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A characterization of the single-crossing domain

  • Robert Bredereck


  • Jiehua Chen


  • Gerhard Woeginger


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    We characterize single-crossing preference profiles in terms of two forbidden substructures, one of which contains three voters and six (not necessarily distinct) alternatives, and one of which contains four voters and four (not necessarily distinct) alternatives. We also provide an efficient way to decide whether a preference profile is single-crossing. Copyright Springer-Verlag Berlin Heidelberg 2013

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    Article provided by Springer & The Society for Social Choice and Welfare in its journal Social Choice and Welfare.

    Volume (Year): 41 (2013)
    Issue (Month): 4 (October)
    Pages: 989-998

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    Handle: RePEc:spr:sochwe:v:41:y:2013:i:4:p:989-998
    DOI: 10.1007/s00355-012-0717-8
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    1. Miguel Ballester & Guillaume Haeringer, 2011. "A characterization of the single-peaked domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 305-322, February.
    2. Epple, Dennis & Platt, Glenn J., 1998. "Equilibrium and Local Redistribution in an Urban Economy when Households Differ in both Preferences and Incomes," Journal of Urban Economics, Elsevier, vol. 43(1), pages 23-51, January.
    3. Saporiti, Alejandro, 2009. "Strategy-proofness and single-crossing," Theoretical Economics, Econometric Society, vol. 4(2), June.
    4. Fan-Chin Kung, 2006. "An Algorithm for Stable and Equitable Coalition Structures with Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(3), pages 345-355, 08.
    5. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March.
    6. Salvador Barberà & Matthew O. Jackson, 2000. "Choosing How to Choose: Self-Stable Majority Rules and Constitutions," Working Papers 57, Barcelona Graduate School of Economics.
    7. Demange, G., 1991. "Intermediate Preferences and Stable Coalition Structures," DELTA Working Papers 91-16, DELTA (Ecole normale supérieure).
    8. Alejandro Saporiti & Fernando Tohmé, 2003. "Single-Crossing, Strategic Voting and the Median Choice Rule," CEMA Working Papers: Serie Documentos de Trabajo. 237, Universidad del CEMA.
    9. Salvador Barberà & Bernardo Moreno, 2008. "Top Monotonicity: A Common Root for Single Peakedness, Single Crossing and the Median Voter Result," Working Papers 2008-9, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    10. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
    11. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    12. Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
    13. Ádám Galambos & Victor Reiner, 2008. "Acyclic sets of linear orders via the Bruhat orders," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 245-264, February.
    14. Meltzer, Allan H & Richard, Scott F, 1981. "A Rational Theory of the Size of Government," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 914-27, October.
    15. Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
    16. Westhoff, Frank, 1977. "Existence of equilibria in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 14(1), pages 84-112, February.
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