Majority Voting in Multidimensional Policy Spaces: Kramer-Shepsle versus Stackelberg
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.
|Date of creation:||Jan 2010|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: 44 - 20 - 7183 8801
Fax: 44 - 20 - 7183 8820
|Order Information:|| Email: |
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Alberto Alesina & Reza Baqir & William Easterly, 1997.
"Public Goods and Ethnic Divisions,"
NBER Working Papers
6009, National Bureau of Economic Research, Inc.
- Baqir, Reza & Easterly, William & Alesina, Alberto, 1999. "Public Goods and Ethnic Divisions," Scholarly Articles 4551797, Harvard University Department of Economics.
- Alesina, Alberto & Baqir, Reza & Easterly, William, 1999. "Public goods and ethnic divisions," Policy Research Working Paper Series 2108, The World Bank.
- Filippo Gregorini, 2009. "Political Geography and Income Inequalities," Working Papers 152, University of Milano-Bicocca, Department of Economics, revised Feb 2009.
- Hoxby, Caroline & Baqir, Reza & Alesina, Alberto, 2004.
"Political Jurisdictions in Heterogeneous Communities,"
4552532, Harvard University Department of Economics.
- 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.
- Alberto Alesina & Reza Baqir & Caroline Hoxby, 2002. "Political Jurisdictions in Heterogeneous Communities," Harvard Institute of Economic Research Working Papers 1949, Harvard - Institute of Economic Research.
- Alberto Alesina & Reza Baqir & Caroline Hoxby, 2000. "Political Jurisdictions in Heterogeneous Communities," NBER Working Papers 7859, National Bureau of Economic Research, Inc.
- Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
- 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.
- John Duggan, . "Non-Cooperative Games Among Groups," Wallis Working Papers WP21, University of Rochester - Wallis Institute of Political Economy.
- Thomas J. Nechyba, 1996.
"Local Property and State Income Taxes: The Role of Interjurisdictional Competition and Collusion,"
NBER Working Papers
5419, National Bureau of Economic Research, Inc.
- 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 351-84, April.
- repec:hrv:faseco:4553034 is not listed on IDEAS
- 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.
- Banks, Jeffrey & Duggan, John & Le Breton, Michel, 2003. "Social Choice and Electoral Competition in the General Spatial Model," IDEI Working Papers 188, Institut d'Économie Industrielle (IDEI), Toulouse.
- B. Douglas Bernheim & Sita Nataraj Slavov, 2007.
"A Solution Concept for Majority Rule in Dynamic Settings,"
07-029, Stanford Institute for Economic Policy Research.
- 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.
- De Donder, Philippe & Hindriks, Jean, 1998.
" The Political Economy of Targeting,"
Springer, vol. 95(1-2), pages 177-200, April.
- 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.
- Helmuth Cremer & Philippe De Donder & Firouz Gahvari, 2004. "Taxes, Budgetary Rule and Majority Voting," Public Choice, Springer, vol. 119(3_4), pages 335-358, 06.
- Perroni, Carlo & Scharf, Kimberly A, 2001.
"Tiebout with Politics: Capital Tax Competition and Constitutional Choices,"
Review of Economic Studies,
Wiley Blackwell, vol. 68(1), pages 133-54, January.
- Carlo Perroni & Kimberley A. Scharf, . "Tiebout with Politics: Capital Tax Competition and Constitutional Choices," EPRU Working Paper Series 97-05, Economic Policy Research Unit (EPRU), University of Copenhagen. Department of Economics.
- 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.
- Federico Etro, 2006. "Political geography," Public Choice, Springer, vol. 127(3), pages 321-343, June.
- Davis, Otto A & DeGroot, Morris H & Hinich, Melvin J, 1972. "Social Preference Orderings and Majority Rule," Econometrica, Econometric Society, vol. 40(1), pages 147-57, January.
- 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).
When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:7646. 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: ()The email address of this maintainer does not seem to be valid anymore. Please ask to update the entry or send us the correct address
If references are entirely missing, you can add them using this form.