Voting for your enemies can do you good.
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References
Barbera, S., Maschler, M. & Shalev,, J. Voting for voters: a model of electoral evolution. Games and Economic Behavior 37, 40 - 78 (2001).
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Ball, P. Machiavellian tactics modelled. Nature (2001). https://doi.org/10.1038/news011011-8
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DOI: https://doi.org/10.1038/news011011-8