IDEAS home Printed from https://ideas.repec.org/p/ash/wpaper/96.html
   My bibliography  Save this paper

Contraction consistent aggregation on trees

Author

Listed:
  • Mihir Bhattacharya

    (Ashoka University)

Abstract

We study contraction consistent social choice functions (s.c.f.) in a setting where voters have single-peaked preferences over a tree. This is relevant in settings where alternatives are locations spread out on a tree and a location needs to be selected for provision of a public good. An s.c.f. is contraction consistent if its outcome at any profile does not change when the profile is restricted to any subset consisting of the outcome. We show that q-threshold rules on trees} are the only s.c.f.s which satisfy contraction consistency, unanimity and anonymity. These s.c.f.s specify, for each alternative, thresholds which are decreasing (increasing) on every path from a given node. These s.c.f.s then select from the range, the unique alternative which is the smallest (greatest) alternative in any restricted vote profile that receives more additive votes than the threshold assigned to it. These s.c.f.s are generalizations of min, max, and median s.c.f.s when restricted to paths.

Suggested Citation

  • Mihir Bhattacharya, 2023. "Contraction consistent aggregation on trees," Working Papers 96, Ashoka University, Department of Economics, revised 09 Aug 2023.
    • Handle: RePEc:ash:wpaper:96
    as

    Download full text from publisher

    File URL: https://dp.ashoka.edu.in/ash/wpaper/paper96_0.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Christophe Crombez, 2004. "Introduction," Journal of Theoretical Politics, , vol. 16(3), pages 227-231, July.
    2. Persson, Torsten & Tabellini, Guido, 2002. "Political economics and public finance," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 3, chapter 24, pages 1549-1659, Elsevier.
    3. Kaivan Munshi & Mark Rosenzweig, 2008. "The Efficacy of Parochial Politics: Caste, Commitment, and Competence in Indian Local Governments," NBER Working Papers 14335, National Bureau of Economic Research, Inc.
    4. Navin Kartik & Francesco Squintani & Katrin Tinn, 2024. "Information Revelation and Pandering in Elections," Papers 2406.17084, arXiv.org.
    5. Burkhard Schipper & Hee Yeul Woo, 2012. "Political Awareness and Microtargeting of Voters in Electoral Competition," Working Papers 124, University of California, Davis, Department of Economics.
    6. Marco Faravelli & Randall Walsh, 2011. "Smooth Politicians And Paternalistic Voters: A Theory Of Large Elections," Levine's Working Paper Archive 786969000000000250, David K. Levine.
    7. Hank C. Jenkins-Smith & Neil J. Mitchell & Kerry G. Herron, 2004. "Foreign and Domestic Policy Belief Structures in the U.S. and British Publics," Journal of Conflict Resolution, Peace Science Society (International), vol. 48(3), pages 287-309, June.
    8. Eric Kaufmann & Henry Patterson, 2006. "Intra‐Party Support for the Good Friday Agreement in the Ulster Unionist Party," Political Studies, Political Studies Association, vol. 54(3), pages 509-532, October.
    9. Micael Castanheira, 2003. "Why Vote For Losers?," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1207-1238, September.
    10. Peter J. Coughlin, 2015. "Probabilistic voting in models of electoral competition," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 13, pages 218-234, Edward Elgar Publishing.
    11. Mihir Bhattacharya, 2019. "Constitutionally consistent voting rules over single-peaked domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 225-246, February.
    12. Marc Henry & Ismael Mourifié, 2013. "Euclidean Revealed Preferences: Testing The Spatial Voting Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 650-666, June.
    13. , & ,, 2006. "Group formation and voter participation," Theoretical Economics, Econometric Society, vol. 1(4), pages 461-487, December.
    14. Dendi Ramdani & Arjen Witteloostuijn, 2012. "The Shareholder–Manager Relationship and Its Impact on the Likelihood of Firm Bribery," Journal of Business Ethics, Springer, vol. 108(4), pages 495-507, July.
    15. Alan E. Wiseman, 2006. "A Theory of Partisan Support and Entry Deterrence in Electoral Competition," Journal of Theoretical Politics, , vol. 18(2), pages 123-158, April.
    16. Alessandro Olper & Johan Swinnen, 2013. "Mass Media and Public Policy: Global Evidence from Agricultural Policies," The World Bank Economic Review, World Bank, vol. 27(3), pages 413-436.
    17. Armèn Hakhverdian, 2009. "Capturing Government Policy on the Left–Right Scale: Evidence from the United Kingdom, 1956–2006," Political Studies, Political Studies Association, vol. 57(4), pages 720-745, December.
    18. Sven Banisch & Eckehard Olbrich, 2021. "An Argument Communication Model of Polarization and Ideological Alignment," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 24(1), pages 1-1.
    19. Robbett, Andrea & Matthews, Peter Hans, 2018. "Partisan bias and expressive voting," Journal of Public Economics, Elsevier, vol. 157(C), pages 107-120.
    20. Peter Nijkamp & Marc van der Burch & Gabriella Vindigni, 2002. "A Comparative Institutional Evaluation of Public-Private Partnerships in Dutch Urban Land-use and Revitalisation Projects," Urban Studies, Urban Studies Journal Limited, vol. 39(10), pages 1865-1880, September.

    More about this item

    Keywords

    Contraction consistency;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ash:wpaper:96. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ashoka University (email available below). General contact details of provider: https://www.ashoka.edu.in .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.