Dividing the Indivisible: Procedures for Allocating Cabinet Ministries to Political Parties in a Parliamentary System
Political parties in Northern Ireland recently used a divisor method of apportionment to choose, in sequence, ten cabinet ministries. If the parties have complete information about each others' preferences, we show that it may not be rational for them to act sincerely by choosing their most-preferred ministry that is available. One consequence of acting sophisticatedly is that the resulting allocation may not be Pareto-optimal, making all the parties worse off. Another is nonmonotonicty—choosing earlier may hurt rather than help a party. We introduce a mechanism that combines sequential choices with a structured form of trading that results in sincere choices for two parties. Although there are difficulties in extending this mechanism to more than two parties, other approaches are explored, such as permitting parties to making consecutive choices not prescribed by an apportionment method. But certain problems, such as eliminating envy, remain.
|Date of creation:||Sep 2002|
|Date of revision:|
|Contact details of provider:|| Postal: Streatham Court, Rennes Drive, Exeter EX4 4PU|
Phone: (01392) 263218
Fax: (01392) 263242
Web page: http://business-school.exeter.ac.uk/about/departments/economics/
More information through EDIRC
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.:
- Friedrich Pukelsheim & Albert W. Marshall & Ingram Olkin, 2002. "A majorization comparison of apportionment methods in proportional representation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 885-900.
- Brams, S.J. & Fishburn, P.C., 1998.
"Fair Division of Indivisible Items between Two People with Identical Preferences: Envy-Freeness, Pareto-Optimality, and Equity,"
98-20, C.V. Starr Center for Applied Economics, New York University.
- Steven J. Brams & Peter C. Fishburn, 2000. "Fair division of indivisible items between two people with identical preferences: Envy-freeness, Pareto-optimality, and equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 247-267.
- Carmignani, Fabrizio, 2001. "Cabinet Formation in Coalition Systems," Scottish Journal of Political Economy, Scottish Economic Society, vol. 48(3), pages 313-29, August.
- Brams, S. J. & Eldelman, P. H. & Fishburn, P. C., 2000.
"Fair Division of Indivisible Items,"
00-15, C.V. Starr Center for Applied Economics, New York University.
- Dorothea Herreiner & Clemens Puppe, 2002. "A simple procedure for finding equitable allocations of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(2), pages 415-430.
- Edelman, Paul & Fishburn, Peter, 2001. "Fair division of indivisible items among people with similar preferences," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 327-347, May.
- Warwick, Paul V. & Druckman, James N., 2001. "Portfolio Salience and the Proportionality of Payoffs in Coalition Governments," British Journal of Political Science, Cambridge University Press, vol. 31(04), pages 627-649, October.
When requesting a correction, please mention this item's handle: RePEc:exe:wpaper:0202. 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: (Carlos Cortinhas)
If references are entirely missing, you can add them using this form.