An approach for an algorithmic solution of discrete optimal control problems and their game-theoretical extension
We consider time discrete systems which are described by a system of difference equations. The related discrete optimal control problems are introduced. Additionally, a gametheoretic extension is derived, which leads to general multicriteria decision problems. The characterization of their optimal behavior is studied. Given starting and final states define the decision process; applying dynamic programming techniques suitable optimal solutions can be gained. We generalize that approach to a special gametheoretic decision procedure on networks. We characterize Nash equilibria and present sufficient conditions for their existence. A constructive algorithm is derived. The sufficient conditions are exploited to get the algorithmic solution. Its complexity analysis is presented and at the end we conclude with an extension to the complementary case of Pareto optima. Copyright Springer-Verlag 2006
Volume (Year): 14 (2006)
Issue (Month): 4 (December)
|Contact details of provider:|| Web page: http://www.springer.com|
Web page: http://www.fhi.sk/ssov
Web page: http://www.mot.org.hu/index_en.html
Web page: http://nb.vse.cz/csov/english.htm
Web page: http://www.oegor.at/
Web page: http://hdoi.hr/en_US/en/
|Order Information:||Web: http://www.springer.com/business/operations+research/journal/10100|
When requesting a correction, please mention this item's handle: RePEc:spr:cejnor:v:14:y:2006:i:4:p:357-375. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla)or (Rebekah McClure)
If references are entirely missing, you can add them using this form.