Abstract
The theoretical guarantees provided by voting have distinguished it as a prominent method of preference aggregation among autonomous agents. However, unlike humans, agents usually assign each candidate an exact utility, whereas an election is resolved based solely on each voter’s linear ordering of candidates. In essence, the agents’ cardinal (utility-based) preferences are embedded into the space of ordinal preferences. This often gives rise to a distortion in the preferences, and hence in the social welfare of the outcome.
In this paper, we formally define and analyze the concept of distortion. We fully characterize the distortion under different restrictions imposed on agents’ cardinal preferences; both possibility and strong impossibility results are established. We also tackle some computational aspects of calculating the distortion. Ultimately, we argue that, whenever voting is applied in a multiagent system, distortion must be a pivotal consideration.
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References
Bartholdi, J., Orlin, J.: Single transferable vote resists strategic voting. Social Choice and Welfare 8, 341–354 (1991)
Bartholdi, J., Tovey, C.A., Trick, M.A.: How hard is it to control an election. Mathematical and Computer Modelling 16, 27–40 (1992)
Brams, S.J., Fishburn, P.C.: Voting procedures. In: Arrow, K.J., Sen, A.K., Suzumura, K. (eds.) Handbook of Social Choice and Welfare, ch. 4. North-Holland, Amsterdam (2002)
Caprara, A., Kellerer, H., Pferschy, U., Pisinger, D.: Approximation algorithms for knapsack problems with cardinality constraints. European Journal of Operational Research 123, 333–345 (2000)
Conitzer, V., Sandholm, T.: Complexity of manipulating elections with few candidates. In: Proceedings of the National Conference on Artificial Intelligence, pp. 314–319 (2002)
Elkind, E., Lipmaa, H.: Small Coalitions Cannot Manipulate Voting. In: S. Patrick, A., Yung, M. (eds.) FC 2005. LNCS, vol. 3570, pp. 285–297. Springer, Heidelberg (2005)
Ephrati, E., Rosenschein, J.S.: A heuristic technique for multiagent planning. Annals of Mathematics and Artificial Intelligence 20, 13–67 (1997)
Ghosh, S., Mundhe, M., Hernandez, K., Sen, S.: Voting for movies: the anatomy of a recommender system. In: Proceedings of the Third Annual Conference on Autonomous Agents, pp. 434–435 (1999)
Haynes, T., Sen, S., Arora, N., Nadella, R.: An automated meeting scheduling system that utilizes user preferences. In: Proceedings of the First International Conference on Autonomous Agents, pp. 308–315 (1997)
Matousek, J.: Lectures on Discrete Geometry, ch. 15. Springer, Heidelberg (2002)
Monroe, B.L.: Fully proportional representation. American Political Science Review 89(4), 925–940 (1995)
Procaccia, A.D., Rosenschein, J.S.: Junta distributions and the average-case complexity of manipulating elections. In: Proceedings of the Fifth International Joint Conference on Autonomous Agents and Multiagent Systems, pp. 497–504 (2006)
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Procaccia, A.D., Rosenschein, J.S. (2006). The Distortion of Cardinal Preferences in Voting. In: Klusch, M., Rovatsos, M., Payne, T.R. (eds) Cooperative Information Agents X. CIA 2006. Lecture Notes in Computer Science(), vol 4149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11839354_23
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DOI: https://doi.org/10.1007/11839354_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-38569-1
Online ISBN: 978-3-540-38570-7
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