Differential Games with Additive Payoffs

Leon Petrosyan and Anna Tur ()
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Leon Petrosyan: Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 199034Â Saint Petersburg, Russia
Anna Tur: Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 199034Â Saint Petersburg, Russia

International Game Theory Review (IGTR), 2024, vol. 26, issue 02, 1-16

Abstract: Differential games with additive payoffs are considered. A new approach to constructing the characteristic function for such games is defined. Properties of optimality principles such as the core and the Shapley value constructed by applying the new characteristic function are studied. The solutions obtained are demonstrated by means of an example.

Keywords: Differential game; additive payoff; cooperative game; strong time-consistent solution; core; Shapley value (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0219198924400103

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