On the instability of the feedback equilibrium payoff in a nonzero-sum differential game on the line

Annals of the International Society of Dynamic Games

Volumn 9, Issue , 2007, Pages 57-67

  Cardaliaguet, Pierre ^a  

^a UNIVERSITÉ DE BRETAGNE OCCIDENTALE   (France)

Author keywords

Differential game; Equilibrium payoff; Memory strategy; Nash equilibrium; Terminal time

Indexed keywords

EID: 84865529809     PISSN: 24740179     EISSN: 24740187     Source Type: Book Series    
DOI: 10.1007/978-0-8176-4553-3_3     Document Type: Chapter

References (9)

1. Aubin J.-P. (1992) Viability Theory. Birkhaüser, Boston.
2. Bressan A. & Shen W. (2004) Small BV solutions of hyperbolic noncooperative differential games, SIAM J. Control Optim. 43, no. 1, 194-215.
3. Bressan A. & Shen W. (2004) Semi-cooperative Strategies for Differential Games, Internat. J. Game Theory 32, 4, 561-593.
4. Cardaliaguet P. & Plaskacz S. (2003) Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game, International J. Game Theory 32, pp. 33-71.
5. Evans L.C. & Souganidis P.E. (1984) Differential games and representation formulas for solutions of Hamilton-Jacobi Equations, Indiana Univ. Math. J., 33, 773-797.
6. Kleimenov A.F. (1993) Nonantagonist differential games (in Russian) “Nauka” Uralprime skoe Otdelenie, Ekaterinburg.
7. Kononenko, A.F. (1976) On equilibrium positional strategies in nonantagonistic differential games. Dokl. Akad. Nauk SSSR 231, 285-288.
8. Mannucci P. (2004/2005) Nonzero-sum stochastic differential games with discontinuous feedback, SIAM J. Control Optim. 43 4, 1222-1233 (electronic).
9. Tolwinski B., Haurie A. & Leitmann G. (1986) Cooperative equilibria in differential games. J. Math. Anal. Appl. 119, 182-202.