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@article{CGTM_2020_13_a19, author = {Ovanes Petrosian and Sergei Pogozhev}, title = {Looking forward approach with random horizon in cooperative differential games}, journal = {Contributions to game theory and management}, pages = {360--387}, publisher = {mathdoc}, volume = {13}, year = {2020}, language = {en}, url = {http://geodesic.mathdoc.fr/item/CGTM_2020_13_a19/} }
TY - JOUR AU - Ovanes Petrosian AU - Sergei Pogozhev TI - Looking forward approach with random horizon in cooperative differential games JO - Contributions to game theory and management PY - 2020 SP - 360 EP - 387 VL - 13 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CGTM_2020_13_a19/ LA - en ID - CGTM_2020_13_a19 ER -
%0 Journal Article %A Ovanes Petrosian %A Sergei Pogozhev %T Looking forward approach with random horizon in cooperative differential games %J Contributions to game theory and management %D 2020 %P 360-387 %V 13 %I mathdoc %U http://geodesic.mathdoc.fr/item/CGTM_2020_13_a19/ %G en %F CGTM_2020_13_a19
Ovanes Petrosian; Sergei Pogozhev. Looking forward approach with random horizon in cooperative differential games. Contributions to game theory and management, Tome 13 (2020), pp. 360-387. http://geodesic.mathdoc.fr/item/CGTM_2020_13_a19/
[1] Eiben A. E., Smith J. E., Introduction to Evolutionary Computing, Springer, Berlin, 2003 | MR | Zbl
[2] Haurie A., “A note on nonzero-sum differential games with bargaining solutions”, Journal of Optimization Theory and Applications, 18 (1976), 31–39 | DOI | MR | Zbl
[3] Subbotin A. I., “Generalization of the main equation of differential game theory”, Journal of Optimization Theory and Applications, 43 (1984), 103–133 | DOI | MR | Zbl
[4] Subbotin A. I., Generalized Solutions of First Order PDEs, Birkhauser, Basel, 1995 | MR
[5] Cassandras C. J., Lafortune S., Introduction to discrete event systems, Springer, New York, 2008 | MR | Zbl
[6] Gillies D. B., “Solutions to general non-zero-sum games”, Contributions to the Theory of Games, 4 (1959), 47–85 | MR
[7] Yeung D. W. K., Petrosyan L. A., Subgame-consistent Economic Optimization, Springer, New York, 2012 | MR
[8] Gromova E. V., Petrosian O. L., “Control of information horizon for cooperative differential game of pollution control”, 2016 International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016, 1–4
[9] Shevkoplyas E. V., “Time-consistency Problem Under Condition of a Random Game Duration in Resource Extraction”, Contributions to Game Theory and Management, 2 (2009), 461–473 | MR
[10] Shevkoplyas E. V., “Stable cooperation in differential games with random duration”, Mat. Teor. Igr Pril., 2:3 (2010), 79–105 | Zbl
[11] Shevkoplyas E. V., “The Shapley value in cooperative differential games with random duration”, Ann. Dyn. Games, Springer, New York, 2011 | MR
[12] Shevkoplyas E. V., “The Hamilton-Jacobi-Bellman Equation for a Class of Differential Games with Random Duration”, Automation and Remote Control, 75 (2014), 959–970 | DOI | MR
[13] Goodwin G. C., Seron M. M., Dona J. A., Constrained Control and Estimation: An Optimisation Approach, Springer, New York, 2005 | MR | Zbl
[14] Kuchkarov I., O. Petrosian, “On Class of Linear Quadratic Non-cooperative Differential Games with Continuous Updating”, Lecture Notes in Computer Science, 11548, 2019, 635–650 | DOI | Zbl
[15] Rawlings J. B., Mayne D. Q., Model Predictive Control: Theory and Design, Nob Hill Publishing, Madison, 2009
[16] Petrosjan L. A., “Strongly time-consistent differential optimality principles”, Vestnik St. Petersburg Univ. Math., 26 (1993), 40–46 | MR
[17] Petrosjan L. A., Shevkoplyas E. V., “Cooperative solutions for games with random duration”, Game Theory Appl., 9 (2003), 125–139 | MR
[18] Petrosyan L. A., “Time-consistency of solutions in multi-player differential games”, Vestnik Leningrad State University, 4 (1977), 46–52 | Zbl
[19] Petrosyan L. A., Yeung D. W. K., “Dynamically stable solutions in randomly-furcating differential games”, Trans. Steklov Inst. Math, 253 (2006), 208–220 | MR
[20] Petrosyan L. A., Danilov N. N., “Stability of solutions in non-zero sum differential games with transferable payoffs”, Vestnik Leningrad State University, 1 (1979), 52–59 | MR | Zbl
[21] Shapley L. S., “A Value for n-person Games”, Contributions to the Theory of Games, 2 (1953), 307–317 | MR
[22] Shapley L. S., Notes on the N-Person Game III: Some Variants of the von-Neumann-Morgenstern Definition of Solution, Rand Corporation research memorandum RM-817, 1952, 12 pp.
