Bifurcation analysis of a non-cooperative differential game with one weak player

Journal of Differential Equations

Volumn 248, Issue 6, 2010, Pages 1297-1314

  Bressan, Alberto ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 75249100657     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2009.11.025     Document Type: Article

References (15)

1. Bardi M., and Capuzzo Dolcetta I. Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations (1997), Birkhäuser
2. Basar T., and Olsder G.J. Dynamic Noncooperative Game Theory. second edition (1995), Academic Press, London
3. A. Bressan, From optimal control to non-cooperative differential games: a homotopy approach, Control Cybernet., in press
4. Bressan A., and Priuli F. Infinite horizon noncooperative differential games. J. Differential Equations 227 (2006) 230-257
5. Bressan A., and Shen W. Small BV solutions of hyperbolic non-cooperative differential games. SIAM J. Control Optim. 43 (2004) 104-215
6. Bressan A., and Shen W. Semi-cooperative strategies for differential games. Internat. J. Game Theory 32 (2004) 561-593
7. Cardaliaguet P., and Plaskacz S. Existence and uniqueness of a Nash equilibrium feedback for a simple non-zero-sum differential game. Internat. J. Game Theory 32 (2003) 33-71
8. Chow S.N., and Hale J.K. Methods of Bifurcation Theory (1982), Springer-Verlag, New York
9. Friedman A. Differential Games (1971), Wiley-Interscience
10. Kuznetsov Y.A. Elements of Applied Bifurcation Theory. second edition (1998), Springer-Verlag, New York
11. Isaacs R. Differential Games (1965), Wiley, New York
12. Lagerstrom P.A. Matched Asymptotic Expansions (1988), Springer-Verlag, New York
13. Nash J. Non-cooperative games. Ann. of Math. 2 (1951) 286-295
14. Priuli F.S. Infinite horizon noncooperative differential games with non-smooth costs. J. Math. Anal. Appl. 336 (2007) 156-170
15. Vaisbord E.M., and Zhukovskii V.I. Introduction to Multi-Players Differential Games and Their Applications (1988), Gordon and Breach Science Publishers