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On the Collapse of Historical Civilizations
Authors:David H.  Good   Rafael  Reuveny
Affiliation:David H. Good is associate professor and Rafael Reuveny is professor at School of Public and Environmental Affairs, Indiana University.
Abstract:To explain the collapse of historical civilizations, scholars typically point to suboptimal behaviors including misunderstanding the natural environment, shortsightedness, or a lack of institutions. We examine the collapse of four historical societies with a model of endogenous population growth and renewable resources employing components of optimal resource management, economic growth theory, and the moral philosophy of social welfare function choice. We find that these collapses may have been socially optimal. Further, we show that the transient behavior of the system is more sensitive to assumptions than the equilibrium behavior and that focusing solely on equilibria may miss key insights.
Keywords:infinite horizon    optimal control    steady state    transient behavior
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