1,720,965 research outputs found
The Paretian Theory of Ophelimity in Closed and Open Cycles. A Commentary
No full textIn this note we present some observations on the topics developed by Montesano in his paper "The Paretian Theory of Ophelimity in Closed and Open Cycles"; furthermore, we give an alternative proof of the Paretian theorem on the measurability of elementary ophelimities
Esistenza di una sotto-corrispondenza di domanda semi-continua superiormente e a valori convessi
No full textWorking pape
Costruzione di una funzione di utilità tramite integrazione della funzione di domanda
No full textIt is well-known that, if the Slutsky matrix is symmetric and negative semi-definite, a utility function can be obtained by integration of the inverse demand function. Symmetry of the Slutsky matrix is equivalent to mathematical integrability, while negative semi-definiteness (which can be easily deduced from the weak axiom of revealed preference) guarantees that the integral of the inverse demand function is in fact a utility function. However, this result depends strictly on the existence of the inverse demand function, i.e. on the uniqueness of the price-income pair whereby a commodity bundle is demanded. In this work, we remove this uniqueness property and we prove alternatively the existence of a utility function by integration of the direct demand function, which is assumed continuous but not necessarily differentiable. More precisely, we suppose that such an integral exists and we show (according to the so-called envelope theorem) that this function is an indirect utility function for the consumer if and only if the weak axiom of revealed preference holds; the direct utility function can be easily deduced from this indirect function in a standard way
Order of consumption and measurability of utility
No full textIn 1906 Pareto expounded for the first time his theory of non-closed cycles and of the order of consumption, which he closely connected with the lack of integrability of the demand function. Pareto maintained that when total utility depends on the temporal path followed in consumption, while marginal utilities do not depend on it, it is possible to measure the utility itself: i.e., the consumer’s utility function which verifies the aforementioned property is unique except for a linear increasing transformation. Unfortunately, the proof of this theorem contained in the 1906 article is wrong: during the demonstration Pareto implicitly supposes that the order of consumption is immaterial. A correct, albeit incomplete, proof is contained in the mathematical appendix of the Manuel (1909). In this work we will reformulate the Paretian theory of the order of consumption and we will present an alternative proof of the aforementioned theorem
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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