Abstract
The local stability, steady state comparative statics, and local comparative dynamics of symmetric open-loop Nash equilibria for the ubiquitous class of discounted infinite horizon differential games are investigated. It is shown that the functional forms and values of the parameters specified in a differential game are crucial in determining the local stability of a steady state and, in turn, the steady state comparative statics and local comparative dynamics. A simple sufficient condition for a steady state to be a local saddle point is provided. The power and reach of the results are demonstrated by applying them to two well-known differential games.
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Communicated by G. Leitmann.
We thank a referee for several thoughtful comments that have resulted in a better paper.
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Ling, C., Caputo, M.R. A Qualitative Characterization of Symmetric Open-Loop Nash Equilibria in Discounted Infinite Horizon Differential Games. J Optim Theory Appl 149, 151–174 (2011). https://doi.org/10.1007/s10957-010-9779-x
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DOI: https://doi.org/10.1007/s10957-010-9779-x