Easter Island’s collapse: A tale of a population race
We 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.
|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
References listed on IDEAS
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.:
- Hirshleifer, Jack, 1991.
"The Technology of Conflict as an Economic Activity,"
American Economic Review,
American Economic Association, vol. 81(2), pages 130-34, May.
- Jack Hirshleifer, 1990. "The Technology of Conflict as an Economic Activity," UCLA Economics Working Papers 597, UCLA Department of Economics.
- 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.
- 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.
- 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.
- Maxwell, John W. & Reuveny, Rafael, 2005.
Journal of Economic Behavior & Organization,
Elsevier, vol. 58(1), pages 30-52, September.
- 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.
- 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.
- 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.
- 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.
- 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.
- Pierre Lasserre & Antoine Soubeyran, 2001.
"A Ricardian Model of the tragedy of the Commons,"
Cahiers de recherche du Département des sciences économiques, UQAM
20-01, Université du Québec à Montréal, Département des sciences économiques.
- Skaperdas, Stergios, 1996.
"Contest Success Functions,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-90, February.
- 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.
- 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.
- Barro, Robert J., 1974.
"Are Government Bonds Net Wealth?,"
3451399, Harvard University Department of Economics.
- Jack Hirshleifer, 1992.
"Anarchy and Its Breakdown,"
UCLA Economics Working Papers
674, UCLA Department of Economics.
- F. H. Hahn, 1962. "The Stability of the Cournot Oligopoly Solution," Review of Economic Studies, Oxford University Press, vol. 29(4), pages 329-331.
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:cor:louvco:2007001. See general 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 references are entirely missing, you can add them using this form.