Cooperative differential games

Annals of the International Society of Dynamic Games

Volumn 7, Issue , 2005, Pages 183-200

  Petrosjan, Leon A ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

Cooperative game; Differential game; Nash equilibrium; Optimal trajectory; Solution concept

Indexed keywords

EID: 39549093228     PISSN: 24740179     EISSN: 24740187     Source Type: Book Series    
DOI: 10.1007/0-8176-4429-6_9     Document Type: Chapter

References (14)

1. Filar, J., Petrosjan, L.A., Dynamic Cooperative Games, International Game Theory Review, Vol. 2, No. 1 42–65, 2000.
2. Haurie, A., On Some Properties of the Characteristic Function and Core of Multistage Game of Coalitions, IEEE Transaction on Automatic Control 236–241, April 1975.
3. Strotz, K. H., Myopia and Inconsistency in Dynamic Utility Maximization, Review of Economic Studies, Vol 23, 1955-1956.
4. Petrosjan, L.A., The Shapley Value for Differential Games, New Trends in Dynamic Games and Applications, Geert Olsder ed., Birkhauser, 409–417, 1995.
5. Petrosjan, L.A., Differential Games of Pursuit, World Scientific, London 1993.
6. Bellman, R.E., Dynamic Programming, Princeton University Press, Princeton, NJ, 1957.
7. Haurie, A., A Note on Nonzero-Sum Differential Games with Bargaining Solution, Journal of Optimization Theory and Application, Vol 18.1 31–39, 1976.
8. Kaitala, V., Pohjola, M., Optimal Recovery of a Shared Resource Stock. A Differential Game Model with Efficient Memory Equilibria, Natural Resource Modeling, Vol. 3.1 191–199, 1988.
9. Petrosjan, L.A., Danilov N.N., Cooperative Differential Games, Tomsk University Press 276, 1985.
10. Petrosjan, L.A., Danilov N.N., Stability of Solution in Nonzero-Sum Differential Games with Transferable Payoffs, Vestnik of Leningrad University, No. 1 52–59, 1979.
11. Petrosjan, L.A., On the Time-Consistency of the Nash Equilibrium in Multistage Games with Discount Payoffs, Applied Mathematics and Mechanics (ZAMM), Vol. 76 Supplement 3 535–536, 1996.
12. Petrosjan, L.A., Zaccour, G., Time-Consistent Shapley Value Allocation of Pollution Cost Reduction, Journal of Economic Dynamics and Control, Vol. 27, 381–398, 2003.
13. McKinsey, Introduction to the Theory of Games, McGraw-Hill, NY, 1952.
14. Owen, G. Game Theory, W.B. Saunders Co., Philadelphia, 1968.