[23] Wang L., Model Predictive Control System Design and Implementation Using MATLAB, Springer, New York, 2005
[24] Krasovskii N. N., Kotel'nikova A. N., “On a differential interception game”, Proceedings of the Steklov Institute of Mathematics, 268 (2010), 161–206 | DOI | MR | Zbl
[25] Petrosian O. L., “Looking Forward Approach in Cooperative Differential Games”, International Game Theory Review, 18:2 (2016), 1–14 | MR
[26] Petrosian O. L., “Looking Forward Approach in Cooperative Differential Games with infinite-horizon”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2016, no. 4, 18–30 | MR
[27] Petrosian O. L., Barabanov A. E., “Looking Forward Approach in Cooperative Differential Games with Uncertain-Stochastic Dynamics”, Journal of Optimization Theory and Applications, 172:1 (2017), 328–347 | DOI | MR | Zbl
[28] Petrosian O., Tur A., “Hamilton-Jacobi-Bellman Equations for Non-cooperative Differential Games with Continuous Updating”, Mathematical Optimization Theory and Operations Research, 2019, 178–191 | DOI | MR
[29] Petrosian 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 (2016), 79–106 | MR
[30] Petrosian O., Kuchkarov I., “About the Looking Forward Approach in Cooperative Differential Games with Transferable Utility”, Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2019, 175–208 | DOI | MR | Zbl
[31] Petrosian O., Shi L., Li Y., Gao H., “Moving Information Horizon Approach for Dynamic Game Models”, Mathematics, 7 (2019), 1239 | DOI
[32] Petrosian O. L., Nastych M. A., Volf D. A., “Differential Game of Oil Market with Moving Informational Horizon and Non-Transferable Utility”, Constructive Nonsmooth Analysis and Related Topics, dedicated to the memory of V.F. Demyanov, CNSA, 2017, 1–4
[33] Chander P., Tulkens H., “A core-theoretic solution for the design of cooperative agreements on transfrontier pollution”, International Tax and Public Finance, 2:2 (1995), 279–293 | DOI
[34] Bellman R., Dynamic Programming, Princeton University Press, Princeton, 1957 | MR | Zbl
[35] Jorgensen S., Yeung D. W. K., “Inter- and intragenerational renewable resource extraction”, Annals of Operations Research, 88 (1999), 275–289 | DOI | MR | Zbl
[36] Jorgensen S., Martin-Herran G., Zaccour G., “Agreeability and Time Consistency in Linear-State Differential Games”, Journal of Optimization Theory and Applications, 119 (2003), 49–63 | DOI | MR | Zbl
[37] Kostyunin S. Yu., Shevkoplyas E. V., “On simplification of integral payoff in differential games with random duration”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2011, no. 4, 47–56 | MR
[38] Basar T., Olsder G. J., Dynamic Noncooperative Game Theory, Academic Press, London, 1995 | MR | Zbl
[39] Kwon W. H., Han S. H., Receding Horizon Control: Model Predictive Control for State Models, Springer, New York, 2005
[40] Yeung D. W. K., Petrosian O. L., “Infinite Horizon Dynamic Games: A New Approach via Information Updating”, International Game Theory Review, 20:1 (2017), 1–23 | MR