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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2006, Volume 12, Number 1, Pages 196–207 (Mi timm143)  
This article is cited in 9 scientific papers (total in 9 papers)

Dynamically Stable Cooperative Solutions in Randomly Furcating Differential Games

L. A. Petrosyan, D. W.-K. Yeung
Full-text PDF (324 kB) Citations (9)
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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.
Received: 17.02.2006
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2006, Volume 253, Issue 1, Pages S208–S220
DOI: https://doi.org/10.1134/S0081543806050154
Bibliographic databases:
Document Type: Article
Language: English
Citation: L. A. Petrosyan, D. W.-K. Yeung, “Dynamically Stable Cooperative Solutions in Randomly Furcating Differential Games”, Dynamical systems: modeling, optimization, and control, Trudy Inst. Mat. i Mekh. UrO RAN, 12, no. 1, 2006, 196–207; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S208–S220
Citation in format AMSBIB
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\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}
Linking options:
  • https://www.mathnet.ru/eng/timm143
  • https://www.mathnet.ru/eng/timm/v12/i1/p196
    • This publication is cited in the following 9 articles:
    1. Ovanes Petrosian, Ildus Kuchkarov, Static & Dynamic Game Theory: Foundations & Applications, Frontiers of Dynamic Games, 2019, 175  crossref
    2. Ovanes Petrosian, Lihong Shi, Yin Li, Hongwei Gao, “Moving Information Horizon Approach for Dynamic Game Models”, Mathematics, 7:12 (2019), 1239  crossref
    3. O. Petrosian, E. Gromova, “Cooperative Differential Games with Dynamic Updating”, IFAC-PapersOnLine, 51:32 (2018), 413  crossref
    4. Ovanes Petrosian, “About the Looking Forward Approach in Cooperative Differential Games with Transferable Utility”, SSRN Journal, 2018  crossref
    5. Ovanes Petrosian, Andrey Barabanov, “Looking Forward Approach in Cooperative Differential Games with Uncertain Stochastic Dynamics”, J Optim Theory Appl, 172:1 (2017), 328  crossref
    6. 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  crossref  mathscinet  zmath  isi
    7. David W. K. Yeung, Leon A. Petrosyan, Theory and Decision Library C, 47, Subgame Consistent Cooperation, 2016, 1  crossref
    8. FABIEN NGENDAKURIYO, “Institutional Quality and Growth”, J Public Economic Theory, 15:1 (2013), 157  crossref
    9. David W. K. Yeung, Leon A. Petrosyan, Static & Dynamic Game Theory: Foundations & Applications, Subgame Consistent Economic Optimization, 2012, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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