The Complexity of Campaigning

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10576)

Abstract

In “The Logic of Campaigning”, Dean and Parikh consider a candidate making campaign statements to appeal to the voters. They model these statements as Boolean formulas over variables that represent stances on the issues, and study optimal candidate strategies under three proposed models of voter preferences based on the assignments that satisfy these formulas. We prove that voter utility evaluation is computationally hard under these preference models (in one case, \(\#P\)-hard), along with certain problems related to candidate strategic reasoning. Our results raise questions about the desirable characteristics of a voter preference model and to what extent a polynomial-time-evaluable function can capture them.

References

  1. 1.
    Aragones, E., Neeman, Z.: Strategic ambiguity in electoral competition. J. Theoret. Polit. 12(2), 183–204 (2000). doi:10.1177/0951692800012002003 CrossRefGoogle Scholar
  2. 2.
    Aragones, E., Postlewaite, A.: Ambiguity in election games. Rev. Econ. Des. 7(3), 233–255 (2002). doi:10.1007/s100580200081 MATHGoogle Scholar
  3. 3.
    Aragones, E., Gilboa, I., Weiss, A.: Making statements and approval voting. Theory Decis. 71(4), 461–472 (2011). doi:10.1007/s11238-010-9208-5 MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Ausiello, G., Crescenzi, P., Gambosi, G., Kann, V., Marchetti-Spaccamela, A., Protasi, M.: Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties. Springer, Heidelberg (1999). doi:10.1007/978-3-642-58412-1 CrossRefMATHGoogle Scholar
  5. 5.
    Bond, R.M., Fariss, C.J., Jones, J.J., Kramer, A.D.I., Marlow, C., Settle, J.E., Fowler, J.H.: A 61-million-person experiment in social influence and political mobilization. Nature 489(7415), 295–298 (2012). doi:10.1038/nature11421 CrossRefGoogle Scholar
  6. 6.
    Dean, W., Parikh, R.: The logic of campaigning. In: Banerjee, M., Seth, A. (eds.) ICLA 2011. LNCS, vol. 6521, pp. 38–49. Springer, Heidelberg (2011). doi:10.1007/978-3-642-18026-2_5 CrossRefGoogle Scholar
  7. 7.
    Grice, H.P.: Logic and conversation. In: Cole, P., Morgan, J.L. (eds.) Syntax and Semantics 3: Speech Acts, pp. 41–58. Academic Press, New York (1975)Google Scholar
  8. 8.
    Klein, D.: Expressive voting: Modeling a voter’s decision to vote. In: ESSLLI Workshop on Logical Models of Group Decision Making (2013)Google Scholar
  9. 9.
    Klein, D., Pacuit, E.: Focusing on campaigns. In: Başkent, C., Moss, L.S., Ramanujam, R. (eds.) Rohit Parikh on Logic, Language and Society. OCL, vol. 11, pp. 77–89. Springer, Cham (2017). doi:10.1007/978-3-319-47843-2_5 CrossRefGoogle Scholar
  10. 10.
    Krueger, J.I., Acevedo, M.: A game-theoretic view of voting. J. Soc. Issues 64(3), 467–485 (2008). doi:10.1111/j.1540-4560.2008.00573.x CrossRefGoogle Scholar
  11. 11.
    Manzoni, E.: Electoral campaigns with strategic candidates: A theoretical and empirical analysis. Ph.D. thesis, London School of Economics and Political Science (United Kingdom) (2010)Google Scholar
  12. 12.
    Panconesi, A., Ranjan, D.: Quantifiers and approximation. Theoret. Comput. Sci. 107(1), 145–163 (1993). doi:10.1016/0304-3975(93)90259-V MathSciNetCrossRefMATHGoogle Scholar
  13. 13.
    Parikh, R., Taşdemir, Ç.: The strategy of campaigning. In: Beklemishev, L.D., Blass, A., Dershowitz, N., Finkbeiner, B., Schulte, W. (eds.) Fields of Logic and Computation II. LNCS, vol. 9300, pp. 253–260. Springer, Cham (2015). doi:10.1007/978-3-319-23534-9_15 CrossRefGoogle Scholar
  14. 14.
    Parker, M.T., Isbell, L.M.: How I vote depends on how I feel: The differential impact of anger and fear on political information processing. Psychol. Sci. 21(4), 548–550 (2010). doi:10.1177/0956797610364006 CrossRefGoogle Scholar
  15. 15.
    Petrocik, J.R.: Issue ownership in presidential elections, with a 1980 case study. Am. J. Polit. Sci. 40(3), 825–850 (1996). doi:10.2307/2111797 CrossRefGoogle Scholar
  16. 16.
    Pew Research Center: Who votes, who doesn’t, and why: Regular voters, intermittent voters, and those who don’t (2006)Google Scholar
  17. 17.
    Valiant, L.G.: The complexity of computing the permanent. Theoret. Comput. Sci. 8(2), 189–201 (1979). doi:10.1016/0304-3975(79)90044-6 MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Cory Siler
    • 1
  • Luke Harold Miles
    • 1
  • Judy Goldsmith
    • 1
  1. 1.University of KentuckyLexingtonUSA

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