Geodesic
On the characteristic function construction technique in differential games with prescribed and random duration
Contributions to game theory and management, Tome 11 (2018), pp. 53-65

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This paper focuses on different approaches for calculating characteristic functions in cooperative differential games with prescribed and random duration. We construct $\alpha$-, $\delta$- and $\zeta$-characteristic functions and examine their properties in the differential game of pollution control. Additionally, we introduce a new $\eta$-characteristic function.
Keywords: differential games, prescribed duration, random duration, characteristic function, environmental resource management, pollution control. 
@article{CGTM_2018_11_a4,
     author = {Ekaterina V. Gromova and Ekaterina V. Marova},
     title = {On the characteristic function construction technique in differential games with prescribed and random duration},
     journal = {Contributions to game theory and management},
     pages = {53--65},
     publisher = {mathdoc},
     volume = {11},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2018_11_a4/}
}
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Ekaterina V. Gromova; Ekaterina V. Marova. On the characteristic function construction technique in differential games with prescribed and random duration. Contributions to game theory and management, Tome 11 (2018), pp. 53-65. http://geodesic.mathdoc.fr/item/CGTM_2018_11_a4/