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On the uniqueness of Nash strategies for a class of analytic differential games

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Abstract

The uniqueness of Nash equilibria is shown for the case where the data of the problem are analytic functions and the admissible strategy spaces are restricted to analytic functions of the current state and time.

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Author information

Authors and Affiliations

  1. Decision and Control Laboratory, Coordinated Science Laboratory, and Department of Electrical Engineering, University of Illinois, Urbana, Illinois

    G. P. Papavassilopoulos (Graduate Student) & J. B. Cruz Jr. (Professor)

Authors
  1. G. P. Papavassilopoulos
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  2. J. B. Cruz Jr.
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Additional information

Communicated by G. Leitmann

This work was supported in part by the Joint Services Electronics Program (US Army, US Navy, and US Air Force) under Contract No. DAAB-07-72-C-0259, in part by the National Science Foundation under Grant No. ENG-74-20091, and in part by the Department of Energy, Electric Energy Systems Division under Contract No. US ERDA EX-76-C-01-2088.

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Papavassilopoulos, G.P., Cruz, J.B. On the uniqueness of Nash strategies for a class of analytic differential games. J Optim Theory Appl 27, 309–314 (1979). https://doi.org/10.1007/BF00933234

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  • DOI: https://doi.org/10.1007/BF00933234

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