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Infinite horizon noncooperative differential games
- Source :
-
Journal of Differential Equations . Aug2006, Vol. 227 Issue 1, p230-257. 28p. - Publication Year :
- 2006
-
Abstract
- Abstract: For a noncooperative differential game, the value functions of the various players satisfy a system of Hamilton–Jacobi equations. In the present paper, we consider a class of infinite horizon games with nonlinear costs exponentially discounted in time. By the analysis of the value functions, we establish the existence of Nash equilibrium solutions in feedback form and provide results and counterexamples on their uniqueness and stability. [Copyright &y& Elsevier]
- Subjects :
- *GAME theory
*EQUATIONS
*MATHEMATICAL models
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 227
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 20901553
- Full Text :
- https://doi.org/10.1016/j.jde.2006.01.005