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An extension of Jørgensen's differential game

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Abstract

This note extends Jørgensen's exponential differential game (Ref. 1) to a more general type of game structure. In particular, the Hamiltonians of the players are not required to be linear in the state variables and the control variables may not be in exponential form.

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References

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Communicated by G. Leitmann

The helpful comments of Professor C. Plourde and an anonymous referee are gratefully acknowledged.

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Yeung, D. An extension of Jørgensen's differential game. J Optim Theory Appl 54, 423–426 (1987). https://doi.org/10.1007/BF00939443

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