The economic literature on conflict employs a static, game-theoretic framew
ork developed by Jack Hirshleifer. The authors introduce conflict dynamics
into a model with two rival groups, each dependent on a single contested re
newable resource. The model is based on two stylized facts: conflict often
arises over scarce renewable resources, and those resources often lack well
-defined and/or enforceable property rights. In each period, groups allocat
e their members between resource harvesting and resource appropriation (or
conflict) to maximize their income. This leads to a complex nonlinear dynam
ic interaction between conflict, the two populations, and the resource. As
developed, the model relates most closely to conflict over renewable resour
ces in primitive societies. The system's global dynamics are investigated i
n simulations calibrated for the historical society of Easter Island. The m
odel's implications for contemporary lesser developed societies are examine
d.