IDEAS home Printed from https://ideas.repec.org/p/ide/wpaper/21845.html
   My bibliography  Save this paper

Majority Voting in Multidimensional Policy Spaces: Kramer-Shepsle versus Stackelberg

Author

Listed:
  • De Donder, Philippe
  • Le Breton, Michel
  • Peluso, Eugenio

Abstract

We study majority voting over a bidimensional policy space when the voters' type space is either uni- or bidimensional. We show that a Condorcet winner fails to generically exist even with a unidimensional type space. We then study two voting procedures widely used in the literature. The Stackelberg (ST) procedure assumes that votes are taken one dimension at a time according to an exogenously specified sequence. The Kramer-Shepsle (KS) procedure also assumes that votes are taken separately on each dimension, but not in a sequential way. A vector of policies is a Kramer-Shepsle equilibrium if each component coincides with the majority choice on this dimension given the other components of the vector. We study the existence and uniqueness of the ST and KS equilibria, and we compare them, looking e.g. at the impact of the ordering of votes for ST and identifying circumstances under which ST and KS equilibria coincide. In the process, we state explicitly the assumptions on the utility function that are needed for these equilibria to be well behaved. We especially stress the importance of single crossing conditions, and we identify two variants of these assumptions: a marginal version that is imposed on all policy dimensions separately, and a joint version whose definition involves both policy dimensions.

Suggested Citation

  • De Donder, Philippe & Le Breton, Michel & Peluso, Eugenio, 2010. "Majority Voting in Multidimensional Policy Spaces: Kramer-Shepsle versus Stackelberg," IDEI Working Papers 593, Institut d'Économie Industrielle (IDEI), Toulouse.
  • Handle: RePEc:ide:wpaper:21845
    as

    Download full text from publisher

    File URL: http://idei.fr/sites/default/files/medias/doc/wp/2010/pdd_kramer_0110.pdf
    File Function: Full text
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Nechyba, Thomas J, 1997. "Local Property and State Income Taxes: The Role of Interjurisdictional Competition and Collusion," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 351-384, April.
    2. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
    3. John Duggan, "undated". "Non-Cooperative Games Among Groups," Wallis Working Papers WP21, University of Rochester - Wallis Institute of Political Economy.
    4. repec:hrv:faseco:4553034 is not listed on IDEAS
    5. Helmuth Cremer & Philippe De Donder & Firouz Gahvari, 2004. "Taxes, Budgetary Rule and Majority Voting," Public Choice, Springer, vol. 119(3_4), pages 335-358, June.
    6. B. D. Bernheim & S. N. Slavov, 2009. "A Solution Concept for Majority Rule in Dynamic Settings," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 33-62.
    7. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2005. "Transfers in a polarized country: bridging the gap between efficiency and stability," Journal of Public Economics, Elsevier, vol. 89(7), pages 1277-1303, July.
    8. Filippo Gregorini, 2007. "Political Geography and Income Inequalities," DISCE - Quaderni dell'Istituto di Teoria Economica e Metodi Quantitativi itemq0746, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    9. Alberto Alesina & Reza Baqir & William Easterly, 1999. "Public Goods and Ethnic Divisions," The Quarterly Journal of Economics, Oxford University Press, vol. 114(4), pages 1243-1284.
    10. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2006. "Social choice and electoral competition in the general spatial model," Journal of Economic Theory, Elsevier, vol. 126(1), pages 194-234, January.
    11. Diba, Behzad & Feldman, Allan M., 1984. "Utility functions for public outputs and majority voting," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 235-243, November.
    12. Gregorini, Filippo, 2015. "Political geography and income inequalities," Research in Economics, Elsevier, vol. 69(3), pages 439-452.
    13. Sadanand, Asha B & Williamson, John M, 1991. "Equilibrium in a Stock Market Economy with Shareholder Voting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(1), pages 1-35, February.
    14. Alberto Alesina & Reza Baqir & Caroline Hoxby, 2004. "Political Jurisdictions in Heterogeneous Communities," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 348-396, April.
    15. Carlo Perroni & Kimberley A. Scharf, 2001. "Tiebout with Politics: Capital Tax Competition and Constitutional Choices," Review of Economic Studies, Oxford University Press, vol. 68(1), pages 133-154.
    16. Filippo Gregorini, 2009. "Political Geography and Income Inequalities," Working Papers 152, University of Milano-Bicocca, Department of Economics, revised Feb 2009.
    17. De Donder, Philippe & Hindriks, Jean, 1998. "The Political Economy of Targeting," Public Choice, Springer, vol. 95(1-2), pages 177-200, April.
    18. Federico Etro, 2006. "Political geography," Public Choice, Springer, vol. 127(3), pages 321-343, June.
    19. Davis, Otto A & DeGroot, Morris H & Hinich, Melvin J, 1972. "Social Preference Orderings and Majority Rule," Econometrica, Econometric Society, vol. 40(1), pages 147-157, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gregorini, Filippo, 2015. "Political geography and income inequalities," Research in Economics, Elsevier, vol. 69(3), pages 439-452.
    2. Russo, Antonio, 2013. "Voting on road congestion policy," Regional Science and Urban Economics, Elsevier, vol. 43(5), pages 707-724.
    3. Alesina, Alberto & Passarelli, Francesco, 2014. "Regulation versus taxation," Journal of Public Economics, Elsevier, vol. 110(C), pages 147-156.
    4. Kirill Borissov & Joseph Hanna & Stephane Lambrecht, 2014. "Public Goods, Voting, and Growth," EUSP Department of Economics Working Paper Series Ec-01/14, European University at St. Petersburg, Department of Economics.
    5. Masciandaro, Donato & Passarelli, Francesco, 2013. "Financial systemic risk: Taxation or regulation?," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 587-596.
    6. Borissov, Kirill & Pakhnin, Mikhail & Puppe, Clemens, 2017. "On discounting and voting in a simple growth model," European Economic Review, Elsevier, vol. 94(C), pages 185-204.
    7. Carlos Bethencourt & Lars Kunze, 2015. "The political economics of redistribution, inequality and tax avoidance," Public Choice, Springer, vol. 163(3), pages 267-287, June.
    8. Klaus Schmidt-Hebbel & José Carlos Tello, 2014. " The Political Economy of Growth, Inequality, the Size and Composition of Government Spending," Documentos de Trabajo / Working Papers 2014-380, Departamento de Economía - Pontificia Universidad Católica del Perú.
    9. Bellani, Luna & Scervini, Francesco, 2015. "Heterogeneous preferences and in-kind redistribution: Theory and evidence," European Economic Review, Elsevier, vol. 78(C), pages 196-219.
    10. Philippe De Donder & Michel Le Breton & Eugenio Peluso, 2012. "On the (sequential) majority choice of public good size and location," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 457-489, July.
    11. Sascha Kurz & Nicola Maaser & Stefan Napel & Matthias Weber, 2014. "Mostly Sunny: A Forecast of Tomorrow's Power Index Research," Tinbergen Institute Discussion Papers 14-058/I, Tinbergen Institute.

    More about this item

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ide:wpaper:21845. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (). General contact details of provider: http://edirc.repec.org/data/idtlsfr.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.