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STUDIA MATHEMATICA - Issue no. 2 / 2020 | |||||||
Article: |
NONLINEAR ECONOMIC GROWTH DYNAMICS IN THE CONTEXT OF A MILITARY ARMS RACE. Authors: DANIEL METZ, ADRIAN VIOREL. |
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Abstract: DOI: 10.24193/subbmath.2020.2.12 Published Online: 2020-06-05 Published Print: 2020-06-30 pp. 309-320 VIEW PDF: FULL PDF ABSTRACT: In the present contribution, we propose and analyze a dynamical economic growth model for two rival countries that engage an arms race. Under natural assumptions, we prove that global solutions exist and discuss their asymptotic long-time behavior. The results of our stability analysis support the recurring hypothesis in Cold War political science that engaging in an arms race with a technologically superior and hence faster growing adversary has damaging economic consequences. Numerical findings illustrate and support our claims. Key words: Solow-Swan model, Arms race, Asymptotic behavior |
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