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Strategic Voting in Negotiating Teams

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Algorithmic Decision Theory (ADT 2021)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13023))

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Abstract

A negotiating team is a group of two or more agents who join together as a single negotiating party because they share a common goal related to the negotiation. Since a negotiating team is composed of several stakeholders, represented as a single negotiating party, there is need for a voting rule for the team to reach decisions. In this paper, we investigate the problem of strategic voting in the context of negotiating teams. Specifically, we present a polynomial-time algorithm that finds a manipulation for a single voter when using a positional scoring rule. We show that the problem is still tractable when there is a coalition of manipulators that uses a x-approval rule. The coalitional manipulation problem becomes computationally hard when using Borda, but we provide a polynomial-time algorithm with the following guarantee: given a manipulable instance with k manipulators, the algorithm finds a successful manipulation with at most one additional manipulator. Our results hold for both constructive and destructive manipulations.

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Notes

  1. 1.

    Our definition of a candidate’s position in a voter’s ranking is the opposite of the commonly used, and we chose it to enhance the readability of the proofs: \({pos(o,p_i)} \ge {pos(o',p_j)}\) is naturally translated to “o is ranked in \(p_i\) higher than \(o'\) is ranked in \(p_j\)”.

References

  1. Anbarci, N.: Noncooperative foundations of the area monotonic solution. Q. J. Econ. 108(1), 245–258 (1993)

    Article  Google Scholar 

  2. Bartholdi, J.J., Orlin, J.B.: Single transferable vote resists strategic voting. Soc. Choice Welfare 8(4), 341–354 (1991). https://doi.org/10.1007/BF00183045

  3. Bartholdi, J.J., Tovey, C.A., Trick, M.A.: The computational difficulty of manipulating an election. Soc. Choice Welfare 6(3), 227–241 (1989). https://doi.org/10.1007/BF00295861

  4. Bossert, W., Sprumont, Y.: Strategy-proof preference aggregation: possibilities and characterizations. Games Econ. Behav. 85, 109–126 (2014)

    Article  MathSciNet  Google Scholar 

  5. Bossert, W., Storcken, T.: Strategy-proofness of social welfare functions: the use of the kemeny distance between preference orderings. Soc. Choice and Welfare 9(4), 345–360 (1992). https://doi.org/10.1007/BF00182575

  6. Brams, S.J.: Negotiation Games: Applying Game Theory to Bargaining and Arbitration, vol. 2. Psychology Press, Hove (2003)

    Google Scholar 

  7. Bredereck, R., Kaczmarczyk, A., Niedermeier, R.: On coalitional manipulation for multiwinner elections: shortlisting. In: Proceedings of IJCAI-2017, pp. 887–893 (2017)

    Google Scholar 

  8. Brodt, S., Thompson, L.: Negotiating teams: a levels of analysis approach. Group Dyn. Theor. Res. Pract. 5(3), 208–219 (2001)

    Article  Google Scholar 

  9. Conitzer, V., Sandholm, T.: Universal voting protocol tweaks to make manipulation hard. In: Proceedings of IJCAI, pp. 781–788 (2003)

    Google Scholar 

  10. Conitzer, V., Sandholm, T., Lang, J.: When are elections with few candidates hard to manipulate? J. ACM (JACM) 54(3), 14 (2007)

    Article  MathSciNet  Google Scholar 

  11. Conitzer, V., Walsh, T.: Barriers to manipulation in voting. In: Brandt, F., Conitzer, V., Endriss, U., Lang, J., Procaccia, A.D. (eds.) Handbook of Computational Social Choice, pp. 127–145. Cambridge University Press (2016)

    Google Scholar 

  12. Davies, J., Narodytska, N., Walsh, T.: Eliminating the weakest link: making manipulation intractable? In: Proceedings of AAAI, pp. 1333–1339 (2012)

    Google Scholar 

  13. Dogan, O., Lainé, J.: Strategic manipulation of social welfare functions via strict preference extensions. In: The 13th Meeting of the Society for Social Choice and Welfare, p. 199 (2016)

    Google Scholar 

  14. Dwork, C., Kumar, R., Naor, M., Sivakumar, D.: Rank aggregation methods for the web. In: Proceedings of WWW, pp. 613–622 (2001)

