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How to Gerrymander: A Formal Analysis

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  • Sherstyuk, Katerina

Abstract

This paper combines the optimal gerrymandering approach in political science with the 'fair cake division' results in mathematics and economics to consider optimal partisan gerrymandering schemes on a given territory. The author analyzes existence and properties of an optimal districting map for a strategic party that has control over redistricting process, given arbitrary continuous distributions of voters and party supporters over the electoral territory. Interestingly, she finds that imposition of certain equality-type constraints on districting might often help to prevent gerrymandering and sustain fairness. Copyright 1998 by Kluwer Academic Publishers

Suggested Citation

  • Sherstyuk, Katerina, 1998. "How to Gerrymander: A Formal Analysis," Public Choice, Springer, vol. 95(1-2), pages 27-49, April.
    • Handle: RePEc:kap:pubcho:v:95:y:1998:i:1-2:p:27-49
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    References listed on IDEAS

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    1. Aranson, Peter H. & Hinich, Melvin J. & Ordeshook, Peter C., 1974. "Election Goals and Strategies: Equivalent and Nonequivalent Candidate Objectives," American Political Science Review, Cambridge University Press, vol. 68(1), pages 135-152, March.
    2. Brams, S.J. & Taylor, A.D., 1992. "An Envy-Free Cake Division Algorithm," Working Papers 92-31, C.V. Starr Center for Applied Economics, New York University.
    3. M. L. BALINSKI & H. P. Young, 1982. "Fair Representation in the European Parliament," Journal of Common Market Studies, Wiley Blackwell, vol. 20(4), pages 361-373, June.
    4. Berliant, Marcus & Thomson, William & Dunz, Karl, 1992. "On the fair division of a heterogeneous commodity," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 201-216.
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    Cited by:

    1. Bracco, Emanuele, 2013. "Optimal districting with endogenous party platforms," Journal of Public Economics, Elsevier, vol. 104(C), pages 1-13.
    2. Wolfgang Pesendorfer & Faruk Gul, 2007. "Strategic Redistricting," Levine's Bibliography 843644000000000351, UCLA Department of Economics.
    3. repec:lan:wpaper:1711 is not listed on IDEAS
    4. Xiaotie Deng & Qi Qi & Amin Saberi, 2012. "Algorithmic Solutions for Envy-Free Cake Cutting," Operations Research, INFORMS, vol. 60(6), pages 1461-1476, December.
    5. Stephen Coate & Brian Knight, 2007. "Socially Optimal Districting: A Theoretical and Empirical Exploration," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(4), pages 1409-1471.
    6. Faruk Gul & Wolfgang Pesendorfer, 2010. "Strategic Redistricting," American Economic Review, American Economic Association, vol. 100(4), pages 1616-1641, September.
    7. Corbett A. Grainger, 2010. "Redistricting and Polarization: Who Draws the Lines in California?," Journal of Law and Economics, University of Chicago Press, vol. 53(3), pages 545-567.
    8. Puppe, Clemens & Tasnádi, Attila, 2009. "Optimal redistricting under geographical constraints: Why "pack and crack" does not work," Economics Letters, Elsevier, vol. 105(1), pages 93-96, October.
    9. repec:lan:wpaper:1815 is not listed on IDEAS
    10. Faruk Gul & Wolfgang Pesendorfer, 2007. "Competitive Redistricting," Levine's Bibliography 321307000000000748, UCLA Department of Economics.
    11. Andrei Gomberg & Romans Pancs & Tridib Sharma, 2023. "Electoral Maldistricting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(3), pages 1223-1264, August.
    12. Kyle Gatesman & James Unwin, 2018. "Lattice Studies of Gerrymandering Strategies," Papers 1808.02826, arXiv.org.
    13. Siddhartha Bandyopadhyay & Bryan C McCannon, 2011. "The Redistricting of Public Prosecutors' Offices," Discussion Papers 11-13, Department of Economics, University of Birmingham.
    14. Thomas Gilligan & John Matsusaka, 2006. "Public choice principles of redistricting," Public Choice, Springer, vol. 129(3), pages 381-398, December.
    15. Kai Hao Yang & Alexander K. Zentefis, 2022. "Gerrymandering and the Limits of Representative Democracy," Cowles Foundation Discussion Papers 2328, Cowles Foundation for Research in Economics, Yale University.
    16. repec:lan:wpaper:1932 is not listed on IDEAS
    17. repec:lan:wpaper:616564 is not listed on IDEAS
    18. Stephen Coate & Brian Knight, 2005. "Socially Optimal Districting," NBER Working Papers 11462, National Bureau of Economic Research, Inc.

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