The use of stylized dynamical systems models and bifurcation analysis in mo
deling individual and collective behavior in two traditional societies, the
Tsembaga of New Guinea and the Polynesians of Easter Island, is explored.
The analysis is used to isolate key aspects of individual behavior that ope
n up the possibility of resource overexploitation and key aspects of instit
utions capable of preventing overexploitation. An extension of the Brander
and Taylor [Am. Econ. Rev. 88 (1998) 119-138] Easter Island model with a mo
re realistic model for individual behavior is presented, This induces signi
ficant changes in the model dynamics which share many similarities with the
Tsembaga model of Anderies [J. Theor. Biol. 192 (1998) 515-530]. Namely, i
n both models, the ability of agents to intensify the exploitation of the r
esource base to attempt to meet demands is a fundamentally destabilizing fo
rce. The model implications for present day policy issues are explored. (C)
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