Abstract
We suggest a method of solving differential games with terminal payoff. The method consists of applying Fenchel-Moreau [1] duality ideas to the general scheme of the Resolving Functions method [2]. The gist of the suggested method is presentation of the Resolving Function by means of the function conjugate to the payoff, and employing of involutory property of the conjugation operator for closed convex functions to obtain guarantee estimation of terminal value of the payoff. This estimation can be represented by the initial payoff value and Resolving Function integral. This paper involves the ideas of [2], adjoins [3–9] and turns out to be a new aspect of Convex Analysis application to differential games.
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© 1995 Birkhäuser Boston
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Chikrii, A.A., Rappoport, J.S. (1995). Guaranteed Result in Differential Games with Terminal Payoff. In: Olsder, G.J. (eds) New Trends in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 3. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4274-1_16
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DOI: https://doi.org/10.1007/978-1-4612-4274-1_16
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8719-3
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