Convexity in zero-sum differential games

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2002, Pages 3964-3969

  Goebel, Rafal ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTION EVALUATION; HAMILTONIANS; POLES AND ZEROS; SET THEORY; VARIATIONAL TECHNIQUES;

OPEN LOOP SADDLE POINT; ZERO SUM DIFFERENTIAL GAMES;

GAME THEORY;

EID: 0036996811     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. T. Basar and G.J. Olsder. Dynamic Noncooperative Game Theory. Academic Press, 1982.
2. L. Berkovitz. A variational approach to differential games. In Advances in Game Theory, pages 127-174. Princeton University Press, 1964.
3. L. Berkovitz. Lectures on differential games. In H. W. Kuhn and G. P. Sego, editors, Differential Games and Related Topics. pages 3-45. North Holland, Amsterdam, 1971.
4. F.H. Clarke. Optimization and Nonsmooth Analysis. Wiley, 1983.
5. R. Goebel. Convex optimal control problems with smooth Hamiltonians. submitted.
6. R. Goebel. Convexity in zero-sum differential games. SIAM J. Control Optim., 40(5):1491-1504, 2002.
7. G. Leitmann and H. Stalford. Sufficiency for optimal strategies in nash equilibrium games. In A. V. Balakrishnan, editor. Techniques of Optimization. Academic Press, NY, 1972.
8. R.T. Rockafellar. Convex Analysis. Princeton University Press, 1970.
9. R.T. Rockafellar and R. J-B Wets. Variational Analysis. Springer, 1998.
10. R.C. Scalzo. Existence of equilibrium points in n-person differential games. In O. Roxin, P. T. Liu, and R. L. Sternberg R. L., editors, Differential Games and Control Theory, pages 125-140. NY 1974.
11. A.I. Subbotin. Generalized Solutions of First-Order PDEs: the Dynamical Optimization Perspective. Birkhauser, 1995.
12. B. Tolwinski. On the existence of Nash equilibrium points for differential games with linear and nonlinear dynamics. Control and Cybernetics, 7(3):57-69, 1978.
13. P. Varaiya. N-person nonzero sum differential games with linear dynamics. SIAM Journal on Control, 8(4):441-449, 1970.