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2018 | OriginalPaper | Buchkapitel

12.  S-strongly Time-Consistency in Differential Games

verfasst von : Leon A. Petrosyan, Ekaterina V. Gromova

Erschienen in: Frontiers of Dynamic Games

Verlag: Springer International Publishing

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Abstract

In the paper the definition of S-strongly time-consistency in differential games is introduced. The approach of the construction of S-strong time-consistent subcore of the classical core on the base of characteristic function obtained by normalization of classical characteristic function is formulated. Its relation to another characteristic function obtained by an integral extension of the original characteristic function is studied.

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Literatur
1.
Zurück zum Zitat Basar, T., Olsder, G.J.: Dynamic Noncooperative Game Theory. Academic, London (1982)CrossRef Basar, T., Olsder, G.J.: Dynamic Noncooperative Game Theory. Academic, London (1982)CrossRef
2.
Zurück zum Zitat Dockner, E.J., Jorgensen, S., Long, N.V., Sorger, G.: Differential Games in Economics and Management Science. Cambridge University Press, Cambridge (2000) Dockner, E.J., Jorgensen, S., Long, N.V., Sorger, G.: Differential Games in Economics and Management Science. Cambridge University Press, Cambridge (2000)
3.
Zurück zum Zitat Gromova, E.: The Shapley value as a sustainable cooperative solution in differential games of three players. In: Recent Advances in Game Theory and Applications. Springer, Berlin (2016)CrossRef Gromova, E.: The Shapley value as a sustainable cooperative solution in differential games of three players. In: Recent Advances in Game Theory and Applications. Springer, Berlin (2016)CrossRef
4.
Zurück zum Zitat Gromova, E.V., Petrosyan, L.A.: Strongly time-consistent cooperative solution for a differential game of pollution control. UBS 55, 140–159 (2015)MATH Gromova, E.V., Petrosyan, L.A.: Strongly time-consistent cooperative solution for a differential game of pollution control. UBS 55, 140–159 (2015)MATH
6.
Zurück zum Zitat Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1947)MATH Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1947)MATH
7.
Zurück zum Zitat Petrosyan, L.A.: Strongly dynamically stable differential optimality principles. Vestnik SPb. Univ. Vyp. 1: Mat. Mekh. Astronom. 4, 40–46 (1993) Petrosyan, L.A.: Strongly dynamically stable differential optimality principles. Vestnik SPb. Univ. Vyp. 1: Mat. Mekh. Astronom. 4, 40–46 (1993)
8.
Zurück zum Zitat Petrosyan, L.A.: Characteristic function in cooperative differential games. Vestnik SPb. Univ. Vyp. 1: Mat. Mekh. Astronom. 1, 48–52 (1995) Petrosyan, L.A.: Characteristic function in cooperative differential games. Vestnik SPb. Univ. Vyp. 1: Mat. Mekh. Astronom. 1, 48–52 (1995)
9.
Zurück zum Zitat Petrosyan, L.A., Danilov, N.N.: Stability of the solutions in nonantagonistic differential games with transferable payoffs. Vestnik Leningrad. Univ. Vyp. 1: Mat. Mekh. Astronom. 1, 52–59 (1979) Petrosyan, L.A., Danilov, N.N.: Stability of the solutions in nonantagonistic differential games with transferable payoffs. Vestnik Leningrad. Univ. Vyp. 1: Mat. Mekh. Astronom. 1, 52–59 (1979)
10.
Zurück zum Zitat Petrosyan, L.A., Pankratova, Y.B.: Construction of strongly time-consistent subcores in differential games with prescribed duration. Trudy Inst. Mat. i Mekh. UrO RAN 23(1), 219–227 (2017)CrossRef Petrosyan, L.A., Pankratova, Y.B.: Construction of strongly time-consistent subcores in differential games with prescribed duration. Trudy Inst. Mat. i Mekh. UrO RAN 23(1), 219–227 (2017)CrossRef
11.
Zurück zum Zitat Petrosyan, L.A., Zenkevich, N.A.: Game Theory. World Scientific, Singapore (2016)CrossRef Petrosyan, L.A., Zenkevich, N.A.: Game Theory. World Scientific, Singapore (2016)CrossRef
12.
Zurück zum Zitat Petrosyan, O.L., Gromova, E.V., Pogozhev, S.V.: Strong time-consistent subset of core in cooperative differential games with finite time horizon. Mat. Teor. Igr Pril. 8(4), 79–106 (2016)MATH Petrosyan, O.L., Gromova, E.V., Pogozhev, S.V.: Strong time-consistent subset of core in cooperative differential games with finite time horizon. Mat. Teor. Igr Pril. 8(4), 79–106 (2016)MATH
13.
Zurück zum Zitat Yeung, D.W.K., Petrosyan, L.A.: Subgame Consistent Economic Optimization, p. 395. Birkhauser, New York (2012)CrossRef Yeung, D.W.K., Petrosyan, L.A.: Subgame Consistent Economic Optimization, p. 395. Birkhauser, New York (2012)CrossRef
Metadaten
Titel
S-strongly Time-Consistency in Differential Games
verfasst von
Leon A. Petrosyan
Ekaterina V. Gromova
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-92988-0_12