Abstract:
The paradigm of randomly furcating differential games incorporates stochastic elements via randomly branching payoffs in differential games. This paper considers dynamically stable cooperative solutions in randomly
furcating differential games. Analytically tractable payoff distribution procedures contingent upon specific
random events are derived. This new approach widens the application of cooperative differential game theory
to problems where future environments are not known with certainty.
\Bibitem{PetYeu06}
\by L.~A.~Petrosyan, D.~W.-K.~Yeung
\paper Dynamically Stable Cooperative Solutions in Randomly Furcating Differential Games
\inbook Dynamical systems: modeling, optimization, and control
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2006
\vol 12
\issue 1
\pages 196--207
\mathnet{http://mi.mathnet.ru/timm143}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2247236}
\zmath{https://zbmath.org/?q=an:05203146}
\elib{https://elibrary.ru/item.asp?id=12040728}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2006
\vol 253
\issue , suppl. 1
\pages S208--S220
\crossref{https://doi.org/10.1134/S0081543806050154}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746894803}
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This publication is cited in the following 9 articles:
Ovanes Petrosian, Ildus Kuchkarov, Static & Dynamic Game Theory: Foundations & Applications, Frontiers of Dynamic Games, 2019, 175
Ovanes Petrosian, Lihong Shi, Yin Li, Hongwei Gao, “Moving Information Horizon Approach for Dynamic Game Models”, Mathematics, 7:12 (2019), 1239
O. Petrosian, E. Gromova, “Cooperative Differential Games with Dynamic Updating”, IFAC-PapersOnLine, 51:32 (2018), 413
Ovanes Petrosian, “About the Looking Forward Approach in Cooperative Differential Games with Transferable Utility”, SSRN Journal, 2018
Ovanes Petrosian, Andrey Barabanov, “Looking Forward Approach in Cooperative Differential Games with Uncertain Stochastic Dynamics”, J Optim Theory Appl, 172:1 (2017), 328
Yeung D., Petrosyan L., “Subgame Consistent Cooperation: a Comprehensive Treatise”, Subgame Consistent Cooperation: a Comprehensive Treatise, Theory and Decision Library Series C-Game Theory Mathematical Programming and Operations Research, 47, Springer-Verlag Singapore Pte Ltd, 2016, 1–520
David W. K. Yeung, Leon A. Petrosyan, Theory and Decision Library C, 47, Subgame Consistent Cooperation, 2016, 1
FABIEN NGENDAKURIYO, “Institutional Quality and Growth”, J Public Economic Theory, 15:1 (2013), 157
David W. K. Yeung, Leon A. Petrosyan, Static & Dynamic Game Theory: Foundations & Applications, Subgame Consistent Economic Optimization, 2012, 1
Citation in format AMSBIB
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