters who could change the election outcome in their favor by unilaterally modifying their vote. In this paper, we ask what happens if a given profile admits several such voters. We model strategic interactions among Gibbard-Satterthwaite manipulators as a normal-form game. We classify the 2-by-2 games that can arise in this setting for two simple voting rules, namely Plurality and Borda, and study the complexity of determining whether a given manipulative vote weakly dominates truth-telling, as well as existence of Nash equilibria. PB - AAAI Press KW - Gibbard-Satterthwaite theorem TI - Gibbard-Satterthwaite Games SP - 533 AV - public EP - 539 T2 - 24th International Joint Conference on Artificial Intelligence (IJCAI 2015) ER -