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.
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- 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.
- 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.
- John W. Maxwell & Rafael Reuveny, 2004.
2004-27, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
- Pierre Lasserre & Antoine Soubeyran, 2001.
"A Ricardian Model of the Tragedy of the Commons,"
CIRANO Working Papers
- 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.
- Barro, Robert J, 1974.
"Are Government Bonds Net Wealth?,"
Journal of Political Economy,
University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
- Skaperdas, Stergios, 1996.
"Contest Success Functions,"
Springer, 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Hirshleifer, Jack, 1991. "The Technology of Conflict as an Economic Activity," American Economic Review, American Economic Association, vol. 81(2), pages 130-34, May.
- 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.
- 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.
- 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.
- Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
- 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.
- 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.
- 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.
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