|
|
|
References
|
|
|
1. |
von Stackelberg H., Marktform und Gleichgewicht, Springer, Vienna, 1934 |
2. |
Basar T., Olsder G. J., Dynamic noncooperative game theory, SIAM, Philadelphia, 1999 |
3. |
Dockner E., Jørgensen S., Van Long N., Sorger G., Differential games in economics and management science, Cambridge University Press, Cambridge, 2000 |
4. |
Van Long N., A survey of dynamic games in economics, World Scientific, Singapore, 2010 |
5. |
Li T., Sethi S. P., “A Review of Dynamic Stackelberg Game Models”, Discrete Cont. Dyn.-B, 22:1 (2017), 125–159 |
6. |
Ho Y.-C., Luh P., Muralidharan R., “Information Structure, Stackelberg Games, and Incentive Controllability”, IEEE Trans. Automat. Control, 26:2 (1981), 454–460 |
7. |
Olsder G. J., “Phenomena in Inverse Stackelberg Games. Part 1: Static Problems”, J. Optim. Theory Appl., 143:3 (2009), 589–600 |
8. |
Olsder G. J., “Phenomena in Inverse Stackelberg Games. Part 2: Dynamic Problems”, J. Optim. Theory Appl., 143:3 (2009), 601–618 |
9. |
Groot N., De Schutter B., Hellendoorn H., “Reverse Stackelberg Games. Part I: Basic Framework”, Control Applications (CCA), 2012 IEEE Int. Conf. on Control Applications, 2012, 421–426 |
10. |
Groot N., De Schutter B., Hellendoorn H., “Reverse Stackelberg Games. Part II: Results and Open Issues”, Control Applications (CCA), 2012 IEEE Int. Conf. on Control Applications, 2012, 427–432 |
11. |
Germeier Yu. B., “Ob igrakh dvukh lits s fiksirovannoi posledovatelnostyu khodov”, Dokl. AN SSSR, 198:5 (1971), 1001–1004 |
12. |
Germeier Yu. B., Igry s neprotivopolozhnymi interesami, Nauka, M., 1976 |
13. |
Kononenko A. F., “Game-theory Analysis of a Two-level Hierarchical Control System”, USSR Comput. Math. Mathemat. Physics, 14:5 (1974), 72–81 |
14. |
Gorelov M. A., Kononenko A. F., “Dynamic Models of Conflicts. III. Hierarchical Games”, Autom. Remote Control, 76:2 (2015), 264–277 |
15. |
Shen H., Ba şar T., “Incentive-Based Pricing for Network Games with Complete and Incomplete Information”, Advances in Dynamic Game Theory: Numerical Methods, Algorithms, and Applications to Ecology and Economics, eds. Jørgensen S., Quincampoix M., Vincent Th. L., Birkhäuser, Boston, 2007, P. 431–458 |
16. |
Staňková K., Olsder G. J., Bliemer M. C. J., “Comparison of Different Toll Policies in the Dynamic Second-best Optimal Toll Design Problem. Case study on a three-link network”, Eur. J. Transp. Infrast. Res., 4:9 (2009), 331–346 |
17. |
Luh P., Ho Y., Muralidharan R., “Load Adaptive Pricing: An Emerging Tool for Electric Utilities”, IEEE Trans. Autom. Control, 27:2 (1982), 320–329 |
18. |
Burkov V. N., Goubko M., Korgin N., Novikov D., Introduction to theory of control in organizations, CRC Press, Boca Raton, 2015 |
19. |
Novikov D. A., Stimulirovanie v sotsialno-ekonomicheskikh sistemakh (bazovye matematicheskie modeli), IPU RAN, M., 1998 |
20. |
Novikov D. A., Shokhina T. E., “Incentive Mechanisms in Dynamic Active Systems”, Autom. Remote Control, 64:12 (2003), 1912–1921 |
21. |
Sundaram R. K., A first course in optimization theory, Cambridge University Press, Cambridge, 1996 |
22. |
Papageorgiou N. S., Kyritsi-Yiallourou S. Th., Handbook of applied analysis, Springer, Dordrecht, 2009 |
23. |
Hernández-Lerma O., Lasserre J. B., Discrete-time Markov control processes: basic optimality criteria, Springer, N.Y., 1996 |
24. |
Maitra A., “Discounted dynamic programming on compact metric spaces”, Sankhyā: Indian J. Statist. Ser. A, 30:2 (1968), 211–216 |
25. |
Schäl M., “Average Optimality in Dynamic Programming with General State Space”, Math. Oper. Res., 18:1 (1993), 163–172 |
26. |
Bertsekas D., Shreve S., Stochastic optimal control: the discrete time case, Athena Sci., Belmont, 1996 |
27. |
Feinberg E. A., Lewis M. E., “Optimality Inequalities for Average Cost Markov Decision Processes and the Stochastic Cash Balance Problem”, Math. Oper. Res., 32:4 (2007), 769–783 |
28. |
Cruz-Suárez D., Montes-de-Oca R., Salem-Silva F., “Conditions for the Uniqueness of Optimal Policies of Discounted Markov Decision Processes”, Math. Oper. Res., 60:3 (2004), 415–436 |
29. |
Breton M., Alj A., Haurie A., “Sequential Stackelberg Equilibria in Two-person Games”, J. Optim. Theory Appl., 59:1 (1998), 71–97 |
30. |
Blackwell D., “Discounted Dynamic Programming”, Ann. Math. Statist., 36:1 (1965), 226–235 |
31. |
Shreve S. E., Bertsekas D. P., “Universally Measurable Policies in Dynamic Programming”, Math. Oper. Res., 4:1 (1979), 15–30 |
32. |
Morgan J., “Constrained well-posed two-level optimization problems”, Nonsmooth optimization and related topics, eds. Clarke F. H., Dem'yanov V. F., Giannessi F., Springer, Boston, 1989, 307–325 |
33. |
Patrone F., “Well-posedness for Nash equilibria and related topics”, Recent developments in well-posed variational problems, eds. Lucchetti R., Revalski J., Springer, Dordrecht, 1995, 211–227 |
34. |
Montes-De-Oca R., Lemus-Rodríguez E., “When are the Value Iteration Maximizers Close to an Optimal Stationary Policy of a Discounted Markov Decision Process? Closing the Gap between the Borel Space Theory and Actual Computations”, WSEAS Trans. Math., 9:3 (2010), 151–160 |