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Manipulation of single-winner large elections by vote pairing. (English) Zbl 1396.91122
Summary: Manipulation of indirect elections by vote pairing occurs when a group of voters in different electoral bodies secures a jointly preferred winner by performing pairwise exchanges of votes. We show that in elections involving a large enough number of districts, each with a large enough size, no reasonable constitution is immune to vote-pairing.
91B12 Voting theory
Full Text: DOI
[1] Bervoets, S.; Merlin, V., On avoiding vote-swapping, Soc. Choice Welf., 46, 495-509, (2016) · Zbl 1391.91073
[2] Denicolò, V., Independence of irrelevant alternatives and consistency of choice, Econom. Theory, 15, 1, 221-226, (2000) · Zbl 0958.91011
[3] Dindar, H.; Laffond, G.; Lainé, J., (Kamiński, B.; Kersten, G.; Szapiro, T., Vote Swapping in Representative Democracy, Outlooks and Insights on Group Decision and Negotiation, vol. 218, (2015)), 227-239
[4] Gibbard, A., Manipulation of voting schemes: a general result, Econometrica, 41, 587-601, (1973) · Zbl 0325.90081
[5] Hartvigsen, D., The manipulation of voting systems, J. Bus. Ethics, 80, 13-21, (2008)
[6] Muller, E.; Satterthwaite, M. A., The equivalence of strong positive association and strategy-proofness, J. Econom. Theory, 14, 412-418, (1977) · Zbl 0402.90004
[7] Satterthwaite, M. A., Strategy-proofness and arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions, J. Econom. Theory, 10, 187-217, (1975) · Zbl 0315.90088
[8] Yu, N. N., A quest for fundamental theorems of social choice, Soc. Choice Welf., 44, 533-548, (2015) · Zbl 1318.91069
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