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Easter Island’s collapse: a tale of a population race

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  • David Croix

    ()

  • Davide Dottori

    ()

Abstract

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.

(This abstract was borrowed from another version of this item.)

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Bibliographic Info

Article provided by Springer in its journal Journal of Economic Growth.

Volume (Year): 13 (2008)
Issue (Month): 1 (March)
Pages: 27-55

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Handle: RePEc:kap:jecgro:v:13:y:2008:i:1:p:27-55

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Web page: http://www.springerlink.com/link.asp?id=102931

Related research

Keywords: Fertility; War; Bargaining power; Collapse; Natural resources; J13; O13; J52;

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References

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