Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/207061
Authors: 
Yegorov, Yuri
Grass, Dieter
Mirescu, Magda
Feichtinger, Gustav
Wirl, Franz
Year of Publication: 
2019
Series/Report no.: 
Vienna Institute of Demography Working Papers 05/2019
Abstract: 
This paper addresses the spatial evolution of countries accounting for economics, geography and (military) force. Economic activity is spatially distributed following the AK model with the output being split into consumption, investment, transport costs and military (for defense and expansion). The emperor controls the military force subject to the constraints imposed by the economy but also the geography (transport costs, border length) and the necessity to satisfy the needs of the population. The border changes depending on how much pressure the emperor can muster to counter the pressure of neighboring countries. The resulting dynamic process determines a country's size over time. The model leads to multiple steady states, large empires and small countries being separated by a threshold, and collapse. The resulting patterns can be linked to historical observations.
Subjects: 
Dynamic optimization
growth model
empire
geography
defense
Document Type: 
Working Paper

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