This note is devoted to the question: How restrictive is the assumption that preferences be Euclidean in d dimensions. In particular it is proven that a preference profile with I individuals and A alternatives can be represented by Euclidean utilities with d dimensions if and only if d=min(I,A-1). The paper also describes the systems of A points which allow for the representation of any profile over A alternatives, and provides some results when only strict preferences are considered.
|Date of creation:||2004|
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|Note:||View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00242941|
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01-06, C.V. Starr Center for Applied Economics, New York University.
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- Milyo, Jeffrey, 2000.
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- Jeffrey Milyo, 1999. "A Problem with Euclidean Preferences in Spatial Models of Politics," Discussion Papers Series, Department of Economics, Tufts University 9920, Department of Economics, Tufts University.
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