Preseparable Extensions of Multidimensional Preferences
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- Hodge, J.K., Krines, M. & Lahr, J. Order (2009) 26: 125. doi:10.1007/s11083-009-9112-1
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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.