Abstract
Throughout much of the literature in economics and political science, the notion of separability provides a mechanism for characterizing interdependence within individual preferences over multiple dimensions. In this paper, we show how preseparable extensions can be used to construct certain classes of separable and non-separable preferences. We prove several associated combinatorial results, and we note a correspondence between separable preference orders, Boolean term orders, and comparative probability relations. We also mention several open questions pertaining to preseparable extensions and separable preferences.
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This work was partially supported by National Science Foundation grant DMS-0451254, which funds a Research Experience for Undergraduates program at Grand Valley State University. Portions of this paper are adapted from Hodge’s doctoral dissertation [4]. The authors wish to thank the referees and editor for their helpful comments and suggestions.
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Hodge, J.K., Krines, M. & Lahr, J. Preseparable Extensions of Multidimensional Preferences. Order 26, 125–147 (2009). https://doi.org/10.1007/s11083-009-9112-1
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DOI: https://doi.org/10.1007/s11083-009-9112-1