Abstract
The construction of time-lag incentive strategies for continuous time convex problems is considered. The strategies are affine in the data available and they are represented by means of Stieltjes measures. It is shown how incentive strategies can be used as equilibrium strategies in symmetric games where the decision makers are cooperative.
Similar content being viewed by others
References
Basar, T., andSelbuz, H.,Closed-Loop Stackelberg Strategies with Applications in the Optimal Control of Multilevel Systems, IEEE Transactions on Automatic Control, Vol. AC-24, pp. 166–179, 1979.
Papavassilopoulos, G. P.,Leader Follower and Nash Strategies with State Information, University of Illinois, PhD Thesis, 1979.
Papavassilopoulos, G. P., andCruz, J. B., Jr,Sufficient Conditions for Stackelberg and Nash Strategies with Memory, Journal of Optimization Theory and Applications, Vol. 31, pp. 233–260, 1980.
Tolwinski, B.,Closed-Loop Stackelberg Solution to a Multistage Linear-Quadratic Game, Journal of Optimization Theory and Applications, Vol. 34, pp. 485–501, 1981.
Ho, Y. C., Luh, P. B., andOlsder, G. J.,A Control Theoretic View on Incentives, Automatica, Vol. 18, pp. 167–179, 1982.
Zheng, Y. P., andBasar, T.,Existence and Derivation of Optimal Affine Incentive Schemes or Stackelberg Games with Partial Information: A Geometric Approach, International Journal of Control, Vol. 15, pp. 997–1011, 1982.
Zheng, Y. P., Basar, T., andCruz, J. B., Jr.,Stackelberg Strategies and Incentives in Multiperson Deterministic Decision Problems, IEEE Transactions on Systems, Man, and Cybernetic, Vol. SMC-14, pp. 10–24, 1984.
Ehtamo, H., andHäm←äinen, R. P.,Construction of Optimal Affine Incentive Strategies for Linear-Quadratic Stackelberg Games, Proceedings of the 24th IEEE Conference on Decision and Control, Fort Lauderdale, Florida, pp. 1093–1098, 1985.
Ehetamo, H., andHämäläinen, R. P.,On Affine Incentives for Dynamic Decision Problems, Dynamic Games and Applications in Economics, Edited by T. Basar, Springer-Verlag, Berlin, Germany, pp. 46–63, 1986.
Royden, H. L.,Real Analysis, Macmillan, New York, New York, 1969.
Cameron, R. H., andMartin, W. T.,An Unsymmetric Fubini Theorem, Bulletin of the American Mathematical Society, Vol. 47, pp. 121–125, 1941.
Tolwinski, B.,A Concept of Cooperative Equilibrium for Dynamic Games, Automatica, Vol. 18, pp. 431–441, 1982.
Tolwinski, B., Haurie, A., andLeitmann, G.,Cooperative Equilibria in Differential Games, Journal of Mathematical Analysis and Applications, Vol. 119, pp. 182–202, 1986.
Radner, R.,Monitoring Cooperative Agreements in a Repeated Principal-Agent Relationship, Econometrica, Vol. 49, pp. 1127–1148, 1981.
Ehtamo, H., andHämäläinen, R. P.,A Cooperative Incentive Equilibrium for a Resource Management Problem, Helsinki University of Technology, Systems Research Report No. A25, 1988.
Author information
Authors and Affiliations
Additional information
Communicated by J. B. Cruz, Jr.
This work was supported by the Research Council for Technology of the Academy of Finland and by the Emil Aaltonen Foundation.
Rights and permissions
About this article
Cite this article
Ehtamo, H., Hämäläinen, R.P. Incentive strategies and equilibria for dynamic games with delayed information. J Optim Theory Appl 63, 355–369 (1989). https://doi.org/10.1007/BF00939802
Issue Date:
DOI: https://doi.org/10.1007/BF00939802