Existence theorems of equilibrium points in stackelberg
- 1 January 1987
- journal article
- research article
- Published by Taylor & Francis in Optimization
- Vol. 18 (6) , 857-866
- https://doi.org/10.1080/02331938708843300
Abstract
A two players static. Stackelberg game is considered with constraints on the decision variables. Existence theorems of equilibrium points are given when the reaction set of the follower to the strategy of the leader, is a singleton. Some definition are presented and discussed and a simple existence theorem is given also in the case when the follower has more than one element in his reaction set. Finally an example of dynamic Stackelbebg game- is analized to emphasize some features arising when constraints are present on control variables.Keywords
This publication has 15 references indexed in Scilit:
- Closure and upper semicontinuity results in mathematical programming, Nash and economic equilibria1Optimization, 1986
- A sufficient condition for lower semicontinuity of solution sets of systems of convex inequalitiesPublished by Springer Nature ,1984
- An Efficient Point Algorithm for a Linear Two-Stage Optimization ProblemOperations Research, 1983
- An Algorithm for Solving the General Bilevel Programming ProblemMathematics of Operations Research, 1983
- Performance bounds for hierarchical systems under partial dynamic informationJournal of Optimization Theory and Applications, 1983
- On upper semicontinuity of global minima in constrained optimization problemsJournal of Mathematical Analysis and Applications, 1982
- An explicit solution to the multi-level programming problemComputers & Operations Research, 1982
- Closed-loop Stackelberg strategies with applications in the optimal control of multilevel systemsIEEE Transactions on Automatic Control, 1979
- On the lower semicontinuity of optimal sets in convex parametric optimizationPublished by Springer Nature ,1979
- Continuous Selections. IAnnals of Mathematics, 1956