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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.
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Suggested Citation

  • 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.
    • Handle: RePEc:kap:jecgro:v:13:y:2008:i:1:p:27-55
    DOI: 10.1007/s10887-007-9025-z
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    More about this item

    Keywords

    Fertility; War; Bargaining power; Collapse; Natural resources; J13; O13; J52;
    All these keywords.

    JEL classification:

    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • O13 - Economic Development, Innovation, 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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