Additional aspects of the Stackelberg strategy in nonzero-sum games
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.Get Access
The Stackelberg strategy in nonzero-sum games is a reasonable solution concept for games where, either due to lack of information on the part of one player about the performance function of the other, or due to different speeds in computing the strategies, or due to differences in size or strength, one player dominates the entire game by imposing a solution which is favorable to himself. This paper discusses some properties of this solution concept when the players use controls that are functions of the state variables of the game in addition to time. The difficulties in determining such controls are also pointed out. A simple two-stage finite state discrete game is used to illustrate these properties.
- Von Stackelberg, H.,The Theory of the Market Economy, Oxford University, Oxford, England, 1952.
- Simaan, M., andCruz, J. B., Jr.,On the Stackelberg Strategy in Nonzero-Sum Games, Journal of Optimization Theory and Applications, Vol. 11, No. 5, 1973.
- Chen, C. I., andCruz, J. B., Jr.,Stackelberg Solution for Two-Person Games with Biased Information Patterns, IEEE Transactions on Automatic Control, Vol. AC-17, No. 6, 1972.
- Starr, A. W., andHo, Y. C.,Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 3, 1969.
- Starr, A. W., andHo, Y. C.,Further Properties of Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 4, 1969.
- Bellman, R.,Dynomic Programming, Princeton University Press, Princeton, New Jersey, 1957.
- Propoi, A. I.,Minimax Problems of Control Under Successively Acquired Information, Automation and Remote Control, Vol. 31, No. 1, 1970.
- Additional aspects of the Stackelberg strategy in nonzero-sum games
Journal of Optimization Theory and Applications
Volume 11, Issue 6 , pp 613-626
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers-Plenum Publishers
- Additional Links
- Industry Sectors