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Article: Demographic structure and overlapping generations: A simpler proof with more general conditions
Title | Demographic structure and overlapping generations: A simpler proof with more general conditions | ||||||
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Authors | |||||||
Keywords | Age-specific mortality Mean age function Overlapping-generations model Steady-state equilibrium | ||||||
Issue Date | 2010 | ||||||
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jmateco | ||||||
Citation | Journal Of Mathematical Economics, 2010, v. 46 n. 3, p. 311-319 How to Cite? | ||||||
Abstract | d'Albis (2007) considers a continuous-time general equilibrium overlapping-generations model with age-specific mortality rates. His proof of the existence and uniqueness of the steady-state equilibrium, which can be extended to other overlapping-generations models, relies on the shape of a function that appears in the equation defining the equilibrium. By focusing on the mean age as a function of the stable population growth rate instead of the function used in d'Albis (2007), we provide a simpler proof with more general conditions. We also obtain useful properties about the first and second derivatives of the mean age function that can be applied in future work. © 2009 Elsevier B.V. | ||||||
Persistent Identifier | http://hdl.handle.net/10722/129424 | ||||||
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.707 | ||||||
ISI Accession Number ID |
Funding Information: We are grateful to Hippolyte d'Albis, Chi-shing Chan, Ron Lee, Robert Willis and a referee for comments and suggestions. Lau thanks the Research Grants Council of Hong Kong (GRF project HKU7463/08H) and University Research Committee, University of Hong Kong (project 200707176113) for financial support. | ||||||
References | |||||||
Grants |
DC Field | Value | Language |
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dc.contributor.author | Gan, Z | en_HK |
dc.contributor.author | Lau, SHP | en_HK |
dc.date.accessioned | 2010-12-23T08:37:09Z | - |
dc.date.available | 2010-12-23T08:37:09Z | - |
dc.date.issued | 2010 | en_HK |
dc.identifier.citation | Journal Of Mathematical Economics, 2010, v. 46 n. 3, p. 311-319 | en_HK |
dc.identifier.issn | 0304-4068 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/129424 | - |
dc.description.abstract | d'Albis (2007) considers a continuous-time general equilibrium overlapping-generations model with age-specific mortality rates. His proof of the existence and uniqueness of the steady-state equilibrium, which can be extended to other overlapping-generations models, relies on the shape of a function that appears in the equation defining the equilibrium. By focusing on the mean age as a function of the stable population growth rate instead of the function used in d'Albis (2007), we provide a simpler proof with more general conditions. We also obtain useful properties about the first and second derivatives of the mean age function that can be applied in future work. © 2009 Elsevier B.V. | en_HK |
dc.language | eng | en_US |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jmateco | en_HK |
dc.relation.ispartof | Journal of Mathematical Economics | en_HK |
dc.rights | NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Mathematical Economics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Economics, 2010, v. 46 n. 3, p. 311-319. DOI: 10.1016/j.jmateco.2009.12.001 | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Age-specific mortality | en_HK |
dc.subject | Mean age function | en_HK |
dc.subject | Overlapping-generations model | en_HK |
dc.subject | Steady-state equilibrium | en_HK |
dc.title | Demographic structure and overlapping generations: A simpler proof with more general conditions | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0304-4068&volume=46&issue=3&spage=311&epage=319&date=2010&atitle=Demographic+structure+and+overlapping+generations:+A+simpler+proof+with+more+general+conditions | - |
dc.identifier.email | Lau, SHP: laushp@hkucc.hku.hk | en_HK |
dc.identifier.authority | Lau, SHP=rp01073 | en_HK |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1016/j.jmateco.2009.12.001 | en_HK |
dc.identifier.scopus | eid_2-s2.0-77951635287 | en_HK |
dc.identifier.hkuros | 177080 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77951635287&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 46 | en_HK |
dc.identifier.issue | 3 | en_HK |
dc.identifier.spage | 311 | en_HK |
dc.identifier.epage | 319 | en_HK |
dc.identifier.isi | WOS:000277060900004 | - |
dc.publisher.place | Netherlands | en_HK |
dc.relation.project | Economic Impact of Fertility and Mortality Changes: A Preliminary Investigation of the Economics of Aging | - |
dc.identifier.scopusauthorid | Gan, Z=35329617800 | en_HK |
dc.identifier.scopusauthorid | Lau, SHP=7401596159 | en_HK |
dc.identifier.citeulike | 6411587 | - |
dc.identifier.issnl | 0304-4068 | - |