Geodesic
Manipulation by Merging and Annexation in Weighted Voting Games
Serdica Journal of Computing, Tome 11 (2017) no. 1, pp. 059-072.

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The problem of manipulation in voting is fundamental and has received attention in recent research in game theory. In this paper, we consider two cases of manipulation in weighted voting games done by merging of coalitions into single players and by annexation of a part or all of the voting weights of another player viewed from two perspectives: of the effect of swings of players and of the role of the Banzhaf power index. We prove two theorems for manipulation by merging and annexation, and show several attractive properties in these two processes. ACM Computing Classification System (1998): J.4, I.2.1.
Mots-clés : Weighted Voting Game, Manipulation, Swing, Merging, Annexation, Banzhaf Index 
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Slavov, Zdravko; Evans, Christina. Manipulation by Merging and Annexation in Weighted Voting Games. Serdica Journal of Computing, Tome 11 (2017) no. 1, pp. 059-072. https://geodesic-test.mathdoc.fr/item/SJC_2017_11_1_a4/