Abstract
The area of adaptive control has received a lot of attention during recent years. Many different schemes have been proposed and studied and several interesting results have been obtained. In almost all the papers the single objective case is addressed: There is one decision maker with his own control objective or there are many controllers acting in a decentralized way who nonetheless have a common objective, i.e., they are a team. Nonetheless, there are cases where there exist many controllers, each one of which has his own objective. Such multiobjective control problems can arise after the decentralization of a large system or exist as such due to the inherent characteristics of the problem. Situations like these belong to the realm of game theory. It is only natural to try to extend the ideas of adaptive control to the area of game theory. As a matter of fact, ignorance of several parameters pertaining to an opponent for which parameters no apriori off line identification is feasible is quite natural in situations of conflict.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Y. M. Chan, “Self Tuning Methods for Multiple Controller Systems,” Ph.D. Thesis, University of Illinois at Urbana-Champaign, Dept. of Electrical Engineering, 1981.
T. L. Ting, J. B. Cruz, Jr. and R. A. Milito, “Adaptive Incentive Controls for Stackelberg Games with Unknown Cost Functionals,” American Control Conference, San Diego, CA, June 1984.
G. P. Papavassilopoulos, “Iterative Techniques for the Nash Solution in Quadratic Games with Unknown Parameters,” accepted to appear in SIAM Journal on Optimization and Control, 1985; also, presented at the Istanbul Workshop on Large Scale Systems, Istanbul, Turkey, June 1984.
G. P. Papavassilopoulos, “Adaptive Dynamic Nash Games: An Example,” Seventh Annual Meeting of the Society for Economic Dynamics and Control, London, June 1985.
W. Y. Yang and G. P. Papavassilopoulos, “Decentralized Adaptive Control in a Game Situation for Discrete Time Linear, Time Invariant Systems,” submitted for publication, 1986.
W. Y. Yang, “Decentralized Adaptive Control in a Game Situation,” Ph.D. Thesis, University of Southern California, Dept. of EESystems, Los Angeles, CA, August 1986.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 D. Reidel Publishing Company
About this chapter
Cite this chapter
Papavassilopoulos, G.P. (1988). Adaptive Games. In: Albeverio, S., Blanchard, P., Hazewinkel, M., Streit, L. (eds) Stochastic Processes in Physics and Engineering. Mathematics and Its Applications, vol 42. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2893-0_13
Download citation
DOI: https://doi.org/10.1007/978-94-009-2893-0_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7803-0
Online ISBN: 978-94-009-2893-0
eBook Packages: Springer Book Archive