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Alcalde Unzu, Jorge

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Alcalde Unzu

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Jorge

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Economía

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INARBE. Institute for Advanced Research in Business and Economics

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0000-0003-1839-6245

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4338

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Now showing 1 - 9 of 9
  • PublicationOpen Access
    Sharing the costs of cleaning a river: the Upstream Responsibility rule
    (Elsevier, 2015) Alcalde Unzu, Jorge; Gómez Rúa, María; Molis Bañales, Elena; Economía; Ekonomia
    The cleaning up of waste present in transboundary rivers, which requires the cooperation of different authorities, is a problematic issue, especially when responsibility for the discharge of the waste is not well-defined. Following Ni and Wang (2007) we assume that a river is a segment divided into several regions from upstream to downstream. We show that when the transfer rate of the waste is unknown, the clean-up cost vector provides useful information for estimating some limits in regard to the responsibility of each region. We propose a cost allocation rule, the Upstream Responsibility rule, which takes into account these limits in distributing costs “fairly” and we provide an axiomatic characterization of this rule via certain properties based on basic ideas concerning the responsibility of regions.
  • PublicationOpen Access
    Measuring the cohesiveness of preferences: an axiomatic analysis
    (Springer Berlin Heidelberg, 2013) Alcalde Unzu, Jorge; Vorsatz, Marc; Economía; Ekonomia
    In this paper, we axiomatically study how to measure the similarity of preferences in a group of individuals. For simplicity, we refer to this as the cohesiveness. First, we provide axioms that characterize a family of linear and additive measures whose intersection is a partial ordinal criterion similar to first order stochastic dominance. The introduction of some additional properties isolates a one-parameter subfamily. This parameter evaluates the effect on the cohesiveness if one individual changes his ranking on a single pair of objects, as a function of how many of the remaining individuals in the group rank the first object over the second and vice versa. Finally, we characterize the focal measures of this subfamily separately showing that they coincide with measures constructed using two, at first sight, totally different approaches suggested in the literature.
  • PublicationOpen Access
    Strategy-proof location of public facilities
    (Elsevier, 2018) Alcalde Unzu, Jorge; Vorsatz, Marc; Economía; Ekonomia
    Consider the problem of locating a public facility taking into account the agents' preferences. To construct strategy-proof social choice rules, we propose a new preference domain that allows agents to have any single-peaked or any single-dipped preference on the location of the facility such that the peak/dip of the preference is in her own location. We characterize all strategy-proof rules in this general framework and study the conditions under which this family of strategy-proof rules includes non-dictatorial rules that have more than two alternatives in the range or that are Pareto efficient. Finally, we characterize for some focal cases all strategy-proof and Pareto efficient rules.
  • PublicationOpen Access
    Allocating the costs of cleaning a river: expected responsibility versus median responsibility
    (Springer, 2020) Alcalde Unzu, Jorge; Gómez Rúa, María; Molis Bañales, Elena; Economía; Ekonomia
    We consider the problem of cleaning a transboundary river, proposed by Ni and Wang (Games Econ Behav 60:176–186, 2007). A river is modeled as a segment divided into subsegments, each occupied by one region, from upstream to downstream. The waste is transferred from one region to the next at some rate. Since this transfer rate may be unknown, the social planner could have uncertainty over each region’s responsibility. Two natural candidates to distribute the costs in this setting would be the method that assigns to each region its expected responsibility and the one that assigns to each region its median responsibility. We show that the latter is equivalent to the Upstream Responsibility method (Alcalde-Unzu et al. in Games Econ Behav 90:134–150, 2015) and the former is a new method that we call Expected Responsibility. We compare both solutions and analyze them in terms of a new property of monotonicity.
  • PublicationOpen Access
    Sharing the costs of cleaning a river: the upstream responsibility rule
    (2013) Alcalde Unzu, Jorge; Gómez Rúa, María; Molis Bañales, Elena; Economía; Ekonomia
