Interpersonal Comparisons of Utility: An Algebraic Characterization of Projective Preorders and Some Welfare Consequences
It is shown that any completely preordered topological real algebra admits a continuous utility representation which is an algebra-homomorphism (i.e., it is linear and multiplicative). As an application of this result, we provide an algebraic characterization of the projective (dictatorial) preorders defined on Rⁿ. We then establish some welfare implications derived from our main result. In particular, the connection with the normative property called independence of the relative utility pace is discussed.
|Date of creation:||Jan 2007|
|Date of revision:|
|Publication status:||published as 'Numerical representability or ordered topological spaces with compatible algebraic structure' in: Order, 2012, 29, 131-146|
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- Trockel, Walter, 1992. "An Alternative Proof for the Linear Utility Representation Theorem," Economic Theory, Springer, vol. 2(2), pages 298-302, April.
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- Candeal, J. C. & Indurain, E., 1995. "Homothetic and weakly homothetic preferences," Journal of Mathematical Economics, Elsevier, vol. 24(2), pages 147-158.
- Candeal-Haro, Juan Carlos & Indurain-Eraso, Esteban, 1995. "A Note on Linear Utility," Economic Theory, Springer, vol. 6(3), pages 519-22, November.
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