Citation
Ibragimov, Gafurjan I. and Satimov, Numan
(2012)
On a class of simultaneous pursuit games.
Russian Mathematics , 56 (5).
pp. 39-46.
ISSN 1066-369X
Abstract
Let A and B be given convex closed bounded nonempty subsets in a Hilbert space H; let the first player choose points in the set A and let the second one do those in the set B. We understand the payoff function as the mean value of the distance between these points. The goal of the first player is to minimize the mean value, while that of the second player is to maximize it. We study the structure of optimal mixed strategies and calculate the game value.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.3103/S1066369X12050052 |
| Publisher: | Springer Link |
| Keywords: | Game; Mixed strategy; Value of the game; Optimal strategy. |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 14 Aug 2013 04:49 |
| Last Modified: | 22 Sep 2015 04:01 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3103/S1066369X12050052 |
| URI: | http://psasir.upm.edu.my/id/eprint/24977 |
| Statistic Details: | View Download Statistic |
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