Egalitarianism under population change: Age structure does matter

Boucekkine, Raouf; Fabbri, Giorgio; Gozzi, Fausto

doi:10.1016/j.jmateco.2014.10.007

Cited by 18 publications

(16 citation statements)

References 26 publications

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“…So, for a given amount of initial aggregate capital, welfare will be 17 Wildasin (1986) proposes to switch to Rawlsian planners to get rid of "unequal treatment of equals" (see also Fujita and Thisse, 2002, Chapter 3). However, as shown by Boucekkine et al (2014) in a non-spatial dynamic model, the Benthamite planner can be egalitarian if she is allowed to choose population size.…”

Section: Main Analytical Resultsmentioning

confidence: 99%

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Growth and agglomeration in the heterogeneous space: a generalized AK approach

Boucekkine

Fabbri

Federico

et al. 2018

Journal of Economic Geography

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We provide an optimal growth spatio-temporal setting with capital accumulation and diffusion across space to study the link between economic growth triggered by capital spatio-temporal dynamics and agglomeration across space. The technology is AK, K being broad capital. The social welfare function is Benthamite. In sharp contrast to the related literature, which considers homogeneous space, we derive optimal location outcomes for any given space distributions for technology and population. Both the transitional spatio-temporal dynamics and the asymptotic spatial distributions are computed in closed form. Concerning the latter, we find, among other results, that: (i) due to inequality aversion, the consumption per capital distribution is much flatter than the distribution of capital per capita; (ii) endogenous spillovers inherent in capital spatio-temporal dynamics occur as capital distribution is much less concentrated than the (pre-specified) technological distribution; (iii) the distance to the center (or to the core) is an essential determinant of the shapes of the asymptotic distributions, that is relative location matters.

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Section: Main Analytical Resultsmentioning

confidence: 99%

“…7 This feature is shared with the Alonso-Mills-Muth model. 8Boucekkine et al (2014) prove in a non spatial setting that when age structure matters, typically when lifetime is finite, and when the social planner chooses the optimal population size, the Benthamite social welfare function does ensure egalitarianism in consumption per capita across generations!…”

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confidence: 99%

Growth and agglomeration in the heterogeneous space: a generalized AK approach

Boucekkine

Fabbri

Federico

et al. 2018

Journal of Economic Geography

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“…Another analytical tool, also used in this issue (see Boucekkine et al [28]), is the dynamic programming approach as advocated by Barucci and Gozzi [17] and Fabbri and Gozzi [44] in different infinite-dimensional optimal control problems (with state equations governed by first-order PDEs and delay differential equations, respectively). See also a more recent application to the optimal population size problem by Boucekkine et al [27]. In all these cases, one has first to rewrite the original infinite-dimensional problem as an optimal control problem driven by an ODE in a suitable functional (Hilbert) space, following Bensoussan et al [24].…”

Section: Hamilton-jacobi-bellman Equationmentioning

confidence: 99%

Distributed optimal control models in environmental economics: a review

Augeraud-Véron¹,

Boucekkine²,

Veliov³

2019

Math. Model. Nat. Phenom.

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We review the most recent advances in distributed optimal control applied to Environmental Economics, covering in particular problems where the state dynamics are governed by partial differential equations (PDEs). This is a quite fresh application area of distributed optimal control, which has already suggested several new mathematical research lines due to the specificities of the Environmental Economics problems involved. We enhance the latter through a survey of the variety of themes and associated mathematical structures beared by this literature. We also provide a quick tour of the existing tools in the theory of distributed optimal control that have been applied so far in Environmental Economics.

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“…In economic growth models with endogenous population growth, each generation faces a tradeoff between higher consumption levels and population growth because child-rearing is costly. For example, in the model of Boucekkine et al (2011Boucekkine et al ( , 2014, the output of the consumption good is partly devoted to raising children. Thus, in such a model, if both u ∈ N −− and v ∈ N ++ are feasible, then, by (16), the total resources used to yield the heads of v are larger than those for u, and thus, we may find another feasible stream w of utility vectors such that w P * O u (or w P * C u).…”

Section: Avoidance Of the Weak Repugnant Conclusionmentioning

confidence: 99%

“…For intergenerational problems where demographic changes across generations matter, such as for the design of a population policy to reverse a declining birthrate, the population size of each generation needs to be considered. The relationship between population growth and economic growth is one of the issues studied in economic growth theory, and an optimal population size is analyzed through economic growth models with endogenous population growth (e.g., Boucekkine and Fabbri 2013;Boucekkine et al 2011Boucekkine et al , 2014Palivos and Yip 1993;Razin and Yuen 1995). These models define an optimality criterion for infinite streams of finite-and variabledimensional utility vectors and are, therefore, not amenable to evaluation relations for infinite utility streams.…”

Section: Introductionmentioning

confidence: 99%

Infinite-horizon social evaluation with variable population size

Kamaga

2016

Soc Choice Welf

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We present an infinite-horizon extension of the framework of variablepopulation social choice. Our first main result is the welfarism theorem using the axiom of intratemporal anonymity. By this theorem, the ranking of social alternatives is determined by an intratemporally anonymous and finitely complete quasi-ordering [which we call social welfare relation (SWR)] defined on the set of all streams of utility vectors of generations. We introduce three SWRs: the critical-level generalized utilitarian (CLGU) SWR, the critical-level generalized overtaking (CLGO) SWR, and the critical-level generalized catching-up (CLGC) SWR. They are infinite-horizon extensions of the critical-level generalized utilitarianism. We characterize (in terms of subrelation) the CLGU SWR with five axioms: Strong Pareto, Finite Anonymity, Weak Existence of Critical Levels, Restricted Continuity, and Existence Independence. Further, the CLGO and the CLGC SWRs are characterized by adding consistency axioms. We also present infinite-horizon reformulations of some population ethics axioms. In particular, we characterize the CLGO and the CLGC SWRs associated with a positive critical level by using the axiom of avoidance of the repugnant conclusion.

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Egalitarianism under population change: Age structure does matter

Cited by 18 publications

References 26 publications

Growth and agglomeration in the heterogeneous space: a generalized AK approach

Growth and agglomeration in the heterogeneous space: a generalized AK approach

Distributed optimal control models in environmental economics: a review

Infinite-horizon social evaluation with variable population size

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