Nieto Vázquez, Jorge
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Nieto Vázquez
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Jorge
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Economía
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Publication Open Access On the equivalence of the two existing extensions of the leximax criterion to the infinite case(2006) Arlegi Pérez, Ricardo; Ballester Oyarzun, Miguel Ángel; Besada, M.; Miguel Velasco, Juan Ramón de; Nieto Vázquez, Jorge; Vázquez, C.; Economía; EkonomiaUsing a common framework, we consider the two existing extensions of the leximax criterion to infinite environments (Arlegi et al. (2005) and Ballester and De Miguel (2003), and show that, though the respective definitions of the rules and their axiomatic characterizations appear to differ considerably, they actually propose the same extension of the leximax criterion to the infinite case.Publication Open Access Freedom of choice: the leximax criterion in the infinite case(2006) Arlegi Pérez, Ricardo; Besada, M.; Nieto Vázquez, Jorge; Vázquez, C.; Economía; EkonomiaMany recent works have investigated the problem of extending a preference over a set of alternatives to its power set, in an attempt to provide a formal representation of the notion of freedom of choice. In general, results are limited to the finite case, which excludes, for instance, the case of economic environments. This paper deals with the possibility of extending those results to the context where the basic set of alternatives is the n-dimensional Euclidean space. We present an extension of the leximax criterion described by Bossert, Pattanaik and Xu (1994) to this more general framework.Publication Open Access Freedom of choice: the leximax criterion in economic environments(2000) Arlegi Pérez, Ricardo; Besada, M.; Nieto Vázquez, Jorge; Vázquez, C.; Economía; EkonomiaMany recent works have investigated the question of extending a preference over a set of alternatives to its power set, as a way to provide a formal representation of the notion of freedom of choice. In general, the results are limited to the finite case, which excludes the case of economic environments. This paper deals with the possibility of extending those results to the context where the basic set of alternatives is the n-dimensional Euclidean space. We present an extension of the leximax criterion of Bossert, Pattanaik and Xu (1994) on this more general framework. This characterization result opens the possibility of application of the literature on freedom of choice to standard economic environments.Publication Open Access Equality of opportunities: cardinality-based criteria(1998) Arlegi Pérez, Ricardo; Nieto Vázquez, Jorge; Economía; EkonomiaIn this paper we study possible rankings of opportunity profiles. An opportunity profile is a list of sets of alternative opportunities, one set for each agent in the society. We compare such opportunity profiles on the basis of the notion of “equality of opportunities”. Our main results show the necessary and sufficient conditions for this comparison to be made using exclusively the information provided by two cardinal measures: the number of common alternatives for all sets in a given profile and/or the difference between the number of alternatives of individual sets. We also show that, under given circumstances, the only way to solve conflicts between these two numbers is to combine them in a lexicographic procedure.Publication Open Access Variable population egalitarian ethics and the critical-level: a note(2000) Arlegi Pérez, Ricardo; Ballester Oyarzun, Miguel Ángel; Nieto Vázquez, Jorge; Economía; EkonomiaThis paper explores the introduction of a variable critical-level in a variable population context. We focus the attention on the “Critical-Level Egalitarian Rule”, a social evaluation procedure which compares two social states as follows: (i) It reproduces the leximin criterion when applied to vectors of identical dimension and (ii) otherwise, it completes the small one with so many times a variable critical-level as to make the two vectors equal in size and applies the leximin criterion again. We prove that the use of a strict monotonic critical-level leads to the intransitivity of the social evaluation rule. This problem disappears when a weak monotonicity condition is required.