    Google Scholar 

  15. Elkind, E., Lipmaa, H.: Hybrid voting protocols and hardness of manipulation. In: Deng, X., Du, D.Z. (eds.) Algorithms and Computation, vol. 3827, pp. 206–215. Springer, Heidelberg (2005). https://doi.org/10.1007/11602613_22

  16. Ephrati, E., Rosenschein, J.S., et al.: Multi-agent planning as a dynamic search for social consensus. In: Proceedings of IJCAI, pp. 423–429 (1993)

    Google Scholar 

  17. Erlich, S., Hazon, N., Kraus, S.: Negotiation strategies for agents with ordinal preferences. In: Proceedings of IJCAI, pp. 210–218 (2018)

    Google Scholar 

  18. Faliszewski, P., Procaccia, A.D.: AI’s war on manipulation: are we winning? AI Mag. 31(4), 53–64 (2010)

    Article  Google Scholar 

  19. Fatima, S., Kraus, S., Wooldridge, M.: Principles of Automated Negotiation. Cambridge University Press, Cambridge (2014).

    Book  Google Scholar 

  20. Gibbard, A.: Manipulation of voting schemes: a general result. Econometrica 41(4), 587–601 (1973)

    Article  MathSciNet  Google Scholar 

  21. Kıbrıs, Ö., Sertel, M.R.: Bargaining over a finite set of alternatives. Soc. Choice Welfare 28(3), 421–437 (2007). https://doi.org/10.1007/s00355-006-0178-z

  22. Meir, R., Procaccia, A.D., Rosenschein, J.S., Zohar, A.: Complexity of strategic behavior in multi-winner elections. J. Artif. Intell. Res. 33, 149–178 (2008)

    Article  MathSciNet  Google Scholar 

  23. Narodytska, N., Walsh, T.: Manipulating two stage voting rules. In: Proceedings of AAMAS, pp. 423–430 (2013)

    Google Scholar 

  24. Obraztsova, S., Zick, Y., Elkind, E.: On manipulation in multi-winner elections based on scoring rules. In: Proceedings of AAMAS, pp. 359–366 (2013)

    Google Scholar 

  25. Sánchez-Anguix, V., Botti, V., Julián, V., García-Fornes, A.: Analyzing intra-team strategies for agent-based negotiation teams. In: Proceedings of AAMAS, pp. 929–936 (2011)

    Google Scholar 

  26. Satterthwaite, M.A.: Strategy-proofness and arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions. J. Econ. Theor. 10(2), 187–217 (1975)

    Google Scholar 

  27. Schmerler, L., Hazon, N.: Strategic voting in the context of negotiating teams. ar**v preprint ar**v:2107.14097 (2021)

  28. Yang, Y., Guo, J.: Exact algorithms for weighted and unweighted borda manipulation problems. Theor. Comput. Sci. 622, 79–89 (2016)

    Article  MathSciNet  Google Scholar 

  29. Yu, W., Hoogeveen, H., Lenstra, J.K.: Minimizing makespan in a two-machine flow shop with delays and unit-time operations is NP-hard. J. Sched. 7(5), 333–348 (2004). https://doi.org/10.1023/B:JOSH.0000036858.59787.c2

  30. Zuckerman, M., Procaccia, A.D., Rosenschein, J.S.: Algorithms for the coalitional manipulation problem. Artif. Intell. 173(2), 392–412 (2009)

    Article  MathSciNet  Google Scholar 

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Acknowledgments

This research was supported in part by the Ministry of Science, Technology & Space, Israel.

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Authors and Affiliations

  1. Department of Computer Science, Ariel University, Ariel, Israel

    Leora Schmerler & Noam Hazon

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  1. Leora Schmerler
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  2. Noam Hazon
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Correspondence to Noam Hazon .

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Editors and Affiliations

  1. National Technical University of Athens, Athens, Greece

    Dimitris Fotakis

  2. Consejo Superior de Investigaciones Cientificas, Madrid, Madrid, Spain

    David Ríos Insua

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Schmerler, L., Hazon, N. (2021). Strategic Voting in Negotiating Teams. In: Fotakis, D., Ríos Insua, D. (eds) Algorithmic Decision Theory. ADT 2021. Lecture Notes in Computer Science(), vol 13023. Springer, Cham. https://doi.org/10.1007/978-3-030-87756-9_14

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  • DOI: https://doi.org/10.1007/978-3-030-87756-9_14

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-030-87756-9

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