Abstract
This paper identifies some classes ofN-person nonzero-sum differential games that are tractable, in the sense that open-loop Nash strategies can be determined, either explicitly or qualitatively in terms of a phase-diagram portrait. The classes are characterized by conditions imposed on the Hamiltonians. Also, the underlying game structures needed to satisfy these conditions are characterized.
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Communicated by G. Leitmann
The authors wish to thank V. Kaitala, Helsinki University of Technology, and the referees.
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Dockner, E., Feichtinger, G. & Jørgensen, S. Tractable classes of nonzero-sum open-loop Nash differential games: Theory and examples. J Optim Theory Appl 45, 179–197 (1985). https://doi.org/10.1007/BF00939976
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DOI: https://doi.org/10.1007/BF00939976