On a Class of Hybrid Differential Games

Dmitry Gromov () and Ekaterina Gromova ()
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Dmitry Gromov: Saint Petersburg State University
Ekaterina Gromova: Saint Petersburg State University

Dynamic Games and Applications, 2017, vol. 7, issue 2, No 6, 266-288

Abstract: Abstract This paper is intended to present a systematic application of the hybrid systems framework to differential games. A special class of bimodal linear-quadratic differential games is presented and illustrated with examples; two particular classes of switching rules, time-dependent and state-dependent switches are discussed. The main contribution of the paper consists in formulating necessary optimality conditions for determining optimal strategies in both cooperative and non-cooperative cases. A practically relevant hybrid differential game of pollution reduction is considered to illustrate the developed framework.

Keywords: Differential game; Hybrid system; Cooperative game; Nash equilibrium; Pollution control (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s13235-016-0185-3

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