On a class of simultaneous pursuit games.
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...
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my.upm.eprints.249772015-09-22T04:01:27Z http://psasir.upm.edu.my/id/eprint/24977/ On a class of simultaneous pursuit games. Ibragimov, Gafurjan I. Satimov, Numan 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. Springer Link 2012-05 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24977/1/On%20a%20class%20of%20simultaneous%20pursuit%20games.pdf Ibragimov, Gafurjan I. and Satimov, Numan (2012) On a class of simultaneous pursuit games. Russian Mathematics , 56 (5). pp. 39-46. ISSN 1066-369X http://link.springer.com/ 10.3103/S1066369X12050052 English |
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| description |
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. |
| format |
Article |
| author |
Ibragimov, Gafurjan I. Satimov, Numan |
| spellingShingle |
Ibragimov, Gafurjan I. Satimov, Numan On a class of simultaneous pursuit games. |
| author_facet |
Ibragimov, Gafurjan I. Satimov, Numan |
| author_sort |
Ibragimov, Gafurjan I. |
| title |
On a class of simultaneous pursuit games. |
| title_short |
On a class of simultaneous pursuit games. |
| title_full |
On a class of simultaneous pursuit games. |
| title_fullStr |
On a class of simultaneous pursuit games. |
| title_full_unstemmed |
On a class of simultaneous pursuit games. |
| title_sort |
on a class of simultaneous pursuit games. |
| publisher |
Springer Link |
| publishDate |
2012 |
| url |
http://psasir.upm.edu.my/id/eprint/24977/1/On%20a%20class%20of%20simultaneous%20pursuit%20games.pdf http://psasir.upm.edu.my/id/eprint/24977/ http://link.springer.com/ |
| _version_ |
1643828521325297664 |
| score |
13.211869 |