Easter Island’s collapse: A tale of a population race
AbstractWe study different extended formulations for the set (formule) in order to tackle the feasibility problem for the set (formule). Here the goal is not to ﬁnd an improved polyhedral relaxation of conv(X+), but rather to reformulate in such a way that the new variables introduced provide good branching directions, and in certain circumstances permit one to deduce rapidly that the instance is infeasible. For the case that A has one row a we analyze the reformulations in more detail. In particular, we determine the integer width of the extended formulations in the direction of the last coordinate, and derive a lower bound on the Frobenius number of a. We also suggest how a decomposition of the vector a can be obtained that will provide a useful extended formulation. Our theoretical results are accompanied by a small computational study.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2007001.
Date of creation: 01 Jan 2007
Date of revision:
Contact details of provider:
Postal: Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium)
Fax: +32 10474304
Web page: http://www.uclouvain.be/core
More information through EDIRC
fertility; war; bargaining power; collapse; natural resources.;
Other versions of this item:
- David Croix & Davide Dottori, 2008. "Easter Island’s collapse: a tale of a population race," Journal of Economic Growth, Springer, vol. 13(1), pages 27-55, March.
- DE LA CROIX, David & DOTTORI, Davide, . "Easter Island's collapse: a tale of a population race," CORE Discussion Papers RP -2062, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- David, DE LA CROIX & Davide, DOTTORI, 2007. "Easter Island’s Collapse : A Tale of a Population Race," Discussion Papers (ECON - DÃ©partement des Sciences Economiques) 2007005, Université catholique de Louvain, Département des Sciences Economiques.
- J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
- O13 - Economic Development, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
- J52 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Dispute Resolution: Strikes, Arbitration, and Mediation
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Pezzey, John C. V. & Anderies, John M., 2003.
"The effect of subsistence on collapse and institutional adaptation in population-resource societies,"
Journal of Development Economics,
Elsevier, vol. 72(1), pages 299-320, October.
- John C. V. Pezzey & John M. Anderies, 2002. "The Effect of Subsistence on Collapse and Institutional Adaptation in Population-resource Societies," Economics and Environment Network Working Papers 0201, Australian National University, Economics and Environment Network.
- Münster, Johannes & Staal, Klaas, 2005. "War with Outsiders Makes Peace Inside," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 75, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Barro, Robert J., 1974.
"Are Government Bonds Net Wealth?,"
3451399, Harvard University Department of Economics.
- Maxwell, John W. & Reuveny, Rafael, 2005.
Journal of Economic Behavior & Organization,
Elsevier, vol. 58(1), pages 30-52, September.
- Ehrlich, Isaac & Lui, Francis T, 1991. "Intergenerational Trade, Longevity, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1029-59, October.
- Hirshleifer, Jack, 1991. "The Technology of Conflict as an Economic Activity," American Economic Review, American Economic Association, vol. 81(2), pages 130-34, May.
- Reuveny, Rafael & Decker, Christopher S., 2000. "Easter Island: historical anecdote or warning for the future?," Ecological Economics, Elsevier, vol. 35(2), pages 271-287, November.
- D'Alessandro, Simone, 2007. "Non-linear dynamics of population and natural resources: The emergence of different patterns of development," Ecological Economics, Elsevier, vol. 62(3-4), pages 473-481, May.
- Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
- Pierre Lasserre & Antoine Soubeyran, 2001.
"A Ricardian Model of the tragedy of the Commons,"
Cahiers de recherche du DÃ©partement des sciences Ã©conomiques, UQAM
20-01, Université du Québec à Montréal, Département des sciences économiques.
- Brander, James A & Taylor, M Scott, 1998. "The Simple Economics of Easter Island: A Ricardo-Malthus Model of Renewable Resource Use," American Economic Review, American Economic Association, vol. 88(1), pages 119-38, March.
- R. Morris Coats & Thomas R. Dalton, 2000. "Could institutional reform have saved Easter Island?," Journal of Evolutionary Economics, Springer, vol. 10(5), pages 489-505.
- Grossman, Herschel I & Kim, Minseong, 1995. "Swords or Plowshares? A Theory of the Security of Claims to Property," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1275-88, December.
- Skaperdas, Stergios, 1996.
"Contest Success Functions,"
Springer, vol. 7(2), pages 283-90, February.
- Nils-Petter Lagerlöf, 2006. "The Galor-Weil Model Revisited: A Quantitative Exercise," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 116-142, January.
- Dalton, Thomas R. & Coats, R. Morris & Asrabadi, Badiollah R., 2005. "Renewable resources, property-rights regimes and endogenous growth," Ecological Economics, Elsevier, vol. 52(1), pages 31-41, January.
- Anderies, John M., 2000. "On modeling human behavior and institutions in simple ecological economic systems," Ecological Economics, Elsevier, vol. 35(3), pages 393-412, December.
- Jon D. Erickson & John M. Gowdy, 2000. "Resource Use, Institutions, and Sustainability: A Tale of Two Pacific Island Cultures," Land Economics, University of Wisconsin Press, vol. 76(3), pages 345-354.
- Harford, Jon D., 2000. "Methods of pricing common property use and some implications for optimal child-bearing and the social discount rate," Resource and Energy Economics, Elsevier, vol. 22(2), pages 103-124, May.
This item has more than 25 citations. To prevent cluttering this page, these citations are listed on a separate page. reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alain GILLIS).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.