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The Geometry of Multidimensional Quadratic Utility in Models of Parliamentary Roll Call Voting

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  • Poole, Keith T.

Abstract

The purpose of this paper is to show how the geometry of the quadratic utility function in the standard spatial model of choice can be exploited to estimate a model of parliamentary roll call voting. In a standard spatial model of parliamentary roll call voting, the legislator votes for the policy outcome corresponding to Yea if her utility for Yea is greater than her utility for Nay. The voting decision of the legislator is modeled as a function of the difference between these two utilities. With quadratic utility, this difference has a simple geometric interpretation that can be exploited to estimate legislator ideal points and roll call parameters in a standard framework where the stochastic portion of the utility function is normally distributed. The geometry is almost identical to that used by Poole (2000) to develop a nonparametric unfolding of binary choice data and the algorithms developed by Poole (2000) can be easily modified to implement the standard maximum-likelihood model.

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  • Poole, Keith T., 2001. "The Geometry of Multidimensional Quadratic Utility in Models of Parliamentary Roll Call Voting," Political Analysis, Cambridge University Press, vol. 9(3), pages 211-226, January.
    • Handle: RePEc:cup:polals:v:9:y:2001:i:03:p:211-226_00
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    Cited by:

    1. de Leeuw, Jan, 2006. "Principal component analysis of binary data by iterated singular value decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 50(1), pages 21-39, January.
    2. Tom Blockmans & Marie-Anne Guerry, 2015. "Probabilistic Spatial Power Indexes: The Impact of Issue Saliences and Distance Selection," Group Decision and Negotiation, Springer, vol. 24(4), pages 675-697, July.
    3. Richard F. Potthoff, 2018. "Estimating Ideal Points from Roll-Call Data: Explore Principal Components Analysis, Especially for More Than One Dimension?," Social Sciences, MDPI, vol. 7(1), pages 1-27, January.
    4. Keith Poole, 2007. "Changing minds? Not in Congress!," Public Choice, Springer, vol. 131(3), pages 435-451, June.
    5. Samuel K. ALLEN, 2015. "Struggle for Regulatory Power between States and the US Federal Government: The Case of Workers’ Compensation Insurance 1930-2000," Journal of Economics and Political Economy, KSP Journals, vol. 2(3), pages 351-373, September.

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