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.
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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:
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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.
- 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.
- 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).
- 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
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