    The cleaning up of waste present in transboundary rivers, which requires the cooperation of different authorities, is a problematic issue, especially when responsibility for the discharge of the waste is not well-defined. Following Ni and Wang [12] we assume that a river is a segment divided into several regions from upstream to downstream. We show that when the transfer rate of the waste is unknown, the clean-up cost vector provides useful information for estimating some limits in regard to the responsibility of ach region. We propose a cost allocation rule, the Upstream Responsibility rule, which takes into account these limits in distributing costs 'fairly' and we provide an axiomatic characterization of this rule via certain properties based on basic ideas concerning the responsibility of regions.
  • PublicationOpen Access
    Uncertainty with ordinal likelihood information
    (Springer-Verlag, 2013) Alcalde Unzu, Jorge; Arlegi Pérez, Ricardo; Ballester Oyarzun, Miguel Ángel; Economía; Ekonomia
    We present a model that is closely related to the so-called models of choice under complete uncertainty, in which the agent has no information about the probability of the outcomes. There are two approaches within the said models: the state space-based approach, which takes into account the possible states of nature and the correspondence between states and outcomes; and the set-based approach, which ignores such information, and solves certain difficulties arising from the state space-based approach. Kelsey (Int Econ Rev 34:297–308, 1993) incorporates into a state space-based framework the assumption that the agent has ordinal information about the likelihood of the states. This paper incorporates this same assumption into a set-based framework, thus filling a theoretical gap in the literature. Compared to the set-based models of choice under complete uncertainty we introduce the information about the ordinal likelihood of the outcomes while, compared to Kelsey’s approach, we incorporate the advantages of describing uncertainty environments from the set-based perspective. We present an axiomatic study that includes adaptations of some of the axioms found in the related literature and we characterize some rules featuring different combinations of information about the ordinal likelihood of the outcomes and information about their desirability.
  • PublicationOpen Access
    Strategy-proof location of public facilities
    (2015) Alcalde Unzu, Jorge; Vorsatz, Marc; Economía; Ekonomia
    Agents frequently have different opinions on where to locate a public facility. While some agents consider the facility a good and prefer to have it nearby, others dislike it and would like to see it built far away from their own locations. To aggregate agents' preferences in these situations, we propose a new preference domain according to which each agent is allowed to have single-peaked or single-dipped preferences on the location of the facility, but in such a way that the peak or dip is situated in her own location. We characterize all strategy-proof rules in this general framework and show that they are also group strategy-proof. Finally, we characterize for some focal cases the rules that additionally satisfy Pareto efficiency.
  • PublicationOpen Access
    An evolutionary model of prenatal and postnatal discrimination against females
    (Elsevier, 2020) Alcalde Unzu, Jorge; Echávarri Aguinaga, Rebeca; Husillos Carques, Francisco Javier; Economía; Ekonomia; Institute for Advanced Research in Business and Economics - INARBE
    Discrimination against born and unborn females is a well-documented phenomenon in countries such as India, China, Taiwan or Korea. Empirical studies support both additive and substitutive relationships between prenatal and postnatal discriminatory practices against females. We introduce a theoretical evolutionary model that endogenizes the preference for sons in a society, and consequently, can explain why one type of relationship or the other emerges in a society.
  • PublicationOpen Access
    Non-anonymous ballot aggregation: an axiomatic generalization of Approval Voting
    (Elsevier, 2013) Alcalde Unzu, Jorge; Vorsatz, Marc; Economía; Ekonomia
    We study axiomatically situations in which the society agrees to treat voters with different characteristics distinctly. In this setting, we propose a set of intuitive axioms and show that they jointly characterize a new class of voting procedures, called Type-weighted Approval Voting. According to this family, each voter has a strictly positive and finite weight (the weight is necessarily the same for all voters with the same characteristics) and the alternative with the highest number of weighted votes is elected. The implemented voting procedure reduces to Approval Voting in case all voters are identical or the procedure assigns the same weight to all types. Using this idea, we also obtain a new characterization of Approval Voting.