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

De Donder, Philippe, Le Breton, Michel and Peluso, Eugenio (2012) Majority Voting in Multidimensional Policy Spaces: Kramer-Shepsle versus Stackelberg. Journal Of Public Economic Theory, 14 (6). pp. 879-909.

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Official URL: http://tse-fr.eu/pub/26750

Abstract

We study majority voting over a bidimensional policy space when the voters’ type space is either uni- or bidimensional. We 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 for example 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.

Item Type: Article
Language: English
Date: December 2012
Refereed: Yes
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 09 Jul 2014 17:32
Last Modified: 19 Jul 2018 14:51
OAI ID: oai:tse-fr.eu:26750
URI: http://publications.ut-capitole.fr/id/eprint/15494

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